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OptimizerBatchIrace class that implements iterated racing. Calls irace::irace() from package irace.

Source

Lopez-Ibanez M, Dubois-Lacoste J, Caceres LP, Birattari M, Stuetzle T (2016). “The irace package: Iterated racing for automatic algorithm configuration.” Operations Research Perspectives, 3, 43–58. doi:10.1016/j.orp.2016.09.002 .

Parameters

instances

list()
A list of instances where the configurations executed on.

targetRunnerParallel

function()
A function that executes the objective function with a specific parameter configuration and instance. A default function is provided, see section "Target Runner and Instances".

For the meaning of all other parameters, see irace::defaultScenario().

Internal Termination Parameters

The algorithm can terminated with TerminatorEvals. Other Terminators do not work with OptimizerBatchIrace. Additionally, the following internal termination parameters can be used:

maxExperiments

integer(1)
Maximum number of runs (invocations of targetRunner) that will be performed. It determines the maximum budget of experiments for the tuning. Default is 0.

minExperiments

integer(1)
Minimum number of runs (invocations of targetRunner) that will be performed. It determines the minimum budget of experiments for the tuning. The actual budget depends on the number of parameters and minSurvival. Default is NA.

maxTime

integer(1)
Maximum total execution time for the executions of targetRunner. targetRunner must return two values: cost and time. This value and the one returned by targetRunner must use the same units (seconds, minutes, iterations, evaluations, ...). Default is 0.

budgetEstimation

numeric(1)
Fraction (smaller than 1) of the budget used to estimate the mean computation time of a configuration. Only used when maxTime > 0 Default is 0.05.

minMeasurableTime

numeric(1)
Minimum time unit that is still (significantly) measureable. Default is 0.01.

Initial parameter values

  • digits:

    • Adjusted default: 15.

    • This represents double parameters with a higher precision and avoids rounding errors.

Target Runner and Instances

The irace package uses a targetRunner script or R function to evaluate a configuration on a particular instance. Usually it is not necessary to specify a targetRunner function when using OptimizerBatchIrace. A default function is used that forwards several configurations and instances to the user defined objective function. As usually, the user defined function has a xs, xss or xdt parameter depending on the used Objective class. For irace, the function needs an additional instances parameter.

fun = function(xs, instances) {
 # function to evaluate configuration in `xs` on instance `instances`
}

Archive

The Archive holds the following additional columns:

  • "race" (integer(1))
    Race iteration.

  • "step" (integer(1))
    Step number of race.

  • "instance" (integer(1))
    Identifies instances across races and steps.

  • "configuration" (integer(1))
    Identifies configurations across races and steps.

Result

The optimization result (instance$result) is the best performing elite of the final race. The reported performance is the average performance estimated on all used instances.

Dictionary

This Optimizer can be instantiated via the dictionary mlr_optimizers or with the associated sugar function opt():

mlr_optimizers$get("irace")
opt("irace")

Progress Bars

$optimize() supports progress bars via the package progressr combined with a Terminator. Simply wrap the function in progressr::with_progress() to enable them. We recommend to use package progress as backend; enable with progressr::handlers("progress").

Super classes

bbotk::Optimizer -> bbotk::OptimizerBatch -> OptimizerBatchIrace

Methods

Inherited methods


Method new()

Creates a new instance of this R6 class.

Usage


Method clone()

The objects of this class are cloneable with this method.

Usage

OptimizerBatchIrace$clone(deep = FALSE)

Arguments

deep

Whether to make a deep clone.

Examples

# runtime of the example is too long
# \donttest{

library(data.table)

search_space = domain = ps(
  x1 = p_dbl(-5, 10),
  x2 = p_dbl(0, 15)
)

codomain = ps(y = p_dbl(tags = "minimize"))

# branin function with noise
# the noise generates different instances of the branin function
# the noise values are passed via the `instances` parameter
fun = function(xdt, instances) {
  ys = branin(xdt[["x1"]], xdt[["x2"]], noise = as.numeric(instances))
  data.table(y = ys)
}

# define objective with instances as a constant
objective = ObjectiveRFunDt$new(
 fun = fun,
 domain = domain,
 codomain = codomain,
 constants = ps(instances = p_uty()))

instance = OptimInstanceBatchSingleCrit$new(
  objective = objective,
  search_space = search_space,
  terminator = trm("evals", n_evals = 96))

# create instances of branin function
instances = rnorm(10, mean = 0, sd = 0.1)

# load optimizer irace and set branin instances
optimizer = opt("irace", instances = instances)

# modifies the instance by reference
optimizer$optimize(instance)
#> # 2025-10-10 10:35:34 UTC: Initialization
#> # Elitist race
#> # Elitist new instances: 1
#> # Elitist limit: 2
#> # nbIterations: 3
#> # minNbSurvival: 3
#> # nbParameters: 2
#> # seed: 438793322
#> # confidence level: 0.95
#> # budget: 96
#> # mu: 5
#> # deterministic: FALSE
#> 
#> # 2025-10-10 10:35:35 UTC: Iteration 1 of 3
#> # experimentsUsed: 0
#> # remainingBudget: 96
#> # currentBudget: 32
#> # nbConfigurations: 5
#> # Markers:
#>      x No test is performed.
#>      c Configurations are discarded only due to capping.
#>      - The test is performed and some configurations are discarded.
#>      = The test is performed but no configuration is discarded.
#>      ! The test is performed and configurations could be discarded but elite configurations are preserved.
#>      . All alive configurations are elite and nothing is discarded.
#> 
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> | |   Instance|      Alive|       Best|       Mean best| Exp so far|  W time|  rho|KenW|  Qvar|
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> |x|          1|          5|          5|     5.696544597|          5|00:00:00|   NA|  NA|    NA|
#> |x|          2|          5|          5|     5.696544597|         10|00:00:00|+1.00|1.00|0.0000|
#> |x|          3|          5|          5|     5.696544597|         15|00:00:00|+1.00|1.00|0.0000|
#> |x|          4|          5|          5|     5.696544597|         20|00:00:00|+1.00|1.00|0.0000|
#> |-|          5|          1|          5|     5.696544597|         25|00:00:00|   NA|  NA|    NA|
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> Best-so-far configuration:           5    mean value:      5.696544597
#> Description of the best-so-far configuration:
#>   .ID.               x1               x2 .PARENT.
#> 5    5 2.15160071849823 4.15610745549202       NA
#> 
#> # 2025-10-10 10:35:35 UTC: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks):
#>                 x1               x2
#> 5 2.15160071849823 4.15610745549202
#> # 2025-10-10 10:35:35 UTC: Iteration 2 of 3
#> # experimentsUsed: 25
#> # remainingBudget: 71
#> # currentBudget: 35
#> # nbConfigurations: 5
#> # Markers:
#>      x No test is performed.
#>      c Configurations are discarded only due to capping.
#>      - The test is performed and some configurations are discarded.
#>      = The test is performed but no configuration is discarded.
#>      ! The test is performed and configurations could be discarded but elite configurations are preserved.
#>      . All alive configurations are elite and nothing is discarded.
#> 
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> | |   Instance|      Alive|       Best|       Mean best| Exp so far|  W time|  rho|KenW|  Qvar|
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> |x|          6|          5|          6|     2.058597335|          5|00:00:00|   NA|  NA|    NA|
#> |x|          1|          5|          6|     2.058597335|          9|00:00:00|+1.00|1.00|0.0000|
#> |x|          4|          5|          6|     2.058597335|         13|00:00:00|+1.00|1.00|0.0000|
#> |x|          5|          5|          6|     2.058597335|         17|00:00:00|+1.00|1.00|0.0000|
#> |-|          2|          2|          6|     2.058597335|         21|00:00:00|+1.00|1.00|0.0000|
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> Best configuration for the instances in this race: 6
#> Best-so-far configuration:           5    mean value:      5.696544597
#> Description of the best-so-far configuration:
#>   .ID.               x1               x2 .PARENT.
#> 5    5 2.15160071849823 4.15610745549202       NA
#> 
#> # 2025-10-10 10:35:35 UTC: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks):
#>                 x1               x2
#> 5 2.15160071849823 4.15610745549202
#> 6 9.43809640151962 1.19790239189972
#> # 2025-10-10 10:35:35 UTC: Iteration 3 of 3
#> # experimentsUsed: 46
#> # remainingBudget: 50
#> # currentBudget: 50
#> # nbConfigurations: 7
#> # Markers:
#>      x No test is performed.
#>      c Configurations are discarded only due to capping.
#>      - The test is performed and some configurations are discarded.
#>      = The test is performed but no configuration is discarded.
#>      ! The test is performed and configurations could be discarded but elite configurations are preserved.
#>      . All alive configurations are elite and nothing is discarded.
#> 
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> | |   Instance|      Alive|       Best|       Mean best| Exp so far|  W time|  rho|KenW|  Qvar|
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> |x|          7|          7|         12|    0.7123056014|          7|00:00:00|   NA|  NA|    NA|
#> |x|          3|          7|         12|    0.7123056014|         13|00:00:00|+1.00|1.00|0.0000|
#> |x|          2|          7|         12|    0.7123056014|         18|00:00:00|+1.00|1.00|0.0000|
#> |x|          4|          7|         12|    0.7123056014|         23|00:00:00|+1.00|1.00|0.0000|
#> |-|          1|          3|         12|    0.7123056014|         28|00:00:00|+1.00|1.00|0.0000|
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> Best configuration for the instances in this race: 12
#> Best-so-far configuration:           6    mean value:      2.058597335
#> Description of the best-so-far configuration:
#>   .ID.               x1               x2 .PARENT.
#> 6    6 9.43809640151962 1.19790239189972        5
#> 
#> # 2025-10-10 10:35:35 UTC: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks):
#>                  x1               x2
#> 6  9.43809640151962 1.19790239189972
#> 5  2.15160071849823 4.15610745549202
#> 12 3.00459676598218 1.91049682606301
#> # 2025-10-10 10:35:35 UTC: Iteration 4 of 4
#> # experimentsUsed: 74
#> # remainingBudget: 22
#> # currentBudget: 22
#> # nbConfigurations: 4
#> # Markers:
#>      x No test is performed.
#>      c Configurations are discarded only due to capping.
#>      - The test is performed and some configurations are discarded.
#>      = The test is performed but no configuration is discarded.
#>      ! The test is performed and configurations could be discarded but elite configurations are preserved.
#>      . All alive configurations are elite and nothing is discarded.
#> 
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> | |   Instance|      Alive|       Best|       Mean best| Exp so far|  W time|  rho|KenW|  Qvar|
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> |x|          8|          4|         12|    0.7123056014|          4|00:00:00|   NA|  NA|    NA|
#> |x|          7|          4|         12|    0.7123056014|          5|00:00:00|+1.00|1.00|0.0000|
#> |x|          6|          4|         12|    0.7123056014|          7|00:00:00|+1.00|1.00|0.0000|
#> |x|          5|          4|         12|    0.7123056014|          9|00:00:00|+1.00|1.00|0.0000|
#> |-|          2|          3|         12|    0.7123056014|         10|00:00:00|+1.00|1.00|0.0000|
#> |.|          3|          3|         12|    0.7123056014|         10|00:00:00|+1.00|1.00|0.0000|
#> |.|          4|          3|         12|    0.7123056014|         10|00:00:00|+1.00|1.00|0.0000|
#> |.|          1|          3|         12|    0.7123056014|         10|00:00:00|+1.00|1.00|0.0000|
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> Best-so-far configuration:          12    mean value:     0.7123056014
#> Description of the best-so-far configuration:
#>    .ID.               x1               x2 .PARENT.
#> 12   12 3.00459676598218 1.91049682606301        5
#> 
#> # 2025-10-10 10:35:36 UTC: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks):
#>                  x1               x2
#> 12 3.00459676598218 1.91049682606301
#> 6  9.43809640151962 1.19790239189972
#> 5  2.15160071849823 4.15610745549202
#> # 2025-10-10 10:35:36 UTC: Iteration 5 of 5
#> # experimentsUsed: 84
#> # remainingBudget: 12
#> # currentBudget: 12
#> # nbConfigurations: 4
#> # Markers:
#>      x No test is performed.
#>      c Configurations are discarded only due to capping.
#>      - The test is performed and some configurations are discarded.
#>      = The test is performed but no configuration is discarded.
#>      ! The test is performed and configurations could be discarded but elite configurations are preserved.
#>      . All alive configurations are elite and nothing is discarded.
#> 
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> | |   Instance|      Alive|       Best|       Mean best| Exp so far|  W time|  rho|KenW|  Qvar|
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> |x|          8|          4|         12|    0.7123056014|          1|00:00:00|   NA|  NA|    NA|
#> |x|          3|          4|         12|    0.7123056014|          2|00:00:00|+1.00|1.00|0.0000|
#> |x|          2|          4|         12|    0.7123056014|          3|00:00:00|+1.00|1.00|0.0000|
#> |x|          1|          4|         12|    0.7123056014|          4|00:00:00|+1.00|1.00|0.0000|
#> |-|          7|          3|         12|    0.7123056014|          5|00:00:00|+1.00|1.00|0.0000|
#> |.|          5|          3|         12|    0.7123056014|          5|00:00:00|+1.00|1.00|0.0000|
#> |.|          6|          3|         12|    0.7123056014|          5|00:00:00|+1.00|1.00|0.0000|
#> |.|          4|          3|         12|    0.7123056014|          5|00:00:00|+1.00|1.00|0.0000|
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> Best-so-far configuration:          12    mean value:     0.7123056014
#> Description of the best-so-far configuration:
#>    .ID.               x1               x2 .PARENT.
#> 12   12 3.00459676598218 1.91049682606301        5
#> 
#> # 2025-10-10 10:35:36 UTC: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks):
#>                  x1               x2
#> 12 3.00459676598218 1.91049682606301
#> 6  9.43809640151962 1.19790239189972
#> 5  2.15160071849823 4.15610745549202
#> # 2025-10-10 10:35:36 UTC: Stopped because there is not enough budget left to race more than the minimum (3).
#> # You may either increase the budget or set 'minNbSurvival' to a lower value.
#> # Iteration: 6
#> # nbIterations: 6
#> # experimentsUsed: 89
#> # timeUsed: 0
#> # remainingBudget: 7
#> # currentBudget: 7
#> # number of elites: 3
#> # nbConfigurations: 3
#> # Total CPU user time: 1.484, CPU sys time: 0.005, Wall-clock time: 1.489
#> # 2025-10-10 10:35:36 UTC: Starting post-selection:
#> # Configurations selected: 12, 6, 5, 1.
#> # Pending instances: 1, 1, 1, 4.
#> # 2025-10-10 10:35:37 UTC: seed: 438793322
#> # Configurations: 4
#> # Available experiments: 7
#> # minSurvival: 1
#> # Markers:
#>      x No test is performed.
#>      c Configurations are discarded only due to capping.
#>      - The test is performed and some configurations are discarded.
#>      = The test is performed but no configuration is discarded.
#>      ! The test is performed and configurations could be discarded but elite configurations are preserved.
#>      . All alive configurations are elite and nothing is discarded.
#> 
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> | |   Instance|      Alive|       Best|       Mean best| Exp so far|  W time|  rho|KenW|  Qvar|
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> |x|          7|          4|         12|    0.7123056014|          1|00:00:00|   NA|  NA|    NA|
#> |.|          1|          4|         12|    0.7123056014|          1|00:00:00|+1.00|1.00|0.0000|
#> |.|          4|          4|         12|    0.7123056014|          1|00:00:00|+1.00|1.00|0.0000|
#> |.|          5|          4|         12|    0.7123056014|          1|00:00:00|+1.00|1.00|0.0000|
#> |x|          8|          4|         12|    0.7123056014|          2|00:00:00|+1.00|1.00|0.0000|
#> |.|          3|          4|         12|    0.7123056014|          2|00:00:00|+1.00|1.00|0.0000|
#> |.|          2|          4|         12|    0.7123056014|          2|00:00:00|+1.00|1.00|0.0000|
#> |-|          6|          1|         12|    0.7123056014|          3|00:00:00|   NA|  NA|    NA|
#> +-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+
#> Best-so-far configuration:          12    mean value:     0.7123056014
#> Description of the best-so-far configuration:
#>    .ID.               x1               x2 .PARENT.
#> 12   12 3.00459676598218 1.91049682606301        5
#> 
#> # 2025-10-10 10:35:37 UTC: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks):
#>                  x1               x2
#> 12 3.00459676598218 1.91049682606301
#> # Total CPU user time: 1.788, CPU sys time: 0.01, Wall-clock time: 1.799
#>          x1       x2 configuration  x_domain         y
#>       <num>    <num>         <int>    <list>     <num>
#> 1: 3.004597 1.910497            12 <list[2]> 0.7123056

# best scoring configuration
instance$result
#>          x1       x2 configuration  x_domain         y
#>       <num>    <num>         <int>    <list>     <num>
#> 1: 3.004597 1.910497            12 <list[2]> 0.7123056

# all evaluations
as.data.table(instance$archive)
#>             x1         x2           y  race  step instance configuration
#>          <num>      <num>       <num> <int> <int>    <int>         <int>
#>  1:  4.0266007  9.7811070  69.4498893     1     1        1             1
#>  2: -3.4733993  2.2811072 117.6810288     1     1        1             2
#>  3:  0.2766007 13.5311070  82.6217692     1     1        1             3
#>  4:  7.7766007  6.0311075  31.8604553     1     1        1             4
#>  5:  2.1516007  4.1561075   5.6965446     1     1        1             5
#>  6:  4.0266007  9.7811070  69.4498893     1     1        5             1
#>  7: -3.4733993  2.2811072 117.6810288     1     1        5             2
#>  8:  0.2766007 13.5311070  82.6217692     1     1        5             3
#>  9:  7.7766007  6.0311075  31.8604553     1     1        5             4
#> 10:  2.1516007  4.1561075   5.6965446     1     1        5             5
#> 11:  4.0266007  9.7811070  69.4498893     1     1        8             1
#> 12: -3.4733993  2.2811072 117.6810288     1     1        8             2
#> 13:  0.2766007 13.5311070  82.6217692     1     1        8             3
#> 14:  7.7766007  6.0311075  31.8604553     1     1        8             4
#> 15:  2.1516007  4.1561075   5.6965446     1     1        8             5
#> 16:  4.0266007  9.7811070  69.4498893     1     1        2             1
#> 17: -3.4733993  2.2811072 117.6810288     1     1        2             2
#> 18:  0.2766007 13.5311070  82.6217692     1     1        2             3
#> 19:  7.7766007  6.0311075  31.8604553     1     1        2             4
#> 20:  2.1516007  4.1561075   5.6965446     1     1        2             5
#> 21:  4.0266007  9.7811070  69.4498893     1     1        7             1
#> 22: -3.4733993  2.2811072 117.6810288     1     1        7             2
#> 23:  0.2766007 13.5311070  82.6217692     1     1        7             3
#> 24:  7.7766007  6.0311075  31.8604553     1     1        7             4
#> 25:  2.1516007  4.1561075   5.6965446     1     1        7             5
#> 26:  2.1516007  4.1561075   5.6965446     2     1        4             5
#> 27:  9.4380964  1.1979024   2.0585973     2     1        4             6
#> 28:  2.6662158 10.7114427  66.0482550     2     1        4             7
#> 29: -0.9377328  6.2995126  17.3878051     2     1        4             8
#> 30: -0.2024575  4.5803442  22.4586034     2     1        4             9
#> 31:  9.4380964  1.1979024   2.0585973     2     1        1             6
#> 32:  2.6662158 10.7114427  66.0482550     2     1        1             7
#> 33: -0.9377328  6.2995126  17.3878051     2     1        1             8
#> 34: -0.2024575  4.5803442  22.4586034     2     1        1             9
#> 35:  9.4380964  1.1979024   2.0585973     2     1        2             6
#> 36:  2.6662158 10.7114427  66.0482550     2     1        2             7
#> 37: -0.9377328  6.2995126  17.3878051     2     1        2             8
#> 38: -0.2024575  4.5803442  22.4586034     2     1        2             9
#> 39:  9.4380964  1.1979024   2.0585973     2     1        7             6
#> 40:  2.6662158 10.7114427  66.0482550     2     1        7             7
#> 41: -0.9377328  6.2995126  17.3878051     2     1        7             8
#> 42: -0.2024575  4.5803442  22.4586034     2     1        7             9
#> 43:  9.4380964  1.1979024   2.0585973     2     1        5             6
#> 44:  2.6662158 10.7114427  66.0482550     2     1        5             7
#> 45: -0.9377328  6.2995126  17.3878051     2     1        5             8
#> 46: -0.2024575  4.5803442  22.4586034     2     1        5             9
#> 47:  2.1516007  4.1561075   5.6965446     3     1        9             5
#> 48:  9.4380964  1.1979024   2.0585973     3     1        9             6
#> 49:  7.4659299  3.1320151  16.9226397     3     1        9            10
#> 50:  7.5366533  0.7759566  13.3175340     3     1        9            11
#> 51:  3.0045968  1.9104968   0.7123056     3     1        9            12
#> 52:  4.7920415  1.8426197  11.0168730     3     1        9            13
#> 53:  4.1408296  3.9262104  10.1026354     3     1        9            14
#> 54:  9.4380964  1.1979024   2.0585973     3     1        8             6
#> 55:  7.4659299  3.1320151  16.9226397     3     1        8            10
#> 56:  7.5366533  0.7759566  13.3175340     3     1        8            11
#> 57:  3.0045968  1.9104968   0.7123056     3     1        8            12
#> 58:  4.7920415  1.8426197  11.0168730     3     1        8            13
#> 59:  4.1408296  3.9262104  10.1026354     3     1        8            14
#> 60:  7.4659299  3.1320151  16.9226397     3     1        5            10
#> 61:  7.5366533  0.7759566  13.3175340     3     1        5            11
#> 62:  3.0045968  1.9104968   0.7123056     3     1        5            12
#> 63:  4.7920415  1.8426197  11.0168730     3     1        5            13
#> 64:  4.1408296  3.9262104  10.1026354     3     1        5            14
#> 65:  7.4659299  3.1320151  16.9226397     3     1        2            10
#> 66:  7.5366533  0.7759566  13.3175340     3     1        2            11
#> 67:  3.0045968  1.9104968   0.7123056     3     1        2            12
#> 68:  4.7920415  1.8426197  11.0168730     3     1        2            13
#> 69:  4.1408296  3.9262104  10.1026354     3     1        2            14
#> 70:  7.4659299  3.1320151  16.9226397     3     1        1            10
#> 71:  7.5366533  0.7759566  13.3175340     3     1        1            11
#> 72:  3.0045968  1.9104968   0.7123056     3     1        1            12
#> 73:  4.7920415  1.8426197  11.0168730     3     1        1            13
#> 74:  4.1408296  3.9262104  10.1026354     3     1        1            14
#> 75:  9.4380964  1.1979024   2.0585973     4     1       10             6
#> 76:  2.1516007  4.1561075   5.6965446     4     1       10             5
#> 77:  3.0045968  1.9104968   0.7123056     4     1       10            12
#> 78:  2.3588556  2.7426348   3.2414939     4     1       10            15
#> 79:  2.3588556  2.7426348   3.2414939     4     1        9            15
#> 80:  3.0045968  1.9104968   0.7123056     4     1        4            12
#> 81:  2.3588556  2.7426348   3.2414939     4     1        4            15
#> 82:  3.0045968  1.9104968   0.7123056     4     1        7            12
#> 83:  2.3588556  2.7426348   3.2414939     4     1        7            15
#> 84:  2.3588556  2.7426348   3.2414939     4     1        5            15
#> 85:  3.6196369  3.2723983   3.2717513     5     1       10            16
#> 86:  3.6196369  3.2723983   3.2717513     5     1        8            16
#> 87:  3.6196369  3.2723983   3.2717513     5     1        5            16
#> 88:  3.6196369  3.2723983   3.2717513     5     1        1            16
#> 89:  3.6196369  3.2723983   3.2717513     5     1        9            16
#> 90:  4.0266007  9.7811070  69.4498893     6     1        9             1
#> 91:  4.0266007  9.7811070  69.4498893     6     1       10             1
#> 92:  4.0266007  9.7811070  69.4498893     6     1        4             1
#>             x1         x2           y  race  step instance configuration
#>               timestamp batch_nr
#>                  <POSc>    <int>
#>  1: 2025-10-10 10:35:35        1
#>  2: 2025-10-10 10:35:35        1
#>  3: 2025-10-10 10:35:35        1
#>  4: 2025-10-10 10:35:35        1
#>  5: 2025-10-10 10:35:35        1
#>  6: 2025-10-10 10:35:35        2
#>  7: 2025-10-10 10:35:35        2
#>  8: 2025-10-10 10:35:35        2
#>  9: 2025-10-10 10:35:35        2
#> 10: 2025-10-10 10:35:35        2
#> 11: 2025-10-10 10:35:35        3
#> 12: 2025-10-10 10:35:35        3
#> 13: 2025-10-10 10:35:35        3
#> 14: 2025-10-10 10:35:35        3
#> 15: 2025-10-10 10:35:35        3
#> 16: 2025-10-10 10:35:35        4
#> 17: 2025-10-10 10:35:35        4
#> 18: 2025-10-10 10:35:35        4
#> 19: 2025-10-10 10:35:35        4
#> 20: 2025-10-10 10:35:35        4
#> 21: 2025-10-10 10:35:35        5
#> 22: 2025-10-10 10:35:35        5
#> 23: 2025-10-10 10:35:35        5
#> 24: 2025-10-10 10:35:35        5
#> 25: 2025-10-10 10:35:35        5
#> 26: 2025-10-10 10:35:35        6
#> 27: 2025-10-10 10:35:35        6
#> 28: 2025-10-10 10:35:35        6
#> 29: 2025-10-10 10:35:35        6
#> 30: 2025-10-10 10:35:35        6
#> 31: 2025-10-10 10:35:35        7
#> 32: 2025-10-10 10:35:35        7
#> 33: 2025-10-10 10:35:35        7
#> 34: 2025-10-10 10:35:35        7
#> 35: 2025-10-10 10:35:35        8
#> 36: 2025-10-10 10:35:35        8
#> 37: 2025-10-10 10:35:35        8
#> 38: 2025-10-10 10:35:35        8
#> 39: 2025-10-10 10:35:35        9
#> 40: 2025-10-10 10:35:35        9
#> 41: 2025-10-10 10:35:35        9
#> 42: 2025-10-10 10:35:35        9
#> 43: 2025-10-10 10:35:35       10
#> 44: 2025-10-10 10:35:35       10
#> 45: 2025-10-10 10:35:35       10
#> 46: 2025-10-10 10:35:35       10
#> 47: 2025-10-10 10:35:35       11
#> 48: 2025-10-10 10:35:35       11
#> 49: 2025-10-10 10:35:35       11
#> 50: 2025-10-10 10:35:35       11
#> 51: 2025-10-10 10:35:35       11
#> 52: 2025-10-10 10:35:35       11
#> 53: 2025-10-10 10:35:35       11
#> 54: 2025-10-10 10:35:35       12
#> 55: 2025-10-10 10:35:35       12
#> 56: 2025-10-10 10:35:35       12
#> 57: 2025-10-10 10:35:35       12
#> 58: 2025-10-10 10:35:35       12
#> 59: 2025-10-10 10:35:35       12
#> 60: 2025-10-10 10:35:35       13
#> 61: 2025-10-10 10:35:35       13
#> 62: 2025-10-10 10:35:35       13
#> 63: 2025-10-10 10:35:35       13
#> 64: 2025-10-10 10:35:35       13
#> 65: 2025-10-10 10:35:35       14
#> 66: 2025-10-10 10:35:35       14
#> 67: 2025-10-10 10:35:35       14
#> 68: 2025-10-10 10:35:35       14
#> 69: 2025-10-10 10:35:35       14
#> 70: 2025-10-10 10:35:35       15
#> 71: 2025-10-10 10:35:35       15
#> 72: 2025-10-10 10:35:35       15
#> 73: 2025-10-10 10:35:35       15
#> 74: 2025-10-10 10:35:35       15
#> 75: 2025-10-10 10:35:36       16
#> 76: 2025-10-10 10:35:36       16
#> 77: 2025-10-10 10:35:36       16
#> 78: 2025-10-10 10:35:36       16
#> 79: 2025-10-10 10:35:36       17
#> 80: 2025-10-10 10:35:36       18
#> 81: 2025-10-10 10:35:36       18
#> 82: 2025-10-10 10:35:36       19
#> 83: 2025-10-10 10:35:36       19
#> 84: 2025-10-10 10:35:36       20
#> 85: 2025-10-10 10:35:36       21
#> 86: 2025-10-10 10:35:36       22
#> 87: 2025-10-10 10:35:36       23
#> 88: 2025-10-10 10:35:36       24
#> 89: 2025-10-10 10:35:36       25
#> 90: 2025-10-10 10:35:37       26
#> 91: 2025-10-10 10:35:37       27
#> 92: 2025-10-10 10:35:37       28
#>               timestamp batch_nr
# }