Data.Colour.CIE:lightness from colour-2.3.3

Time bar (total: 2.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample554.0ms (24.2%)

Memory
-8.6MiB live, 875.7MiB allocated
Samples
351.0ms8 190×0valid
2.0ms42×1valid
2.0ms24×2valid
Precisions
Click to see histograms. Total time spent on operations: 178.0ms
ival-mult: 89.0ms (49.9% of total)
ival-sub: 71.0ms (39.8% of total)
exact: 8.0ms (4.5% of total)
ival-true: 6.0ms (3.4% of total)
ival-assert: 3.0ms (1.7% of total)
adjust: 1.0ms (0.6% of total)
Bogosity

explain50.0ms (2.2%)

Memory
-0.3MiB live, 120.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
00-0-#s(literal 16 binary64)
00-0-(*.f64 x #s(literal 116 binary64))
00-0-#s(literal 116 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
18.0ms510×0valid
0.0ms1valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (54.2% of total)
ival-sub: 3.0ms (40.7% of total)
exact: 1.0ms (13.6% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess13.0ms (0.6%)

Memory
23.5MiB live, 23.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11911
24510
39610
414510
516410
617210
055
075
1115
2125
0124
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 116 binary64))
cost-diff128
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11111
21211
01210
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(*.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
#s(literal 16 binary64)
Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) x)
x
#s(literal 116 binary64)
#s(literal 16 binary64)

localize16.0ms (0.7%)

Memory
-12.9MiB live, 25.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 116 binary64))
accuracy0.00390625
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Samples
11.0ms255×0valid
0.0ms1valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (56.5% of total)
ival-sub: 1.0ms (18.8% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
3.3MiB live, 3.2MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())
Outputs
#s(alt -16 (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (* x 116) 16) (* x 116))
0.0ms
x
@-inf
((- (* x 116) 16) (* x 116))
0.0ms
x
@0
((- (* x 116) 16) (* x 116))

simplify14.0ms (0.6%)

Memory
-20.0MiB live, 18.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01588
13688
27888
316888
426488
529488
635688
740688
844288
945188
1045588
045579
Stop Event
iter limit
saturated
Counts
24 → 24
Calls
Call 1
Inputs
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
Outputs
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))

rewrite510.0ms (22.3%)

Memory
5.1MiB live, 275.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1268
21528
312118
082917
Stop Event
iter limit
node limit
iter limit
Counts
2 → 298
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(*.f64 x #s(literal 116 binary64))
Outputs
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eval349.0ms (15.2%)

Memory
-8.0MiB live, 69.7MiB allocated
Compiler

Compiled 9 962 to 890 computations (91.1% saved)

prune36.0ms (1.6%)

Memory
-21.5MiB live, 17.8MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3193322
Fresh000
Picked101
Done000
Total3203323
Accuracy
100.0%
Counts
323 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
50.1%
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
51.4%
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify4.0ms (0.2%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
cost-diff0
(*.f64 x #s(literal 116 binary64))
cost-diff0
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
cost-diff0
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
01227
11527
01527
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(literal -16 binary64)
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
(*.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
x
#s(literal 116 binary64)
#s(literal -16 binary64)
Outputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(literal -16 binary64)
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) x)
x
#s(literal 116 binary64)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
x
#s(literal 116 binary64)
#s(literal -16 binary64)

localize34.0ms (1.5%)

Memory
-13.0MiB live, 29.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
accuracy0
(*.f64 x #s(literal 116 binary64))
accuracy31.9602067162576
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
accuracy31.07699141678569
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
Samples
12.0ms255×0valid
0.0ms1valid
Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (39.6% of total)
ival-add: 1.0ms (19.8% of total)
ival-sub: 1.0ms (19.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())
Outputs
#s(alt -16 (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt -16 (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt -16 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (patch #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (* x 116) 16) (- (* x 116) 16) (* x 116) (+ (* x 116) -16))
0.0ms
x
@-inf
((- (* x 116) 16) (- (* x 116) 16) (* x 116) (+ (* x 116) -16))
0.0ms
x
@0
((- (* x 116) 16) (- (* x 116) 16) (* x 116) (+ (* x 116) -16))

simplify12.0ms (0.5%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015192
136192
278192
3168192
4264192
5294192
6356192
7406192
8442192
9451192
10455192
0455165
Stop Event
iter limit
saturated
Counts
48 → 48
Calls
Call 1
Inputs
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
Outputs
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

rewrite219.0ms (9.6%)

Memory
-0.6MiB live, 195.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
01221
14021
223021
3186821
0863121
Stop Event
iter limit
node limit
iter limit
Counts
4 → 314
Calls
Call 1
Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
(*.f64 x #s(literal 116 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
Outputs
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eval69.0ms (3%)

Memory
23.0MiB live, 60.2MiB allocated
Compiler

Compiled 10 402 to 933 computations (91% saved)

prune45.0ms (2%)

Memory
-20.2MiB live, 18.2MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3620362
Fresh000
Picked033
Done000
Total3623365
Accuracy
100.0%
Counts
365 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
50.1%
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
51.4%
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
Compiler

Compiled 25 to 20 computations (20% saved)

regimes6.0ms (0.3%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
Calls

3 calls:

2.0ms
(*.f64 x #s(literal 116 binary64))
2.0ms
x
2.0ms
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
100.0%1(*.f64 x #s(literal 116 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.2%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
Outputs
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
Calls

3 calls:

2.0ms
(*.f64 x #s(literal 116 binary64))
2.0ms
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
98.0%3x
98.0%3(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
98.0%3(*.f64 x #s(literal 116 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.2%)

Memory
6.6MiB live, 6.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
Outputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
Calls

3 calls:

1.0ms
(*.f64 x #s(literal 116 binary64))
1.0ms
x
1.0ms
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Results
AccuracySegmentsBranch
51.4%1x
51.4%1(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
51.4%1(*.f64 x #s(literal 116 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch41.0ms (1.8%)

Memory
-30.7MiB live, 15.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
0.9498212125255557
321.05941611313204
9.0ms
-1579343380409358.3
-0.004718917424598191
Samples
29.0ms288×0valid
Compiler

Compiled 80 to 135 computations (-68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (51.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify40.0ms (1.8%)

Memory
4.5MiB live, 41.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01448
11548
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(if (<=.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (if (<=.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))))
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(if (<=.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (if (<=.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))))
(if (<=.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x)) (if (<=.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))))
#s(approx (- (* x 116) 16) #s(literal -16 binary64))

soundness235.0ms (10.3%)

Memory
-9.6MiB live, 116.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01588
13688
27888
316888
426488
529488
635688
740688
844288
945188
1045588
045579
058
078
1268
21528
312118
082917
Stop Event
done
iter limit
node limit
iter limit
iter limit
saturated
Compiler

Compiled 42 to 26 computations (38.1% saved)

preprocess25.0ms (1.1%)

Memory
28.0MiB live, 28.0MiB allocated
Compiler

Compiled 66 to 34 computations (48.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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