Data.Colour.CIE:lightness from colour-2.3.3

Time bar (total: 2.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample815.0ms (34.5%)

Memory
-7.2MiB live, 816.4MiB allocated
Samples
503.0ms8 200×0valid
2.0ms27×2valid
2.0ms29×1valid
Precisions
Click to see histograms. Total time spent on operations: 291.0ms
ival-mult: 223.0ms (76.5% of total)
ival-sub: 50.0ms (17.2% of total)
exact: 8.0ms (2.7% of total)
ival-true: 6.0ms (2.1% of total)
ival-assert: 3.0ms (1% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

explain64.0ms (2.7%)

Memory
7.8MiB live, 85.1MiB 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
36.0ms510×0valid
0.0ms2valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 16.0ms (79.1% of total)
ival-sub: 3.0ms (14.8% 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)

preprocess13.0ms (0.6%)

Memory
12.6MiB live, 12.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11911
24510
39610
414810
517110
618010
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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
0.8MiB live, 0.8MiB 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)

localize13.0ms (0.6%)

Memory
13.7MiB live, 13.7MiB 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
9.0ms255×0valid
0.0ms2valid
Compiler

Compiled 24 to 12 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (53.1% of total)
ival-sub: 1.0ms (26.5% 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)

series52.0ms (2.2%)

Memory
-37.3MiB live, 1.4MiB 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))

simplify12.0ms (0.5%)

Memory
15.2MiB live, 15.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01588
13688
28288
317288
427088
530088
636088
741088
844688
945588
1045988
045979
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))

rewrite305.0ms (12.9%)

Memory
-0.8MiB live, 253.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1268
21528
312118
087217
Stop Event
iter limit
node limit
iter limit
Counts
2 → 723
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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eval199.0ms (8.4%)

Memory
11.8MiB live, 127.9MiB allocated
Compiler

Compiled 29 258 to 1 340 computations (95.4% saved)

prune31.0ms (1.3%)

Memory
1.5MiB live, 37.0MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New7443747
Fresh000
Picked101
Done000
Total7453748
Accuracy
100.0%
Counts
748 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
49.3%
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
52.9%
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify4.0ms (0.2%)

Memory
3.2MiB live, 3.2MiB 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)

localize43.0ms (1.8%)

Memory
-8.9MiB live, 29.6MiB 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))
accuracy32.44584390427378
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
accuracy30.15010226072232
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
Samples
36.0ms255×0valid
0.0ms2valid
Compiler

Compiled 45 to 16 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-add: 26.0ms (86.4% of total)
ival-mult: 2.0ms (6.6% of total)
ival-sub: 1.0ms (3.3% 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)

series2.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB 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
0.0ms
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))

simplify39.0ms (1.6%)

Memory
-25.9MiB live, 12.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015192
136192
282192
3172192
4270192
5300192
6360192
7410192
8446192
9455192
10459192
0459165
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))

rewrite237.0ms (10.1%)

Memory
24.7MiB live, 139.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
01221
14021
223021
3188421
0865821
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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eval135.0ms (5.7%)

Memory
-19.4MiB live, 63.3MiB allocated
Compiler

Compiled 10 402 to 933 computations (91% saved)

prune8.0ms (0.3%)

Memory
21.4MiB live, 21.4MiB 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))
49.3%
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
52.9%
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
Compiler

Compiled 25 to 20 computations (20% saved)

regimes7.0ms (0.3%)

Memory
10.1MiB live, 10.1MiB 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)

regimes23.0ms (1%)

Memory
-29.7MiB live, 8.6MiB 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
98.5%3x
98.5%3(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
98.5%3(*.f64 x #s(literal 116 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.2%)

Memory
7.3MiB live, 7.3MiB 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
52.9%1x
52.9%1(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
52.9%1(*.f64 x #s(literal 116 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch22.0ms (0.9%)

Memory
24.4MiB live, 24.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.405799167647001e-7
2542801455.6061306
10.0ms
-6045014504.071444
-0.40367849463677763
Samples
8.0ms320×0valid
Compiler

Compiled 88 to 149 computations (-69.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 2.0ms (85.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify76.0ms (3.2%)

Memory
-17.3MiB live, 52.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
12140
22640
33240
44940
57240
614840
743640
8345340
Stop Event
node limit
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 (or (<=.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64)) (not (<=.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))) #s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x)) #s(approx (- (* x 116) 16) #s(literal -16 binary64)))
#s(approx (- (* x 116) 16) #s(literal -16 binary64))

soundness171.0ms (7.2%)

Memory
-2.6MiB live, 123.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01588
13688
28288
317288
427088
530088
636088
741088
844688
945588
1045988
045979
058
078
1268
21528
312118
087217
Stop Event
done
iter limit
node limit
iter limit
iter limit
saturated
Compiler

Compiled 39 to 27 computations (30.8% saved)

preprocess82.0ms (3.5%)

Memory
26.6MiB live, 105.8MiB allocated
Compiler

Compiled 60 to 36 computations (40% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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