Lanczos kernel

Time bar (total: 14.1s)

analyze22.0ms (0.2%)

Memory
0.1MiB live, 38.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.9s (13.4%)

Memory
40.2MiB live, 2 239.9MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sin: 341.0ms (30.3% of total)
ival-div: 338.0ms (30% of total)
ival-mult: 158.0ms (14% of total)
...in/eval/compile.rkt:105:19: 146.0ms (13% of total)
ival-<=: 79.0ms (7% of total)
ival-pi: 35.0ms (3.1% of total)
ival-and: 21.0ms (1.9% of total)
...in/eval/compile.rkt:104:19: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess129.0ms (0.9%)

Memory
-38.6MiB live, 119.3MiB allocated
Algorithm
1×egg-herbie
Rules
1 984×fma-define
834×associate-*l*
764×distribute-lft-neg-in
760×distribute-frac-neg2
668×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038663
1112663
2494631
32565631
45282631
57342631
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (PI.f32))) (*.f32 tau (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 x))) (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 (neg.f32 x) tau))) (*.f32 (PI.f32) (*.f32 (neg.f32 x) tau))) (sin.f32 (*.f32 (PI.f32) (neg.f32 x)))) (neg.f32 (*.f32 (PI.f32) (neg.f32 x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (*.f32 (PI.f32) tau))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 x))) (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 (neg.f32 x) tau))) (*.f32 (PI.f32) (*.f32 (neg.f32 x) tau))) (sin.f32 (*.f32 (PI.f32) (neg.f32 x)))) (neg.f32 (*.f32 (PI.f32) (neg.f32 x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (PI.f32))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))))))
Symmetry

(abs x)

(abs tau)

explain182.0ms (1.3%)

Memory
2.7MiB live, 304.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(*.f32 x (PI.f32))
00-0-(sin.f32 (*.f32 x (PI.f32)))
00-0-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f32(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))cancellation10
Confusion
Predicted +Predicted -
+12
-0253
Precision
1.0
Recall
0.3333333333333333
Confusion?
Predicted +Predicted MaybePredicted -
+102
-00253
Precision?
1.0
Recall?
0.3333333333333333
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms512×0valid
Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 13.0ms (35.6% of total)
ival-sin: 13.0ms (35.6% of total)
ival-div: 7.0ms (19.2% of total)
ival-pi: 2.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Compiler

Compiled 65 to 21 computations (67.7% saved)

prune2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶97.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
▶97.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Compiler

Compiled 92 to 44 computations (52.2% saved)

simplify43.0ms (0.3%)

Memory
-7.7MiB live, 74.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (*.f32 x (PI.f32)) tau)
✓cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓cost-diff0
(*.f32 (PI.f32) (*.f32 x tau))
✓cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓cost-diff0
(*.f32 (PI.f32) tau)
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
✓cost-diff0
(*.f32 (PI.f32) tau)
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Rules
602×times-frac
514×associate-/r*
366×associate-*r/
178×associate-*l/
86×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0311125
1801125
22301125
36871125
410691125
511191125
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))

localize152.0ms (1.1%)

Memory
12.4MiB live, 254.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.0%
(*.f32 x (PI.f32))
✓accuracy98.9%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.4%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.4%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.9%
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
✓accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
✓accuracy98.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
✓accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
✓accuracy98.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Samples
105.0ms256×0valid
Compiler

Compiled 272 to 27 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-div: 57.0ms (62.2% of total)
ival-mult: 19.0ms (20.7% of total)
ival-sin: 13.0ms (14.2% of total)
ival-pi: 2.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series128.0ms (0.9%)

Memory
5.1MiB live, 156.7MiB allocated
Counts
19 → 400
Calls
Call 1
Inputs
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))>
#<alt (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.f32 x (*.f32 (PI.f32) tau))>
#<alt (*.f32 (PI.f32) tau)>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (*.f32 (*.f32 x (PI.f32)) tau)>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))>
#<alt (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))>
#<alt (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))>
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#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
Calls

105 calls:

TimeVariablePointExpression
62.0ms
x
@0
(/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau)))))
4.0ms
tau
@-inf
(/ (sin (* (PI) (* x tau))) (* (PI) (* x tau)))
4.0ms
tau
@inf
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
4.0ms
tau
@0
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
3.0ms
x
@0
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))

rewrite533.0ms (3.8%)

Memory
23.3MiB live, 775.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 244×log1p-expm1-u
494×associate-*r*
432×times-frac
320×associate-*l*
232×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031847
1595759
25927759
Stop Event
1×node limit
Counts
19 → 836
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 (PI.f32) (neg.f32 x)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (neg.f32 x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (neg.f32 x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (PI.f32))
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(log1p.f32 (expm1.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(exp.f32 (log.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (PI.f32)))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 x (PI.f32))))
(exp.f32 (log.f32 (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)))

simplify970.0ms (6.9%)

Memory
-1.7MiB live, 1 227.7MiB allocated
Algorithm
1×egg-herbie
Rules
1 486×associate-/r*
1 114×associate-/l*
910×associate-*l/
858×associate-*r/
714×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091776034
1250371590
2735771590
Stop Event
1×node limit
Counts
1 236 → 472
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
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(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(exp.f32 (log.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (PI.f32)))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 x (PI.f32))))
(exp.f32 (log.f32 (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
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(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 3 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(*.f32 x (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))
(*.f32 x (PI.f32))
(pow.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 x (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))
(*.f32 x (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(fabs.f32 (*.f32 x (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 x (PI.f32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))
(*.f32 x (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))
(*.f32 x (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 x (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(*.f32 x (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 x (PI.f32))))
(*.f32 x (PI.f32))
(exp.f32 (log.f32 (*.f32 x (PI.f32))))
(*.f32 x (PI.f32))
(exp.f32 (*.f32 (log.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(*.f32 x (PI.f32))

eval142.0ms (1%)

Memory
-1.8MiB live, 186.8MiB allocated
Compiler

Compiled 22 228 to 2 419 computations (89.1% saved)

prune220.0ms (1.6%)

Memory
-5.8MiB live, 439.4MiB allocated
Pruning

40 alts after pruning (38 fresh and 2 done)

PrunedKeptTotal
New79438832
Fresh000
Picked224
Done000
Total79640836
Accuracy
99.8%
Counts
836 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) x) (PI.f32))
97.2%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) tau)
97.6%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x tau)) (PI.f32))
97.5%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (*.f32 x tau))
97.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.0%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (PI.f32))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
▶97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
97.2%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
63.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
▶97.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
96.3%
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32))
✓97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
97.5%
(*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.0%
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
63.7%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.0%
(*.f32 (sin.f32 (*.f32 x (pow.f32 (sqrt.f32 (*.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
96.0%
(*.f32 (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
70.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
96.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
82.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
✓97.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
96.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))))))
96.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
70.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
▶96.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
60.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
96.4%
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.1%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.0%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
▶95.5%
(*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.1%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
85.6%
(*.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
▶63.1%
#s(literal 1 binary32)
Compiler

Compiled 1 762 to 1 014 computations (42.5% saved)

simplify879.0ms (6.2%)

Memory
16.5MiB live, 254.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff6400
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
✓cost-diff6400
(sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
✓cost-diff6400
(*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff64
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
✓cost-diff64
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
✓cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
✓cost-diff0
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 (PI.f32) (*.f32 x tau))
✓cost-diff0
(/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
Rules
2 334×associate-/r/
2 230×associate-/r*
1 880×associate-*r*
1 692×associate-/l/
1 516×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0371431
11061431
23971395
316861395
428301395
530251395
630911395
732621395
832881395
932901395
1037481395
1140251395
1240981395
1340981395
1441791395
1542461395
1642461395
1742461395
1843331395
1943801395
2043881395
2143901395
2243901395
2367911395
2468631395
2568631395
2668631395
2769571395
2869571395
2969601395
3069601395
3169601395
3273411395
3373701395
3473701395
3579581395
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
#s(literal 1 binary32)
(/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
#s(literal 1 binary32)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
(*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(log.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
#s(literal 1 binary32)
(/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (*.f32 (PI.f32) x) (*.f32 tau (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (/.f32 (/.f32 x (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 (PI.f32) x)))))))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
#s(literal 1 binary32)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
(*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(log.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(log.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (PI.f32) tau)

localize211.0ms (1.5%)

Memory
14.9MiB live, 254.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
✓accuracy98.6%
(*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
✓accuracy97.1%
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.9%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
✓accuracy98.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
accuracy98.4%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Samples
140.0ms256×0valid
Compiler

Compiled 352 to 33 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-log: 41.0ms (36.5% of total)
ival-mult: 39.0ms (34.7% of total)
ival-div: 15.0ms (13.3% of total)
ival-sin: 13.0ms (11.6% of total)
ival-exp: 3.0ms (2.7% of total)
ival-pi: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

series531.0ms (3.8%)

Memory
-116.8MiB live, 283.7MiB allocated
Counts
15 → 336
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))>
#<alt (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (PI.f32)>
#<alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))>
#<alt (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))>
#<alt (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau)))))>
#<alt (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (log.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
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#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
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#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
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#<alt (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
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#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
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#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
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#<alt (*.f32 tau (*.f32 x (PI.f32)))>
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#<alt (*.f32 tau (*.f32 x (PI.f32)))>
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#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (+.f32 (log.f32 x) (log.f32 (*.f32 tau (PI.f32))))>
#<alt (+.f32 (log.f32 x) (log.f32 (*.f32 tau (PI.f32))))>
#<alt (+.f32 (log.f32 x) (log.f32 (*.f32 tau (PI.f32))))>
#<alt (+.f32 (log.f32 x) (log.f32 (*.f32 tau (PI.f32))))>
#<alt (+.f32 (log.f32 (*.f32 tau (PI.f32))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 tau (PI.f32))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 tau (PI.f32))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 tau (PI.f32))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 tau) (log.f32 (*.f32 x (PI.f32))))>
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#<alt (+.f32 (log.f32 tau) (log.f32 (*.f32 x (PI.f32))))>
#<alt (+.f32 (log.f32 tau) (log.f32 (*.f32 x (PI.f32))))>
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#<alt (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) tau))))>
#<alt (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) tau))))>
#<alt (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) tau))))>
#<alt (+.f32 (log.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) tau))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)>
#<alt (/.f32 (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) tau)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)>
#<alt (/.f32 (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) tau)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau)))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
Calls

84 calls:

TimeVariablePointExpression
300.0ms
tau
@-inf
(log (* (PI) (* x tau)))
105.0ms
tau
@0
(log (* (PI) (* x tau)))
53.0ms
x
@0
(log (* (PI) (* x tau)))
16.0ms
x
@-inf
(log (* (PI) (* x tau)))
7.0ms
x
@inf
(log (* (PI) (* x tau)))

rewrite327.0ms (2.3%)

Memory
-27.8MiB live, 371.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 068×times-frac
446×frac-times
286×cbrt-prod
281×log1p-expm1-u
281×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037815
1684779
Stop Event
1×node limit
Counts
15 → 653
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(log.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau)))
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(*.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (PI.f32))))
(pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) #s(literal 1 binary32)))

simplify661.0ms (4.7%)

Memory
27.1MiB live, 1 219.0MiB allocated
Algorithm
1×egg-herbie
Rules
1 484×fma-define
858×*-commutative
538×distribute-rgt-in
538×distribute-lft-in
406×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0140373372
1428172754
Stop Event
1×node limit
Counts
989 → 732
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
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#s(literal 1 binary32)
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(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (*.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (sqrt.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (cbrt.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (PI.f32) x))) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) x))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) x) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (PI.f32))))
(pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) #s(literal 1 binary32)))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 tau #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) tau))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (*.f32 tau (PI.f32))))))
(pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) #s(literal 3 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) #s(literal 2 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(pow.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))) #s(literal 3 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))

eval153.0ms (1.1%)

Memory
-1.9MiB live, 389.2MiB allocated
Compiler

Compiled 38 914 to 4 868 computations (87.5% saved)

prune325.0ms (2.3%)

Memory
1.8MiB live, 644.4MiB allocated
Pruning

49 alts after pruning (45 fresh and 4 done)

PrunedKeptTotal
New1 283311 314
Fresh191433
Picked235
Done112
Total1 305491 354
Accuracy
99.8%
Counts
1 354 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32))
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) x) (PI.f32))
▶97.2%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
97.5%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (*.f32 x tau))
▶97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
97.0%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
97.3%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
96.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (PI.f32))
96.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (PI.f32))))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
✓97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
81.2%
(/.f32 (*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
81.5%
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
63.8%
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
▶63.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
96.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (/.f32 tau (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
97.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
63.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
96.7%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
96.9%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32))) (*.f32 (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) x)))
96.9%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) x)) (*.f32 (/.f32 tau (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (PI.f32))))
63.8%
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
96.6%
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) tau))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))
63.7%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
63.7%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
96.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) (*.f32 x tau))))
70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
70.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
96.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
▶97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
✓97.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
96.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))))))
70.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
70.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
95.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
▶60.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
96.4%
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.0%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
✓95.5%
(*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
95.0%
(*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
97.1%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
85.6%
(*.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
✓63.1%
#s(literal 1 binary32)
Compiler

Compiled 2 140 to 1 222 computations (42.9% saved)

simplify43.0ms (0.3%)

Memory
-0.9MiB live, 77.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff6400
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
✓cost-diff6400
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))
✓cost-diff0
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)
✓cost-diff0
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
cost-diff0
(*.f32 (PI.f32) tau)
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))
✓cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
✓cost-diff0
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
Rules
686×times-frac
572×associate-/r*
350×associate-*r/
134×associate-/l*
122×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0341447
1711447
21981447
37171447
411601447
512131447
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
Outputs
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x))
(*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
(*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
(exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x))))))
(exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x))))
(exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x))
(*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
(*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))

localize133.0ms (0.9%)

Memory
-9.9MiB live, 387.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))
✓accuracy98.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
✓accuracy97.0%
(exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
✓accuracy62.4%
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
accuracy98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.7%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
✓accuracy98.7%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.9%
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))
✓accuracy98.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
accuracy100.0%
(PI.f32)
✓accuracy99.1%
(sin.f32 (*.f32 x (PI.f32)))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.4%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.6%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))
Samples
67.0ms256×0valid
Compiler

Compiled 354 to 30 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 18.0ms (37.2% of total)
ival-sin: 13.0ms (26.9% of total)
ival-div: 10.0ms (20.7% of total)
ival-exp: 3.0ms (6.2% of total)
ival-log: 3.0ms (6.2% of total)
ival-pi: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory
2.6MiB live, 122.5MiB allocated
Counts
13 → 292
Calls
Call 1
Inputs
#<alt (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))>
#<alt (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))>
#<alt (/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))>
#<alt (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))>
#<alt (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))>
#<alt (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))>
#<alt (*.f32 tau (+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))))>
#<alt (*.f32 tau (+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))>
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#<alt (+.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32)) (*.f32 tau (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) tau)))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (*.f32 tau (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) tau))) tau)))>
Calls

75 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/ (/ (* (/ (sin (* (PI) (* x tau))) (PI)) (sin (* (PI) x))) x) (* (PI) (* x tau)))
1.0ms
x
@-inf
(/ (sin (* (PI) x)) (* x (* (* (PI) tau) (* (PI) x))))
1.0ms
tau
@0
(* (/ (sin (* (PI) (* x tau))) (PI)) (sin (* (PI) x)))
1.0ms
x
@inf
(exp (/ (sin (* (PI) x)) (* x (* (* (PI) tau) (* (PI) x)))))
1.0ms
x
@0
(* (sin (* (PI) (* x tau))) (sin (* (PI) x)))

rewrite384.0ms (2.7%)

Memory
5.9MiB live, 608.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
652×times-frac
610×log1p-expm1-u
520×associate-*r*
384×associate-*l*
218×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033808
1586771
27281771
Stop Event
1×node limit
Counts
13 → 794
Calls
Call 1
Inputs
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
(exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))) (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)) (/.f32 (sqrt.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)) (*.f32 (sqrt.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) tau) (neg.f32 x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) (*.f32 x tau)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) tau))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) tau))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))
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simplify1.8s (12.6%)

Memory
4.7MiB live, 1 241.3MiB allocated
Algorithm
1×egg-herbie
Rules
1 350×fma-define
834×*-commutative
468×distribute-lft-in
464×distribute-rgt-in
402×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0127892171
1378291069
2747691069
Stop Event
1×node limit
Counts
1 086 → 703
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 tau (sin.f32 (*.f32 x (PI.f32))))
(*.f32 tau (+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))
(*.f32 tau (+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))))
(*.f32 tau (+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 8 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))))))))))))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(*.f32 tau (+.f32 (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))))
(*.f32 tau (+.f32 (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 x (PI.f32))
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#s(literal 1 binary32)
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(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 1 binary32))
(pow.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))) x))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(cbrt.f32 (pow.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(exp.f32 (log.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))) #s(literal 1 binary32))
(*.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))) (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
(pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 2 binary32)))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 tau #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) #s(literal -1/5040 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) x) (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (/.f32 (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 3 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(pow.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 3 binary32))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (pow.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (sqrt.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 2 binary32))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(sqrt.f32 (pow.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(log.f32 (pow.f32 (exp.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))) x))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(cbrt.f32 (pow.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(expm1.f32 (log1p.f32 (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(exp.f32 (log.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32)))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))) #s(literal 1 binary32))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))) (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))) #s(literal 3 binary32))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))) #s(literal 2 binary32))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 2 binary32)))
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(fabs.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(log.f32 (exp.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))))))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32))))) #s(literal 3 binary32)))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 x #s(literal 2 binary32)))))))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))

eval181.0ms (1.3%)

Memory
33.1MiB live, 340.5MiB allocated
Compiler

Compiled 43 777 to 5 330 computations (87.8% saved)

prune315.0ms (2.2%)

Memory
-10.6MiB live, 604.4MiB allocated
Pruning

58 alts after pruning (52 fresh and 6 done)

PrunedKeptTotal
New1 557271 584
Fresh152540
Picked235
Done134
Total1 575581 633
Accuracy
99.9%
Counts
1 633 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.0%
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
97.0%
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32))
97.1%
(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) (*.f32 (PI.f32) x)) tau)
68.5%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (fma.f32 (PI.f32) x (*.f32 (PI.f32) (*.f32 tau (neg.f32 x))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
▶68.6%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 x (*.f32 (PI.f32) tau))) x)
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) x) (PI.f32))
96.2%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
85.6%
(/.f32 (/.f32 (*.f32 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
✓97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))
97.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 x)))
81.5%
(/.f32 (/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
▶97.0%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
✓97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
64.0%
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
63.0%
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
▶63.0%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
63.8%
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
✓63.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
96.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (/.f32 tau (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
97.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
63.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
96.7%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
96.9%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32))) (*.f32 (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) x)))
96.9%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) x)) (*.f32 (/.f32 tau (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (PI.f32))))
63.8%
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
96.6%
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32))
64.0%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
55.3%
(*.f32 (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
97.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) x))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) tau))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
63.8%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
▶97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
63.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
63.8%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
63.7%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
63.7%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
▶70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
70.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
96.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
✓97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
✓97.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
96.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))))))
70.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
70.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
95.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
96.3%
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
97.0%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
63.8%
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
97.1%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
85.6%
(*.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
58.3%
(*.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
✓63.1%
#s(literal 1 binary32)
Compiler

Compiled 2 343 to 1 400 computations (40.2% saved)

simplify129.0ms (0.9%)

Memory
0.9MiB live, 80.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (PI.f32) tau)
✓cost-diff0
(-.f32 (*.f32 (PI.f32) tau) (PI.f32))
✓cost-diff0
(*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))
✓cost-diff0
(cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))
cost-diff0
(*.f32 (PI.f32) (*.f32 x tau))
cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
✓cost-diff0
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
cost-diff0
(*.f32 (PI.f32) tau)
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff64
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(*.f32 tau (*.f32 x (PI.f32)))
✓cost-diff320
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
Rules
1 258×div-sub
956×associate-/l*
856×distribute-rgt-neg-in
850×distribute-lft-neg-in
796×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0451522
11261430
24781416
316221416
431231416
549301416
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32))
(/.f32 #s(literal 1 binary32) (*.f32 x tau))
#s(literal 1 binary32)
(*.f32 x tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau))
(*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x)
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))
x
(-.f32 (*.f32 (PI.f32) tau) (PI.f32))
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(+.f32 (*.f32 (PI.f32) tau) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (*.f32 x tau))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau)))
#s(literal 1 binary32)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 x tau))
(/.f32 (/.f32 #s(literal 1 binary32) x) tau)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (*.f32 x tau))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau))
(*.f32 x (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x tau)))
(*.f32 x (*.f32 (*.f32 x tau) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 x (*.f32 (PI.f32) (/.f32 (*.f32 x tau) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (PI.f32) (/.f32 (*.f32 x (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x))
(/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 tau (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x (*.f32 x tau)))))
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x)
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))
(*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))
(*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))
x
(-.f32 (*.f32 (PI.f32) tau) (PI.f32))
(fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))
(*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))
(+.f32 (*.f32 (PI.f32) tau) (PI.f32))
(fma.f32 (PI.f32) tau (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)

localize151.0ms (1.1%)

Memory
-26.3MiB live, 287.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.7%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.0%
(-.f32 (*.f32 (PI.f32) tau) (PI.f32))
✓accuracy69.7%
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
accuracy98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.8%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
accuracy98.7%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
accuracy99.0%
(*.f32 (PI.f32) tau)
accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.8%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32))
✓accuracy98.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
accuracy100.0%
(PI.f32)
✓accuracy99.2%
(*.f32 tau (*.f32 x (PI.f32)))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy99.0%
(*.f32 (PI.f32) tau)
accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.4%
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
Samples
85.0ms256×0valid
Compiler

Compiled 371 to 41 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 20.0ms (29.6% of total)
ival-mult: 20.0ms (29.6% of total)
ival-sin: 15.0ms (22.2% of total)
ival-cos: 8.0ms (11.8% of total)
ival-sub: 2.0ms (3% of total)
ival-pi: 1.0ms (1.5% of total)
ival-add: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory
23.1MiB live, 64.1MiB allocated
Counts
13 → 264
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))>
#<alt (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))>
#<alt (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))>
#<alt (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))>
#<alt (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))>
#<alt (-.f32 (*.f32 (PI.f32) tau) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32))>
#<alt (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32)))))>
#<alt (/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
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#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) (pow.f32 (+.f32 (PI.f32) (*.f32 tau (PI.f32))) #s(literal 2 binary32)))) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/24 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 #s(literal 1/24 binary32) (/.f32 (pow.f32 (+.f32 (PI.f32) (*.f32 tau (PI.f32))) #s(literal 4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) (pow.f32 (+.f32 (PI.f32) (*.f32 tau (PI.f32))) #s(literal 2 binary32)))) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) (pow.f32 (+.f32 (PI.f32) (*.f32 tau (PI.f32))) #s(literal 2 binary32)))) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/720 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 6 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 #s(literal -1/720 binary32) (/.f32 (pow.f32 (+.f32 (PI.f32) (*.f32 tau (PI.f32))) #s(literal 6 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 #s(literal 1/24 binary32) (/.f32 (pow.f32 (+.f32 (PI.f32) (*.f32 tau (PI.f32))) #s(literal 4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) (pow.f32 (+.f32 (PI.f32) (*.f32 tau (PI.f32))) #s(literal 2 binary32)))) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 #s(literal 1/24 binary32) (/.f32 (pow.f32 (+.f32 (PI.f32) (*.f32 tau (PI.f32))) #s(literal 4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/40320 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 8 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 #s(literal 1/40320 binary32) (/.f32 (pow.f32 (+.f32 (PI.f32) (*.f32 tau (PI.f32))) #s(literal 8 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal -1/720 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 6 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 #s(literal -1/720 binary32) (/.f32 (pow.f32 (+.f32 (PI.f32) (*.f32 tau (PI.f32))) #s(literal 6 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))))))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 tau (-.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))) tau)>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 tau (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 tau (-.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))))) tau)>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 tau (+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 tau (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 tau (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))))))))) (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 x (PI.f32))))))))))) tau)>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 tau (PI.f32)))))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
Calls

72 calls:

TimeVariablePointExpression
12.0ms
tau
@0
(- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI)))))
2.0ms
x
@0
(/ (/ (/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (PI) 2)) x) (* (PI) (* x tau)))
2.0ms
tau
@-inf
(/ (/ (/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (PI) 2)) x) (* (PI) (* x tau)))
2.0ms
tau
@inf
(/ (/ (/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (PI) 2)) x) (* (PI) (* x tau)))
2.0ms
x
@-inf
(/ (/ (/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (PI) 2)) x) (* (PI) (* x tau)))

rewrite161.0ms (1.1%)

Memory
-13.7MiB live, 146.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
360×log1p-expm1-u
360×expm1-log1p-u
358×add-cube-cbrt
355×add-exp-log
355×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045673
1925627
Stop Event
1×node limit
Counts
13 → 242
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(-.f32 (*.f32 (PI.f32) tau) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32))
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(exp.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
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(fma.f32 (sqrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (sqrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (neg.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)))
(*.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))) (sqrt.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(pow.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)))))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(exp.f32 (log.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))) #s(literal 1 binary32)))

simplify241.0ms (1.7%)

Memory
8.5MiB live, 478.0MiB allocated
Algorithm
1×egg-herbie
Rules
1 476×associate-*r*
1 216×associate-*l*
1 048×fma-define
734×times-frac
458×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083831419
1221929937
Stop Event
1×node limit
Counts
506 → 440
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
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(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) #s(literal 2 binary32)) (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (neg.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1 binary32))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) #s(literal 2 binary32)) (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (neg.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (sqrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (sqrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (neg.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (sqrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (neg.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))
(*.f32 #s(literal -2 binary32) (*.f32 (sin.f32 (/.f32 (-.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32))) (sin.f32 (/.f32 (fma.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(*.f32 (sqrt.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (sqrt.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) #s(literal 2 binary32)) (+.f32 (pow.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)) (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))))
(pow.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal 2 binary32))
(log.f32 (exp.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))))
(cbrt.f32 (pow.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(log1p.f32 (expm1.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(exp.f32 (log.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (neg.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))
(fma.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) #s(literal 2 binary32)) (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (neg.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))
(fma.f32 (sqrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (sqrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (neg.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)))
(*.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))) (sqrt.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(pow.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)))))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(exp.f32 (log.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))) #s(literal 1 binary32)))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
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(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 2 binary32)))))))) #s(literal 1 binary32))
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(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) tau)) #s(literal 2 binary32)))
(pow.f32 (sqrt.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) tau)) #s(literal 2 binary32)))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) tau)) #s(literal 2 binary32)) (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))))
(log.f32 (exp.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) tau)) #s(literal 2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) tau)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 3 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) tau)) #s(literal 2 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 3 binary32))) (pow.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32))) (pow.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) tau)) #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) tau)) #s(literal 2 binary32)))
(exp.f32 (log.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) tau)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))) #s(literal 1 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) tau)) #s(literal 2 binary32)))

eval150.0ms (1.1%)

Memory
11.3MiB live, 396.3MiB allocated
Compiler

Compiled 35 760 to 5 091 computations (85.8% saved)

prune235.0ms (1.7%)

Memory
-9.3MiB live, 712.3MiB allocated
Pruning

67 alts after pruning (58 fresh and 9 done)

PrunedKeptTotal
New1 199221 221
Fresh113647
Picked235
Done066
Total1 212671 279
Accuracy
99.9%
Counts
1 279 → 67
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.0%
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
97.0%
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32))
62.3%
(/.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
97.1%
(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) (*.f32 (PI.f32) x)) tau)
68.5%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (fma.f32 (PI.f32) x (*.f32 (PI.f32) (*.f32 tau (neg.f32 x))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
68.5%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
68.5%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
✓68.6%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
64.3%
(/.f32 (/.f32 (/.f32 (+.f32 (fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (neg.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 x (*.f32 (PI.f32) tau))) x)
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) x) (PI.f32))
96.2%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
85.6%
(/.f32 (/.f32 (*.f32 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
✓97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
97.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 x)))
81.5%
(/.f32 (/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
✓97.0%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
70.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
96.8%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
96.8%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
55.9%
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
✓97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
70.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (PI.f32))
64.0%
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
63.0%
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
63.0%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
56.2%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
70.8%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
✓63.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
96.7%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (/.f32 tau (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
97.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
70.8%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
63.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
96.7%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
96.9%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32))) (*.f32 (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) x)))
63.8%
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
96.7%
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (*.f32 x tau) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32))))) #s(literal 1 binary32))
64.0%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) tau))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
63.8%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
96.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
63.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
63.8%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
62.9%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
63.7%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
✓70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
70.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
96.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
✓97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
✓97.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
96.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))))))
70.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
70.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
95.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
70.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
70.5%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
97.0%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
97.1%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
85.6%
(*.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
58.3%
(*.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
✓63.1%
#s(literal 1 binary32)
Compiler

Compiled 3 983 to 1 276 computations (68% saved)

regimes151.0ms (1.1%)

Memory
29.3MiB live, 428.0MiB allocated
Counts
122 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (PI.f32))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) tau)
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) x) (PI.f32))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 x (*.f32 (PI.f32) tau))) x)
(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) (*.f32 (PI.f32) x)) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) (*.f32 x tau))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) x))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) x)) (*.f32 (/.f32 tau (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32))) (*.f32 (/.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) x)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (/.f32 tau (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 x)))
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (PI.f32))))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (pow.f32 (sqrt.f32 (*.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 x tau)))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (*.f32 x tau) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (fma.f32 (PI.f32) x (*.f32 (PI.f32) (*.f32 tau (neg.f32 x))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(*.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
(*.f32 (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
(*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))))
(/.f32 (/.f32 (/.f32 (+.f32 (fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (neg.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))))) (*.f32 (PI.f32) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 x tau)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

44.0ms
x
34.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
33.0ms
(*.f32 x (PI.f32))
32.0ms
tau
Results
AccuracySegmentsBranch
97.8%1x
97.8%1tau
97.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes45.0ms (0.3%)

Memory
-6.8MiB live, 150.9MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (PI.f32))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
Calls

3 calls:

15.0ms
(*.f32 x (PI.f32))
13.0ms
tau
13.0ms
x
Results
AccuracySegmentsBranch
97.7%1x
97.7%1(*.f32 x (PI.f32))
97.7%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes42.0ms (0.3%)

Memory
17.6MiB live, 137.2MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (PI.f32))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))
Calls

3 calls:

13.0ms
(*.f32 x (PI.f32))
13.0ms
x
12.0ms
tau
Results
AccuracySegmentsBranch
97.6%1x
97.6%1(*.f32 x (PI.f32))
97.6%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes38.0ms (0.3%)

Memory
-2.0MiB live, 117.2MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (PI.f32))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
Calls

3 calls:

12.0ms
x
12.0ms
(*.f32 x (PI.f32))
11.0ms
tau
Results
AccuracySegmentsBranch
97.6%1x
97.6%1(*.f32 x (PI.f32))
97.6%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes35.0ms (0.3%)

Memory
7.7MiB live, 124.6MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (PI.f32))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Calls

3 calls:

11.0ms
(*.f32 x (PI.f32))
11.0ms
x
11.0ms
tau
Results
AccuracySegmentsBranch
97.4%1x
97.4%1(*.f32 x (PI.f32))
97.4%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes38.0ms (0.3%)

Memory
-8.0MiB live, 112.1MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (PI.f32))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
Outputs
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
Calls

3 calls:

10.0ms
x
10.0ms
tau
10.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.1%1x
97.1%1tau
97.1%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes34.0ms (0.2%)

Memory
-12.5MiB live, 107.0MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (PI.f32))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Outputs
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Calls

3 calls:

11.0ms
(*.f32 x (PI.f32))
10.0ms
x
10.0ms
tau
Results
AccuracySegmentsBranch
97.0%1x
97.0%1(*.f32 x (PI.f32))
97.0%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes31.0ms (0.2%)

Memory
21.7MiB live, 99.8MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (PI.f32))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
Calls

3 calls:

10.0ms
(*.f32 x (PI.f32))
9.0ms
tau
9.0ms
x
Results
AccuracySegmentsBranch
70.8%1x
70.8%1(*.f32 x (PI.f32))
70.8%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.2%)

Memory
-7.8MiB live, 73.0MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
Outputs
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
Calls

3 calls:

7.0ms
tau
7.0ms
(*.f32 x (PI.f32))
6.0ms
x
Results
AccuracySegmentsBranch
70.8%1x
70.8%1(*.f32 x (PI.f32))
70.8%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes15.0ms (0.1%)

Memory
-28.4MiB live, 50.1MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
Calls

3 calls:

5.0ms
tau
4.0ms
(*.f32 x (PI.f32))
4.0ms
x
Results
AccuracySegmentsBranch
63.9%1x
63.9%1(*.f32 x (PI.f32))
63.9%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory
38.4MiB live, 38.4MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
Outputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Calls

3 calls:

4.0ms
x
4.0ms
(*.f32 x (PI.f32))
3.0ms
tau
Results
AccuracySegmentsBranch
63.9%1x
63.9%1(*.f32 x (PI.f32))
63.9%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Memory
-22.6MiB live, 18.1MiB allocated
Accuracy

Total -0.1b remaining (-1%)

Threshold costs -0.1b (-1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
Outputs
#s(literal 1 binary32)
Calls

2 calls:

2.0ms
x
2.0ms
tau
Results
AccuracySegmentsBranch
63.1%1x
63.1%1tau
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0%)

Memory
21.3MiB live, 21.3MiB allocated
Algorithm
1×egg-herbie
Rules
32×*-commutative
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047804
171804
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
#s(literal 1 binary32)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
#s(literal 1 binary32)

soundness2.1s (14.9%)

Memory
21.1MiB live, 2 968.7MiB allocated
Rules
1 984×fma-define
1 486×associate-/r*
1 484×fma-define
1 244×log1p-expm1-u
1 114×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038663
1112663
2494631
32565631
45282631
57342631
091776034
1250371590
2735771590
033808
1586771
27281771
031847
1595759
25927759
045673
1925627
0140373372
1428172754
037815
1684779
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 2 002 to 415 computations (79.3% saved)

preprocess60.0ms (0.4%)

Memory
34.6MiB live, 151.4MiB allocated
Remove

(abs tau)

(abs x)

Compiler

Compiled 1 446 to 574 computations (60.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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