Lanczos kernel

Time bar (total: 13.5s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-pi: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)

sample2.3s (17.1%)

Results
1.8s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-sin: 648.0ms (41.1% of total)
ival-mult: 449.0ms (28.5% of total)
ival-<=: 200.0ms (12.7% of total)
ival-div: 196.0ms (12.4% of total)
ival-pi: 40.0ms (2.5% of total)
ival-and: 25.0ms (1.6% of total)
const: 15.0ms (1% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess117.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1984×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)

explain139.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
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-(sin.f32 (*.f32 x (PI.f32)))
00-0-(*.f32 x (PI.f32))
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(PI.f32)
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
Results
93.0ms512×0valid
Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-sin: 15.0ms (36.2% of total)
ival-div: 12.0ms (29% of total)
ival-mult: 11.0ms (26.6% of total)
ival-pi: 2.0ms (4.8% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 65 to 21 computations (67.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.2%
(*.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))))
▶98.1%
(*.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))))
▶97.8%
(*.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)

localize214.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 32 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))))))
✓accuracy99.0%
(*.f32 x (PI.f32))
✓accuracy98.9%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.6%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.6%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy99.0%
(*.f32 x (PI.f32))
✓accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.8%
(*.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)))))
✓accuracy99.0%
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.8%
(*.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))))))
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)))
Results
128.0ms256×0valid
Compiler

Compiled 273 to 26 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-sin: 57.0ms (64.3% of total)
ival-mult: 22.0ms (24.8% of total)
ival-div: 8.0ms (9% of total)
ival-pi: 1.0ms (1.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series61.0ms (0.4%)

Counts
18 → 376
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 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))>
#<alt (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.f32 x (*.f32 x (*.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 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<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 x (*.f32 (PI.f32) tau))>
#<alt (*.f32 (PI.f32) tau)>
#<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 (/.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 (*.f32 x (PI.f32)) 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)))))>
#<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 (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 (*.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 x (PI.f32)))>
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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 (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 #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 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 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 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
Calls

99 calls:

TimeVariablePointExpression
7.0ms
tau
@inf
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
4.0ms
tau
@0
(/ (sin (* (PI) (* x tau))) (* (PI) (* x tau)))
3.0ms
x
@0
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
2.0ms
x
@0
(/ (sin (* (PI) (* x tau))) (* (PI) (* x tau)))
2.0ms
x
@-inf
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))

rewrite551.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
1244×log1p-expm1-u
494×associate-*r*
432×times-frac
320×associate-*l*
232×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031759
1595690
25926690
Stop Event
1×node limit
Counts
18 → 745
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))))))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.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)))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 x (PI.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)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(*.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 x (PI.f32)) tau)
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 (PI.f32) (/.f32 x (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 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (/.f32 x (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 (PI.f32) (/.f32 x (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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.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 x (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.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))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) tau))
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(/.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 (/.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))) (PI.f32))) (*.f32 (PI.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 (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 x (neg.f32 (PI.f32)))))
(/.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))) (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 x (neg.f32 (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 (/.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 (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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (neg.f32 (PI.f32))))
(/.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))) (PI.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 (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 x (neg.f32 (PI.f32))))
(/.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 x (neg.f32 (PI.f32))))
(/.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))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (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))) (*.f32 x (PI.f32)))) 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))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) x)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (*.f32 x (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32))))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) 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)))) tau) (*.f32 x (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 (PI.f32) tau)) x)
(/.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 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)))) #s(literal 1 binary32)) (*.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)))) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))) (cbrt.f32 (*.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)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(pow.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))
(pow.f32 (cbrt.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 3 binary32))
(pow.f32 (pow.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 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.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 2 binary32))
(sqrt.f32 (pow.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 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.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 (/.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)))))))
(cbrt.f32 (pow.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 3 binary32)))
(cbrt.f32 (*.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)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #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))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (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 (/.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))))
(expm1.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))))))
(log1p.f32 (expm1.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))))))
(exp.f32 (log.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))))))
(exp.f32 (*.f32 (log.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 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 tau #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 x #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)))

simplify955.0ms (7.1%)

Algorithm
1×egg-herbie
Rules
1358×associate-/r*
1280×associate-/l*
1006×*-commutative
756×cube-prod
666×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082566513
1221262843
2705162843
Stop Event
1×node limit
Counts
1121 → 412
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)))))))))))
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(expm1.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))))))
(log1p.f32 (expm1.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))))))
(exp.f32 (log.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))))))
(exp.f32 (*.f32 (log.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 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 tau #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 x #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))) #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)))))))))))
(+.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 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1/36 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 (pow.f32 tau #s(literal 2 binary32)) #s(literal -1/720 binary32)) (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -1/720 binary32))))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1/36 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 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.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 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.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 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.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 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.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 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.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 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.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 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.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 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(/.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 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (*.f32 x (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 (*.f32 x (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 (*.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))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1/120 binary32)))) (/.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))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 #s(literal 1/120 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))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 x #s(literal 5 binary32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (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 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.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 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.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 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
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(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (*.f32 (cbrt.f32 (*.f32 tau (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 (cbrt.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(pow.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 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(pow.f32 (cbrt.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 3 binary32))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(pow.f32 (pow.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 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(pow.f32 (sqrt.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 2 binary32))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(sqrt.f32 (pow.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 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.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)))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(cbrt.f32 (pow.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 3 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(cbrt.f32 (*.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)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(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))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (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))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(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))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(expm1.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))))))
(expm1.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 tau (*.f32 x (PI.f32)))))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))))
(log1p.f32 (expm1.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))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(exp.f32 (log.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))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(exp.f32 (*.f32 (log.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 tau (*.f32 x (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 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
(*.f32 tau (*.f32 x (PI.f32)))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))
(*.f32 tau (*.f32 x (PI.f32)))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 tau (*.f32 x (PI.f32)))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))
(*.f32 tau (*.f32 x (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 tau (*.f32 x (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 tau (*.f32 x (PI.f32)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(expm1.f32 (log1p.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 tau (*.f32 x (PI.f32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 tau (*.f32 x (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)))
(*.f32 tau (*.f32 x (PI.f32)))

eval118.0ms (0.9%)

Compiler

Compiled 19276 to 2167 computations (88.8% saved)

prune137.0ms (1%)

Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New69529724
Fresh000
Picked224
Done000
Total69731728
Accuracy
99.9%
Counts
728 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.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))
97.4%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) tau))
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x) (PI.f32))
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))))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) tau))
▶97.3%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
97.6%
(/.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)))
97.9%
(/.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)))
97.9%
(/.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)))
▶98.0%
(/.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)))
66.1%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
▶97.7%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
96.5%
(*.f32 (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (pow.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))))
✓98.2%
(*.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 (*.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))))
95.7%
(*.f32 (/.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.5%
(*.f32 (*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
66.0%
(*.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)))))
65.9%
(*.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))))))
▶96.4%
(*.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)))))
97.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (exp.f32 (log.f32 (*.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))))))
49.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (log.f32 (pow.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau))))))
97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (expm1.f32 (log1p.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
96.8%
(*.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 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.5%
(*.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))))
96.4%
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.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)))))))
▶65.2%
#s(literal 1 binary32)
Compiler

Compiled 1382 to 750 computations (45.7% saved)

localize434.0ms (3.2%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
✓cost-diff3328
(*.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)))))
✓cost-diff6432
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))
✓cost-diff6432
(*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))
✓cost-diff6432
(sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))
cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(*.f32 tau (*.f32 x (PI.f32)))
✓cost-diff0
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
✓cost-diff0
(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 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
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
✓accuracy98.9%
(sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))
✓accuracy98.8%
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
✓accuracy98.6%
(*.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)))))
✓accuracy97.8%
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))
✓accuracy98.9%
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
✓accuracy98.8%
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
✓accuracy98.6%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
✓accuracy98.2%
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
✓accuracy98.9%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
accuracy98.9%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
accuracy98.9%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.7%
(/.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)))
Rules
1250×associate-/r*
1122×times-frac
1102×associate-*r/
1044×associate-*r*
956×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0401212
11041146
23171146
312041146
427611146
528771146
628771146
737871146
843451146
943911146
1044061146
1144081146
1244081146
1347251146
1447951146
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.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 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))
x
(PI.f32)
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
#s(literal 1 binary32)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (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 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau))
(*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 x (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 tau (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.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)))))
(sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))
(*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))
x
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))
(cbrt.f32 (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(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))))
(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))
Outputs
(/.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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.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)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(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))
(*.f32 x tau)
tau
#s(literal 1 binary32)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.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 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau))
(*.f32 (PI.f32) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x tau)))
(*.f32 (PI.f32) (/.f32 (*.f32 x (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 x (*.f32 x (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) tau)))
(*.f32 x (*.f32 (*.f32 x tau) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 x (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 tau (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.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 (*.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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))
(*.f32 (PI.f32) tau)
(cbrt.f32 (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(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 (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))))
(*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
Results
117.0ms256×0valid
Compiler

Compiled 308 to 35 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 33.0ms (42.8% of total)
ival-sin: 16.0ms (20.7% of total)
ival-div: 14.0ms (18.1% of total)
ival-pow: 9.0ms (11.7% of total)
const: 3.0ms (3.9% of total)
ival-cbrt: 2.0ms (2.6% of total)
ival-pi: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series54.0ms (0.4%)

Counts
17 → 300
Calls
Call 1
Inputs
#<alt (/.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)))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))>
#<alt (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))>
#<alt (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))>
#<alt (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))>
#<alt (*.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)))))>
#<alt (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))>
#<alt (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (PI.f32)>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))>
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))))>
#<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 #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)))))))))>
#<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))))>
#<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 x)>
#<alt (*.f32 x (+.f32 tau (*.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 2 binary32)))))))>
#<alt (*.f32 x (+.f32 tau (*.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 2 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 4 binary32)))))))))>
#<alt (*.f32 x (+.f32 tau (*.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 2 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 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (*.f32 tau x)>
#<alt (*.f32 tau (+.f32 x (*.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 2 binary32)))))))>
#<alt (*.f32 tau (+.f32 x (*.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 2 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 4 binary32)))))))))>
#<alt (*.f32 tau (+.f32 x (*.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 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 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))>
#<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)))))>
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#<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 x (PI.f32))>
#<alt (*.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))))))>
#<alt (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))>
#<alt (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 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 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<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 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 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))))>
Calls

87 calls:

TimeVariablePointExpression
8.0ms
tau
@-inf
(* x (pow (cbrt (* (PI) tau)) 3))
4.0ms
tau
@-inf
(pow (cbrt (* (PI) tau)) 3)
2.0ms
tau
@-inf
(* (sin (* x (pow (cbrt (* (PI) tau)) 3))) (/ (sin (* x (PI))) (* (* x (* (PI) tau)) (* x (PI)))))
2.0ms
tau
@inf
(* tau (* x (PI)))
2.0ms
x
@inf
(/ (sin (* (PI) (* x tau))) (PI))

rewrite207.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
860×times-frac
280×cbrt-prod
273×log1p-expm1-u
273×expm1-log1p-u
270×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039693
1716693
Stop Event
1×node limit
Counts
17 → 400
Calls
Call 1
Inputs
(/.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)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))
(*.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 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(sin.f32 (*.f32 x (PI.f32)))
(PI.f32)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.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)))))) #s(literal 1 binary32))
(*.f32 (/.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))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (/.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 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x tau)))
(*.f32 #s(literal 1 binary32) (*.f32 (/.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)))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (/.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)))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (/.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))))))
(*.f32 (sqrt.f32 (*.f32 (/.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))))) (sqrt.f32 (*.f32 (/.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))))))
(*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 tau) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) tau))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.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))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) (*.f32 x tau)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 2 binary32)) (*.f32 x (PI.f32))) (/.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) tau))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.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))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
(exp.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))))
(pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 x (PI.f32))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 x (PI.f32)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)))

simplify424.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1248×associate-/l*
1220×associate-*r/
1172×fma-define
1006×associate-*l/
672×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108041085
1300240243
Stop Event
1×node limit
Counts
700 → 554
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 x)
(*.f32 x (+.f32 tau (*.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 2 binary32)))))))
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(*.f32 tau x)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(*.f32 tau (*.f32 x (PI.f32)))
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#s(literal 1 binary32)
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(log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.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 x (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (neg.f32 x) (PI.f32)))
(pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.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 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.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))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
(exp.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))))
(pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 x (PI.f32))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 x (PI.f32)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))) #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)))))))))))
(+.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 (*.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))) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.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 (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 #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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) tau)
(/.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 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) tau)
(/.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 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) tau)
(/.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 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) tau)
(/.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 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
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(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(expm1.f32 (log1p.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 tau (*.f32 x (PI.f32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 tau (*.f32 x (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)))
(*.f32 tau (*.f32 x (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
(*.f32 tau (*.f32 x (PI.f32)))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))
(*.f32 tau (*.f32 x (PI.f32)))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 tau (*.f32 x (PI.f32)))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))
(*.f32 tau (*.f32 x (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 tau (*.f32 x (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(expm1.f32 (log1p.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 tau (*.f32 x (PI.f32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 tau (*.f32 x (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)))
(*.f32 tau (*.f32 x (PI.f32)))

eval155.0ms (1.1%)

Compiler

Compiled 32588 to 4086 computations (87.5% saved)

prune338.0ms (2.5%)

Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1166201186
Fresh121224
Picked325
Done022
Total1181361217
Accuracy
100.0%
Counts
1217 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(/.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
97.4%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) tau))
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x) (PI.f32))
66.0%
(/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
97.7%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (*.f32 (PI.f32) (*.f32 x tau)))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) tau))
72.3%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (*.f32 x (PI.f32)))) (*.f32 x tau)))
95.9%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))))) (*.f32 x tau)))
97.6%
(/.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)))
96.9%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
95.5%
(/.f32 (/.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
80.5%
(/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
72.4%
(/.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau)))
▶97.9%
(/.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)))
▶96.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) (*.f32 x tau)))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
66.1%
(/.f32 (*.f32 x tau) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
65.9%
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
▶66.1%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
96.0%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
72.2%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (*.f32 x (PI.f32)))))
96.0%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))))))
97.6%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
▶97.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
97.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (PI.f32))) (*.f32 tau (*.f32 x (neg.f32 (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
✓98.2%
(*.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 (*.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))))
66.0%
(*.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)))))
✓96.4%
(*.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)))))
✓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))))))
49.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (log.f32 (pow.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau))))))
96.8%
(*.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 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.5%
(*.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))))
96.7%
(log.f32 (exp.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (*.f32 x tau))))
✓65.2%
#s(literal 1 binary32)
Compiler

Compiled 1541 to 858 computations (44.3% saved)

localize383.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
✓cost-diff6400
(expm1.f32 (log1p.f32 (PI.f32)))
✓cost-diff6400
(*.f32 (expm1.f32 (log1p.f32 (PI.f32))) (*.f32 x tau))
✓cost-diff6400
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) (*.f32 x 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-diff64
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
✓cost-diff64
(*.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))))
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓cost-diff0
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32))
✓cost-diff0
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
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))) (*.f32 x (PI.f32)))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff0
(/.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)))
accuracy98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) (*.f32 x tau)))
✓accuracy96.9%
(expm1.f32 (log1p.f32 (PI.f32)))
✓accuracy98.9%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.9%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
✓accuracy98.6%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau))
accuracy100.0%
(PI.f32)
accuracy99.3%
(sin.f32 (*.f32 x (PI.f32)))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy98.9%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.7%
(/.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)))
Rules
2564×fma-define
1364×sub-neg
1256×associate-/l/
790×associate-/r*
788×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0341271
11011271
23441271
313651271
423511271
539121271
654441271
778451271
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.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 x (PI.f32))
(sin.f32 (*.f32 x (PI.f32)))
(/.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 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32))
(/.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 (PI.f32) (*.f32 x tau))) (*.f32 x tau))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(*.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 (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 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(sin.f32 (*.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 (expm1.f32 (log1p.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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(*.f32 (expm1.f32 (log1p.f32 (PI.f32))) (*.f32 x tau))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (PI.f32))
Outputs
(/.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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(sin.f32 (*.f32 x (PI.f32)))
(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))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(/.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 (PI.f32) (*.f32 x tau))) (*.f32 x tau))
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 x tau))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x tau))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
tau
(*.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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(/.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 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))
(/.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 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
tau
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) 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) (*.f32 x tau))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
tau
(*.f32 (expm1.f32 (log1p.f32 (PI.f32))) (*.f32 x tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(expm1.f32 (log1p.f32 (PI.f32)))
(PI.f32)
(log1p.f32 (PI.f32))
Results
209.0ms256×0valid
Compiler

Compiled 321 to 29 computations (91% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
<compiled-spec>: 60.0ms (31.8% of total)
ival-sub: 51.0ms (27% of total)
ival-div: 35.0ms (18.5% of total)
ival-mult: 18.0ms (9.5% of total)
ival-sin: 16.0ms (8.5% of total)
ival-exp: 3.0ms (1.6% of total)
ival-log: 3.0ms (1.6% of total)
ival-add: 2.0ms (1.1% of total)
ival-pi: 1.0ms (0.5% of total)
const: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (0.3%)

Counts
14 → 268
Calls
Call 1
Inputs
#<alt (/.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)))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau))>
#<alt (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))>
#<alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (expm1.f32 (log1p.f32 (PI.f32)))>
#<alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) (*.f32 x tau)))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32))>
#<alt (*.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))))>
#<alt (*.f32 (expm1.f32 (log1p.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)))))>
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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 tau>
#<alt (+.f32 tau (*.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 2 binary32))))))>
#<alt (+.f32 tau (*.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 2 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 4 binary32))))))))>
#<alt (+.f32 tau (*.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 2 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 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt tau>
#<alt (*.f32 tau (+.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)))))))>
#<alt (*.f32 tau (+.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)))))))))>
#<alt (*.f32 tau (+.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))))))))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 #s(literal 1 binary32) (PI.f32))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.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 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))))) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<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 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 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 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
tau
@-inf
(* (/ (/ (sin (* x (PI))) (* x (PI))) (PI)) (/ (sin (* (PI) (* x tau))) (* x tau)))
1.0ms
tau
@0
(/ (sin (* (PI) (* x tau))) (* x tau))
1.0ms
x
@-inf
(/ (/ (sin (* x (PI))) (* x (PI))) (PI))
1.0ms
x
@-inf
(/ (sin (* (PI) (* x tau))) (* x tau))
1.0ms
tau
@-inf
(/ (sin (* (PI) (* x tau))) (* x tau))

rewrite505.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
948×times-frac
632×frac-times
540×associate-*r*
404×associate-*l*
225×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034702
1625692
Stop Event
1×node limit
Counts
14 → 833
Calls
Call 1
Inputs
(/.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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(expm1.f32 (log1p.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (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 (expm1.f32 (log1p.f32 (PI.f32))) (*.f32 x tau))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 tau (PI.f32))))))
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(neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x (neg.f32 tau)))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (neg.f32 x)))) (*.f32 x (*.f32 tau (PI.f32)))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x tau))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x tau)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x tau)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))))
(exp.f32 (log.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(exp.f32 (log.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 1 binary32)))

simplify799.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
1410×fma-define
1042×*-commutative
450×distribute-lft-in
446×distribute-rgt-in
440×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0151981376
1451880702
Stop Event
1×node limit
Counts
1101 → 853
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)))
(PI.f32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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x
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#s(literal 1 binary32)
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(*.f32 tau (*.f32 x (PI.f32)))
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(*.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)))))))))
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(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
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(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))))
#s(literal 1 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 (*.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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tau
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tau
(*.f32 tau (+.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)))))))
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(/.f32 #s(literal 1 binary32) (PI.f32))
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#s(literal 1 binary32)
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(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x)) (*.f32 (neg.f32 (PI.f32)) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 x tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 tau (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 tau (PI.f32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x (neg.f32 tau))) x))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 x (neg.f32 tau))) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 x (neg.f32 tau))) (PI.f32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) (*.f32 x (neg.f32 tau))) (PI.f32)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (neg.f32 x))))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (neg.f32 tau)))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 x (neg.f32 tau)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x tau)))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32))) (*.f32 x (neg.f32 tau)))
(pow.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))) #s(literal 2 binary32))
(pow.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x (neg.f32 tau)))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (neg.f32 x)))) (*.f32 x (*.f32 tau (PI.f32)))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x tau))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x tau)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x tau)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))))
(exp.f32 (log.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(exp.f32 (log.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (*.f32 tau (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) (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 -1/5040 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 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 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 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
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tau
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#s(literal 1 binary32)
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(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(pow.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))) #s(literal 3 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(pow.f32 (pow.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))) #s(literal 2 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(pow.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))))
(neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x (neg.f32 tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (neg.f32 x)))) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x tau))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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))))))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau)) #s(literal 3 binary32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x tau)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) #s(literal 3 binary32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (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 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x tau)) #s(literal 3 binary32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #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 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x tau)))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(exp.f32 (log.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x)) x) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.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 (exp.f32 (log1p.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 1 binary32))
(*.f32 x (*.f32 tau (PI.f32)))
(pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32))
(*.f32 x (*.f32 tau (PI.f32)))
(pow.f32 (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 x (*.f32 tau (PI.f32)))
(pow.f32 (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32))
(*.f32 x (*.f32 tau (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 x (*.f32 tau (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 x (*.f32 tau (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32)))
(*.f32 x (*.f32 tau (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(*.f32 x (*.f32 tau (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))))
(*.f32 x (*.f32 tau (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 x (*.f32 tau (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(*.f32 x (*.f32 tau (PI.f32)))
(expm1.f32 (log1p.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 x (*.f32 tau (PI.f32)))
(exp.f32 (log.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 x (*.f32 tau (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 1 binary32)))
(*.f32 x (*.f32 tau (PI.f32)))

eval290.0ms (2.1%)

Compiler

Compiled 52681 to 5528 computations (89.5% saved)

prune367.0ms (2.7%)

Pruning

50 alts after pruning (45 fresh and 5 done)

PrunedKeptTotal
New1897241921
Fresh62127
Picked325
Done134
Total1907501957
Accuracy
100.0%
Counts
1957 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.2%
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
97.1%
(/.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x) (PI.f32))
66.0%
(/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
97.7%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (*.f32 (PI.f32) (*.f32 x tau)))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) tau))
72.3%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (*.f32 x (PI.f32)))) (*.f32 x tau)))
95.9%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))))) (*.f32 x tau)))
97.1%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) (*.f32 x tau)))
▶97.3%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
97.6%
(/.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)))
95.5%
(/.f32 (/.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
80.5%
(/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
72.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
94.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))) (*.f32 x tau)))
96.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (*.f32 x tau)))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
97.3%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)))
97.3%
(/.f32 (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
97.3%
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
66.2%
(/.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)))
65.1%
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
66.1%
(/.f32 (*.f32 x tau) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
▶65.1%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
65.9%
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
▶98.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
✓66.1%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
72.2%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (*.f32 x (PI.f32)))))
96.0%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))))))
97.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
✓97.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
66.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (PI.f32))
65.9%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
✓98.2%
(*.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))))
72.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
72.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))
66.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
72.4%
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
66.0%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
▶66.0%
(*.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)))))
✓96.4%
(*.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)))))
49.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (log.f32 (pow.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau))))))
96.8%
(*.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 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
66.0%
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 (PI.f32)))))
▶97.5%
(*.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))))
96.7%
(log.f32 (exp.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (*.f32 x tau))))
✓65.2%
#s(literal 1 binary32)
Compiler

Compiled 2039 to 1188 computations (41.7% saved)

localize812.0ms (6%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
✓cost-diff6400
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
✓cost-diff6400
(*.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))))
✓cost-diff0
(*.f32 x (*.f32 tau (PI.f32)))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x)
✓cost-diff0
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 x (PI.f32))
cost-diff0
(*.f32 tau (*.f32 x (PI.f32)))
✓cost-diff384
(*.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)))))
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
(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 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
accuracy98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy98.6%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.3%
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
✓accuracy98.9%
(/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))
✓accuracy98.9%
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
✓accuracy98.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
accuracy99.0%
(*.f32 (PI.f32) tau)
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.8%
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
✓accuracy98.5%
(*.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)))))
accuracy100.0%
(PI.f32)
accuracy99.2%
(*.f32 tau (*.f32 x (PI.f32)))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.9%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy99.0%
(*.f32 tau (PI.f32))
✓accuracy98.9%
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
✓accuracy98.8%
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
Rules
3348×associate-/l/
2884×*-commutative
2174×associate-/r/
896×times-frac
706×swap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0401493
11111355
24741343
323461343
428001343
539941343
642921343
743701343
843711343
943711343
1046761343
1147131343
1247131343
1365501343
1475721343
1576851343
1679561343
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 x (*.f32 tau (PI.f32)))
(*.f32 tau (PI.f32))
tau
(/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(/.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 (*.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 tau (*.f32 x (PI.f32)))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(/.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 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x)
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(*.f32 x (*.f32 tau (PI.f32)))
x
(*.f32 tau (PI.f32))
tau
(PI.f32)
(*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau)
(*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) x))
(*.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))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.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))
Outputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) x)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (PI.f32) (*.f32 tau (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 x (/.f32 (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 x (*.f32 tau (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 tau (PI.f32))
(*.f32 (PI.f32) tau)
tau
(/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) (*.f32 x tau)))
#s(literal 1 binary32)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) 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 (*.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 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
tau
(*.f32 x (PI.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 (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) x)))
(*.f32 x (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (PI.f32) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) x)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 tau (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 tau (PI.f32))
(*.f32 (PI.f32) tau)
tau
(PI.f32)
(*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau)
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 x (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 x (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 x (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (PI.f32) (sin.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 (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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) x)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.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) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(exp.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)))
(/.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)))
(*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
Results
388.0ms256×0valid
Compiler

Compiled 353 to 35 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 334.0ms
ival-mult: 296.0ms (88.6% of total)
ival-sin: 16.0ms (4.8% of total)
ival-div: 14.0ms (4.2% of total)
ival-exp: 3.0ms (0.9% of total)
ival-log: 3.0ms (0.9% of total)
ival-pi: 1.0ms (0.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.3%)

Counts
14 → 288
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))>
#<alt (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))>
#<alt (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.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)))))>
#<alt (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))>
#<alt (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))>
#<alt (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))>
#<alt (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))>
#<alt (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x)>
#<alt (*.f32 x (*.f32 tau (PI.f32)))>
#<alt (*.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))))>
#<alt (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.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)))))>
#<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 x (PI.f32))>
#<alt (*.f32 x (+.f32 (PI.f32) (*.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 3 binary32)))))))>
#<alt (*.f32 x (+.f32 (PI.f32) (*.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 -1/36 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))>
#<alt (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.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 -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (*.f32 x (PI.f32))>
#<alt (+.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)))>
#<alt (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
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#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))) x)))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))) x))) x)))>
#<alt (exp.f32 #s(literal 1 binary32))>
#<alt (+.f32 (exp.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)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (exp.f32 #s(literal 1 binary32)))))))>
#<alt (+.f32 (exp.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)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (exp.f32 #s(literal 1 binary32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal 1/72 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))>
#<alt (+.f32 (exp.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)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (exp.f32 #s(literal 1 binary32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal 1/72 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/1296 binary32) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))) tau)))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (*.f32 tau (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))) tau))) tau)))>
Calls

75 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ (sin (* x (* tau (PI)))) x)
2.0ms
tau
@inf
(* (* x (* tau (PI))) (/ (* x (PI)) (sin (* x (* tau (PI))))))
1.0ms
tau
@0
(* (* x (* tau (PI))) (/ (* x (PI)) (sin (* x (* tau (PI))))))
1.0ms
x
@0
(* (* x (* tau (PI))) (/ (* x (PI)) (sin (* x (* tau (PI))))))
1.0ms
tau
@-inf
(* (* x (* tau (PI))) (/ (* x (PI)) (sin (* x (* tau (PI))))))

rewrite150.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1110×times-frac
338×frac-times
294×cbrt-prod
282×log1p-expm1-u
282×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040730
1792632
Stop Event
1×node limit
Counts
14 → 361
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(*.f32 tau (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 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
(/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x)
(*.f32 x (*.f32 tau (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 x (PI.f32))) (*.f32 x (PI.f32))))
(exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))))
(*.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 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) 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 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.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)))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
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(log1p.f32 (expm1.f32 (*.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))))))
(exp.f32 (log.f32 (*.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))))))
(exp.f32 (*.f32 (log.f32 (*.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))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))

simplify379.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1528×fma-define
1138×associate-*r/
768×*-commutative
590×distribute-rgt-in
590×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0123341689
1348840321
Stop Event
1×node limit
Counts
649 → 653
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 x (PI.f32))
(*.f32 x (+.f32 (PI.f32) (*.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 3 binary32)))))))
(*.f32 x (+.f32 (PI.f32) (*.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 -1/36 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))
(*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.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 -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 x (PI.f32))
(+.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 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))
(+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.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)))))))))
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(log.f32 (pow.f32 (pow.f32 (exp.f32 tau) (PI.f32)) x))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(cbrt.f32 (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 tau #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 x #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(log1p.f32 (expm1.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(exp.f32 (log.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.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)))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) 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 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) 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 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)) (*.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) 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 (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x tau) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x tau) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (PI.f32))))
(pow.f32 (*.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)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.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))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.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)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.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))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.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)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.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)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.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)))))))
(cbrt.f32 (pow.f32 (*.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)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) 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 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.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))))))
(log1p.f32 (expm1.f32 (*.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))))))
(exp.f32 (log.f32 (*.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))))))
(exp.f32 (*.f32 (log.f32 (*.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))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
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 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal -1/6 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))
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#s(literal 1 binary32)
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(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x tau) (PI.f32)))))))
(log1p.f32 (expm1.f32 (*.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 (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x tau) (PI.f32)))))
(exp.f32 (log.f32 (*.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 (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x tau) (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.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))))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x tau) (PI.f32)))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(pow.f32 (exp.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 3 binary32))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32)))) #s(literal 2 binary32)))
(fabs.f32 (exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x)))
(log.f32 (exp.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))))
(exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 tau (PI.f32))) x))

eval268.0ms (2%)

Compiler

Compiled 45060 to 5892 computations (86.9% saved)

prune541.0ms (4%)

Pruning

59 alts after pruning (50 fresh and 9 done)

PrunedKeptTotal
New1630181648
Fresh83240
Picked145
Done055
Total1639591698
Accuracy
100.0%
Counts
1698 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.2%
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
97.1%
(/.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
65.9%
(/.f32 (/.f32 (*.f32 (*.f32 x tau) (PI.f32)) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
66.0%
(/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
97.7%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (*.f32 (PI.f32) (*.f32 x tau)))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) tau))
72.3%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (*.f32 x (PI.f32)))) (*.f32 x tau)))
95.9%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))))) (*.f32 x tau)))
97.1%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) (*.f32 x tau)))
✓97.3%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
72.3%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 #s(literal 1 binary32) x))) tau))
72.3%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) tau))
96.6%
(/.f32 (/.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
96.7%
(/.f32 (/.f32 (sin.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
97.7%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)))
66.1%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
95.5%
(/.f32 (/.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
80.5%
(/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
72.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
94.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))) (*.f32 x tau)))
96.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (*.f32 x tau)))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
97.3%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)))
97.3%
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
66.2%
(/.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)))
65.1%
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
72.3%
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
56.6%
(/.f32 (*.f32 tau (-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
✓65.1%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
57.9%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
65.9%
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
56.7%
(/.f32 (*.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
96.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
96.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 tau (expm1.f32 (log1p.f32 (PI.f32))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
✓66.1%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
72.2%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (*.f32 x (PI.f32)))))
96.0%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))))))
57.8%
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau)))
66.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
66.0%
(/.f32 #s(literal 1 binary32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
97.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
✓97.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
65.9%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
✓98.2%
(*.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))))
72.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
72.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))
66.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
72.4%
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
66.0%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
65.1%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
✓66.0%
(*.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)))))
✓96.4%
(*.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)))))
49.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (log.f32 (pow.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau))))))
97.8%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x tau) (PI.f32)))))
✓97.5%
(*.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))))
96.7%
(log.f32 (exp.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (*.f32 x tau))))
✓65.2%
#s(literal 1 binary32)
Compiler

Compiled 3089 to 1042 computations (66.3% saved)

regimes139.0ms (1%)

Counts
95 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.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 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 (/.f32 (sin.f32 (*.f32 x (PI.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 x (/.f32 (PI.f32) (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 x (neg.f32 (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (PI.f32))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) tau))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(/.f32 (*.f32 x tau) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 #s(literal 1 binary32) x))) tau))
(*.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 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 x (PI.f32)) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.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))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (*.f32 x (PI.f32)))) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (*.f32 x tau) (PI.f32)) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 tau (-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 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 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x tau) (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 (/.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (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 (/.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 (/.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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)))
(/.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 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (*.f32 (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))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x) (PI.f32))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) 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 (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 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (PI.f32))) (*.f32 tau (*.f32 x (neg.f32 (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (pow.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(/.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))) (*.f32 x tau)))
(log.f32 (exp.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (*.f32 x tau))))
(*.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 (sin.f32 (*.f32 x (exp.f32 (log.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 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 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (exp.f32 (log.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 (PI.f32))) (*.f32 (*.f32 x (*.f32 tau (expm1.f32 (log1p.f32 (PI.f32))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
(*.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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))))
(*.f32 (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))))) (*.f32 x tau)))
(/.f32 (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (expm1.f32 (log1p.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.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)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (log.f32 (pow.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau))))))
(*.f32 (*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (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))))
Calls

4 calls:

50.0ms
(*.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
tau
25.0ms
(*.f32 x (PI.f32))
25.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
98.2%1tau
98.2%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))))
98.2%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes111.0ms (0.8%)

Counts
39 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.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 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 (/.f32 (sin.f32 (*.f32 x (PI.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 x (/.f32 (PI.f32) (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 x (neg.f32 (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (PI.f32))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) tau))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(/.f32 (*.f32 x tau) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 #s(literal 1 binary32) x))) tau))
(*.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 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 x (PI.f32)) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.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))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (*.f32 x (PI.f32)))) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (*.f32 x tau) (PI.f32)) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 tau (-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 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 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x tau) (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 (/.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))))
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

3 calls:

83.0ms
tau
13.0ms
(*.f32 x (PI.f32))
11.0ms
x
Results
AccuracySegmentsBranch
98.1%1x
98.1%1tau
98.1%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes38.0ms (0.3%)

Counts
38 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.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 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 (/.f32 (sin.f32 (*.f32 x (PI.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 x (/.f32 (PI.f32) (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 x (neg.f32 (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (PI.f32))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) tau))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(/.f32 (*.f32 x tau) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 #s(literal 1 binary32) x))) tau))
(*.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 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 x (PI.f32)) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.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))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (*.f32 x (PI.f32)))) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (*.f32 x tau) (PI.f32)) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 tau (-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 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 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x tau) (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)))))
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
(*.f32 x (PI.f32))
12.0ms
x
10.0ms
tau
Results
AccuracySegmentsBranch
97.8%1x
97.8%1tau
97.8%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes373.0ms (2.8%)

Counts
37 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.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 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 (/.f32 (sin.f32 (*.f32 x (PI.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 x (/.f32 (PI.f32) (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 x (neg.f32 (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (PI.f32))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) tau))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(/.f32 (*.f32 x tau) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 #s(literal 1 binary32) x))) tau))
(*.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 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 x (PI.f32)) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.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))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (*.f32 x (PI.f32)))) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (*.f32 (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (*.f32 x tau) (PI.f32)) x) (*.f32 (*.f32 (PI.f32) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 tau (-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 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 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x tau) (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 (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x tau) (PI.f32)))))
Calls

3 calls:

12.0ms
(*.f32 x (PI.f32))
10.0ms
x
10.0ms
tau
Results
AccuracySegmentsBranch
97.8%1x
97.8%1tau
97.8%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes32.0ms (0.2%)

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

3 calls:

11.0ms
tau
10.0ms
(*.f32 x (PI.f32))
10.0ms
x
Results
AccuracySegmentsBranch
72.4%1x
72.4%1tau
72.4%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes178.0ms (1.3%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.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 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 (/.f32 (sin.f32 (*.f32 x (PI.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 x (/.f32 (PI.f32) (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 x (neg.f32 (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (PI.f32))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) tau))
Outputs
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) tau))
Calls

3 calls:

167.0ms
tau
5.0ms
(*.f32 x (PI.f32))
5.0ms
x
Results
AccuracySegmentsBranch
72.3%1x
72.3%1tau
72.3%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes16.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.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 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 (/.f32 (sin.f32 (*.f32 x (PI.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 x (/.f32 (PI.f32) (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 x (neg.f32 (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (PI.f32))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
Calls

3 calls:

6.0ms
tau
5.0ms
(*.f32 x (PI.f32))
5.0ms
x
Results
AccuracySegmentsBranch
66.1%1tau
66.1%1x
66.1%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.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 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 (/.f32 (sin.f32 (*.f32 x (PI.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 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
Outputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Calls

3 calls:

4.0ms
(*.f32 x (PI.f32))
4.0ms
x
4.0ms
tau
Results
AccuracySegmentsBranch
66.1%1tau
66.1%1x
66.1%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.1b remaining (-0.9%)

Threshold costs -0.1b (-0.9%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.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 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
Outputs
#s(literal 1 binary32)
Calls

2 calls:

2.0ms
x
2.0ms
tau
Results
AccuracySegmentsBranch
65.2%1x
65.2%1tau
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Rules
28×*-commutative
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043537
163537
Stop Event
1×saturated
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 (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 (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x tau) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) 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 (*.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 (/.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))))
(*.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 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (PI.f32) 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)

soundness1.7s (12.9%)

Rules
1984×fma-define
1528×fma-define
1410×fma-define
1244×log1p-expm1-u
1138×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031759
1595690
25926690
0151981376
1451880702
039693
1716693
038663
1112663
2494631
32565631
45282631
57342631
034702
1625692
0123341689
1348840321
040730
1792632
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 1860 to 381 computations (79.5% saved)

preprocess71.0ms (0.5%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1136 to 444 computations (60.9% saved)

end0.0ms (0%)

Profiling

Loading profile data...