Lanczos kernel

Time bar (total: 13.2s)

analyze29.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 4.0ms (20.9% of total)
ival-sin: 4.0ms (20.9% of total)
...c/correct-round.rkt:121:19: 4.0ms (20.9% of total)
ival-<=: 3.0ms (15.7% of total)
ival-pi: 2.0ms (10.4% of total)
ival-div: 2.0ms (10.4% of total)
ival-and: 1.0ms (5.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.6s (19.9%)

Results
1.9s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-sin: 428.0ms (27.1% of total)
ival-mult: 376.0ms (23.8% of total)
ival-<=: 287.0ms (18.2% of total)
...c/correct-round.rkt:121:19: 197.0ms (12.5% of total)
ival-div: 156.0ms (9.9% of total)
ival-pi: 100.0ms (6.3% of total)
ival-and: 26.0ms (1.6% of total)
const: 9.0ms (0.6% of total)
backward-pass: 2.0ms (0.1% of total)
Bogosity

preprocess113.0ms (0.9%)

Algorithm
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
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 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (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 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (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)) 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 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (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))))
(*.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 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (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)))))
(*.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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (neg.f32 (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 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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (neg.f32 (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))))
(*.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))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)))
Symmetry

(abs x)

(abs tau)

explain122.0ms (0.9%)

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
67.0ms512×0valid
Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sin: 16.0ms (36.2% of total)
ival-mult: 12.0ms (27.1% of total)
ival-div: 10.0ms (22.6% of total)
ival-pi: 5.0ms (11.3% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 86 to 24 computations (72.1% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(*.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))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Compiler

Compiled 92 to 45 computations (51.1% saved)

simplify40.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 x (PI.f32)) tau)
cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
cost-diff0
(*.f32 (PI.f32) tau)
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
cost-diff0
(*.f32 (PI.f32) tau)
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Rules
708×times-frac
582×associate-/r*
398×associate-*r/
186×associate-*l/
100×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0291154
1711154
22181154
37511154
411971154
512831154
Stop Event
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 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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 x (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (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 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.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 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (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 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(/.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 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))))
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.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 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (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))))
(/.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 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (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 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))))
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.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 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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 x (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (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 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.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 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) 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 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x (PI.f32)) 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)))

localize140.0ms (1.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy98.9%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
accuracy98.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
accuracy98.9%
(*.f32 (PI.f32) tau)
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(sin.f32 (*.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 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
accuracy98.6%
(*.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))))))
Results
92.0ms256×0valid
Compiler

Compiled 280 to 24 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 24.0ms (52.7% of total)
ival-sin: 12.0ms (26.3% of total)
ival-div: 9.0ms (19.7% of total)
ival-pi: 1.0ms (2.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series76.0ms (0.6%)

Counts
15 → 284
Calls
Call 1
Inputs
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))>
#<alt (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.f32 x (*.f32 (PI.f32) tau))>
#<alt (*.f32 (PI.f32) tau)>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (*.f32 (*.f32 x (PI.f32)) tau)>
#<alt (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))>
#<alt (*.f32 x (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))>
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#<alt (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 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 (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 x>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
Calls

78 calls:

TimeVariablePointExpression
6.0ms
x
@0
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
5.0ms
tau
@-inf
(/ (sin (* x (* (PI) tau))) (* x (* x (* (PI) tau))))
4.0ms
tau
@-inf
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
4.0ms
tau
@inf
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
2.0ms
x
@-inf
(/ (sin (* x (PI))) (PI))

rewrite464.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
999×log1p-expm1-u
532×times-frac
506×associate-*r*
342×associate-*l*
324×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029678
1549620
26614620
Stop Event
node limit
Counts
15 → 795
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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 (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 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.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))))))) #s(literal 1 binary32))
(/.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) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))))
(/.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 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.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 (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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (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 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (*.f32 (neg.f32 (PI.f32)) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (*.f32 (neg.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (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 (neg.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau)) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
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(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 x (PI.f32))))
(exp.f32 (log.f32 (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(*.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)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (PI.f32))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (PI.f32)))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))

simplify811.0ms (6.2%)

Algorithm
egg-herbie
Rules
790×associate-*l/
764×associate-*r/
762×fma-define
586×associate-/l/
538×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100672733
1274069627
2630269627
Stop Event
node limit
Counts
1079 → 546
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)))))
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x
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#s(literal 1 binary32)
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(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (PI.f32))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (PI.f32)))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
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))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 tau #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) #s(literal -1/5040 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.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)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (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)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.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)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (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)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.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)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (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)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.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)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (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)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.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)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (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)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.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)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (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)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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x
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#s(literal 1 binary32)
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(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 3 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))

eval87.0ms (0.7%)

Compiler

Compiled 24862 to 2715 computations (89.1% saved)

prune164.0ms (1.2%)

Pruning

43 alts after pruning (42 fresh and 1 done)

PrunedKeptTotal
New87442916
Fresh000
Picked314
Done000
Total87743920
Accuracy
99.9%
Counts
920 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) x)
97.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
97.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau) (*.f32 x (PI.f32)))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
97.0%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32)))
97.4%
(/.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)
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
97.6%
(/.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)))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (neg.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau)))
97.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
64.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
96.5%
(-.f32 (exp.f32 (log1p.f32 (/.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))))))) #s(literal 1 binary32))
97.3%
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
96.4%
(*.f32 (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 x (PI.f32))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32)))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (pow.f32 (sqrt.f32 (*.f32 (PI.f32) tau)) #s(literal 2 binary32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
77.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
70.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
96.8%
(*.f32 (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
64.5%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.6%
(*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
92.1%
(*.f32 (*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
96.8%
(*.f32 (*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (sqrt.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sqrt.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
64.3%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)) (*.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))))))
97.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))
96.7%
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.0%
(*.f32 (sin.f32 (*.f32 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)))))
97.2%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
95.8%
(*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.2%
(*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.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))))
97.2%
(*.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))))
84.6%
(*.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
93.2%
(exp.f32 (log.f32 (/.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)))))))
63.9%
#s(literal 1 binary32)
Compiler

Compiled 2031 to 1140 computations (43.9% saved)

simplify114.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
cost-diff6400
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
cost-diff6400
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
cost-diff3232
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
cost-diff3232
(*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))
cost-diff3232
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))))
cost-diff3232
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (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))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff0
(/.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)
cost-diff6400
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
cost-diff6400
(sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))
cost-diff6400
(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
cost-diff6400
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
Rules
752×associate-/r*
716×distribute-lft-in
678×times-frac
656×associate-*r/
620×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0401417
11031417
22681397
38841337
415121337
517971337
634731337
742321337
866451337
Stop Event
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 (expm1.f32 (log1p.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 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(log1p.f32 (*.f32 x (PI.f32)))
#s(literal 1 binary32)
(/.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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.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)))
(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))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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 x (*.f32 x (*.f32 (PI.f32) tau)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.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 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) 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 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))
(sin.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)))
(sin.f32 (*.f32 x (PI.f32)))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(*.f32 x (PI.f32))
(log1p.f32 (*.f32 x (PI.f32)))
#s(literal 1 binary32)
(/.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.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 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.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))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))
(sin.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.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 (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) x)
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 x tau))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))
(*.f32 x (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x (*.f32 x tau)))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))
(sin.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)))
(*.f32 x (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.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 (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) x)
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 x tau))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (PI.f32) (*.f32 x (*.f32 x tau)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))
(sin.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)))
(*.f32 x (PI.f32))

localize206.0ms (1.6%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
accuracy98.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
accuracy78.6%
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
accuracy98.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
accuracy98.9%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Results
145.0ms256×0valid
Compiler

Compiled 346 to 35 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-div: 25.0ms (24.8% of total)
ival-sin: 22.0ms (21.8% of total)
ival-mult: 21.0ms (20.8% of total)
ival-log1p: 16.0ms (15.9% of total)
ival-expm1: 4.0ms (4% of total)
ival-log: 4.0ms (4% of total)
ival-pow: 4.0ms (4% of total)
ival-exp: 3.0ms (3% of total)
ival-pi: 1.0ms (1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.3%)

Counts
16 → 336
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))>
#<alt (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))>
#<alt (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))>
#<alt (/.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)>
#<alt (*.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))))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))))>
#<alt (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))>
#<alt (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))>
#<alt (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))>
#<alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (*.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)))))>
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#<alt (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<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 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

84 calls:

TimeVariablePointExpression
2.0ms
tau
@inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (- (exp (log (+ 1 (* x (PI))))) 1)) (* x (PI))))
1.0ms
tau
@0
(/ (sin (* (PI) (* x tau))) (* x (PI)))
1.0ms
tau
@0
(* (/ (sin (* x (* (PI) tau))) (* x (* x (* (PI) tau)))) (log (exp (/ (sin (* x (PI))) (PI)))))
1.0ms
x
@0
(* (/ (sin (* (PI) (* x tau))) (* x (PI))) (/ (sin (* x (PI))) (* x (PI))))
1.0ms
x
@-inf
(/ (sin (* (PI) (* x tau))) (* x (PI)))

rewrite269.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
568×associate-*r*
516×times-frac
408×frac-times
404×associate-*l*
258×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040745
1732684
Stop Event
node limit
Counts
16 → 985
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(/.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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.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)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))))
(*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (PI.f32) (*.f32 x tau))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (neg.f32 (*.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (neg.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 (PI.f32))) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (PI.f32))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) 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 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32)) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x (neg.f32 (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)) (*.f32 (*.f32 (neg.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)) (*.f32 (*.f32 x (neg.f32 (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) #s(literal 1 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (neg.f32 (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)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (neg.f32 (pow.f32 x #s(literal 2 binary32))) (*.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 (*.f32 x (neg.f32 (*.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 (*.f32 (neg.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau)) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (neg.f32 (*.f32 (PI.f32) tau))) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) (*.f32 (neg.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (neg.f32 (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
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(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32)))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (PI.f32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sqrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) tau))
(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 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 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))))

simplify1.2s (9.2%)

Algorithm
egg-herbie
Rules
1610×fma-define
966×*-commutative
476×distribute-rgt-neg-in
458×distribute-lft-neg-in
454×cube-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0155188336
1429585120
Stop Event
node limit
Counts
1321 → 881
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
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#s(literal 1 binary32)
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tau
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tau
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tau
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(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (cbrt.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) #s(literal 2 binary32)))) (cbrt.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 x (sqrt.f32 (*.f32 (PI.f32) tau)))) (*.f32 x (sqrt.f32 (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 tau #s(literal 2 binary32)))) (cbrt.f32 tau))
(pow.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (sqrt.f32 tau)) #s(literal 2 binary32))
(pow.f32 (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (neg.f32 tau)))
(neg.f32 (/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) tau))
(sqrt.f32 (pow.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau))))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) #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))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)))
(exp.f32 (log.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32)))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (PI.f32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sqrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) tau))
(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 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 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))))
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 (pow.f32 (*.f32 tau (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) (+.f32 (pow.f32 (*.f32 tau (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))
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tau
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(+.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #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 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))))))
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(*.f32 tau (+.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)))))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
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(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.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 (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 (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 (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 (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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
tau
(+.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))))))
(+.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 tau #s(literal 3 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)
(+.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))))))))
(+.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 x #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 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) tau)
(+.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)))))))))
(+.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 3 binary32))))) tau)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
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)))))))
(*.f32 tau (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 tau (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32)))
(*.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)))))))))
(*.f32 tau (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))))))))
(*.f32 tau (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))))) #s(literal 1 binary32)))
(*.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))))))))))
(*.f32 tau (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.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)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))))))))))
(*.f32 tau (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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.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 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 tau #s(literal 3 binary32))) (*.f32 tau (PI.f32))))
(*.f32 x (fma.f32 tau (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 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 (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 (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 tau #s(literal 5 binary32))))))))
(*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 tau #s(literal 5 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 (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))))))))))
(*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (pow.f32 tau #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 tau #s(literal 5 binary32))))))))))
(*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (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 -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)))) (*.f32 tau (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))))
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x
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
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(/.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 3 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 2 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 3 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sqrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 3 binary32))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(pow.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
(fabs.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(log.f32 (exp.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(exp.f32 (log.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 1 binary32))
(*.f32 tau (*.f32 x (PI.f32)))
(pow.f32 (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32))
(*.f32 tau (*.f32 x (PI.f32)))
(pow.f32 (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(sqrt.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 tau (*.f32 x (PI.f32))))
(pow.f32 (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 tau (*.f32 x (PI.f32)))
(pow.f32 (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))
(*.f32 tau (*.f32 x (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 x (*.f32 (PI.f32) 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 (pow.f32 (exp.f32 (PI.f32)) x) tau))
(*.f32 tau (*.f32 x (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 tau (*.f32 x (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 x (*.f32 (PI.f32) 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))))
(*.f32 tau (*.f32 x (PI.f32)))
(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))))
(*.f32 tau (*.f32 x (PI.f32)))
(expm1.f32 (log1p.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(expm1.f32 (log1p.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 tau (*.f32 x (PI.f32)))
(exp.f32 (log.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 tau (*.f32 x (PI.f32)))

eval193.0ms (1.5%)

Compiler

Compiled 40730 to 4635 computations (88.6% saved)

prune317.0ms (2.4%)

Pruning

50 alts after pruning (47 fresh and 3 done)

PrunedKeptTotal
New1397301427
Fresh201737
Picked325
Done011
Total1420501470
Accuracy
99.9%
Counts
1470 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) (PI.f32)) tau)
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))) tau)
96.3%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 x (PI.f32))))
97.5%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)) tau)
97.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau) (*.f32 x (PI.f32)))
97.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) x)
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
97.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
64.6%
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
97.3%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (PI.f32)))
96.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))) tau)
96.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 x (PI.f32)))) tau)
97.4%
(/.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)
97.6%
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
97.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
97.3%
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
64.6%
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
97.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
64.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
96.5%
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau))) #s(literal 1 binary32))
97.3%
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
77.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
71.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
82.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
70.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) x)
74.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))))
70.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
77.8%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 tau (PI.f32)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
96.8%
(*.f32 (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
77.9%
(*.f32 (/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
64.5%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.6%
(*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
64.3%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
97.4%
(*.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))))))
97.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))
96.7%
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.0%
(*.f32 (sin.f32 (*.f32 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)))))
95.8%
(*.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.2%
(*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.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))))
97.2%
(*.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))))
84.6%
(*.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
93.1%
(exp.f32 (log.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)))
63.9%
#s(literal 1 binary32)
Compiler

Compiled 2243 to 1263 computations (43.7% saved)

simplify296.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
cost-diff0
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x)
cost-diff6400
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
cost-diff6400
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)
cost-diff64
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
cost-diff64
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff64
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
cost-diff0
(*.f32 x (PI.f32))
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) 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
(*.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 x (*.f32 (PI.f32) tau))))
cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
Rules
1642×associate-*r/
806×associate-/l*
792×associate-*l/
664×associate-/r*
602×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0351411
1931405
23261405
311181405
422421405
524641405
624701405
724701405
830021405
931751405
1031801405
1131801405
1233131405
1333441405
1434381405
1534381405
1634381405
1734381405
Stop Event
saturated
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.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 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 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (PI.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 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
tau
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 #s(literal 1 binary32) (PI.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))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.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)
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.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 (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.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 tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (PI.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 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.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 (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.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 (*.f32 (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 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (PI.f32) tau)
tau
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.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 (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.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))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.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 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 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 #s(literal 1 binary32) (PI.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))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.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 (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x)
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(sin.f32 (*.f32 x (PI.f32)))

localize172.0ms (1.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.8%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
accuracy98.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
accuracy78.6%
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
accuracy98.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy98.9%
(*.f32 (PI.f32) tau)
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
accuracy98.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
accuracy100.0%
(PI.f32)
accuracy99.4%
(sin.f32 (*.f32 x (PI.f32)))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
accuracy98.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
accuracy98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
Results
98.0ms256×0valid
Compiler

Compiled 353 to 30 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 19.0ms (33.1% of total)
ival-div: 18.0ms (31.4% of total)
ival-sin: 12.0ms (20.9% of total)
ival-log: 4.0ms (7% of total)
ival-exp: 2.0ms (3.5% of total)
ival-pi: 1.0ms (1.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series79.0ms (0.6%)

Counts
13 → 252
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (PI.f32)>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)>
#<alt (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)>
#<alt (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))>
#<alt (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x)>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<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 (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 3 binary32)))) (*.f32 #s(literal -1/6 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) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 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 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #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) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 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 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 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 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 7 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 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (+.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 (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 (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 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.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)))))))))>
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#<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 #s(literal 1 binary32) x)>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) x))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (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 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (/.f32 #s(literal 1 binary32) x))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (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 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) (/.f32 #s(literal 1 binary32) x))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) x)>
#<alt (/.f32 (+.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)))))) x)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) x)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))) x)>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt #s(literal 1 binary32)>
#<alt (+.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 #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 #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 #s(literal 1 binary32)>
#<alt (+.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 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<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 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
Calls

69 calls:

TimeVariablePointExpression
31.0ms
x
@0
(* (* (/ (sin (* x (* (PI) tau))) x) (/ 1 (PI))) (/ (sin (* x (PI))) (* x (PI))))
7.0ms
x
@-inf
(* (/ (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) x) (log (exp (/ (sin (* x (PI))) (PI)))))
1.0ms
x
@-inf
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (* (PI) tau))))
1.0ms
x
@0
(/ (sin (* x (* (PI) tau))) x)
1.0ms
x
@0
(* (sin (* x (PI))) (/ (sin (* x (* (PI) tau))) (* x (PI))))

rewrite312.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1186×times-frac
644×frac-times
262×add-exp-log
262×add-log-exp
262×cbrt-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035777
1666750
Stop Event
node limit
Counts
13 → 463
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.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 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 x (PI.f32)))
(PI.f32)
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32)))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (PI.f32)))
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(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 1 binary32)))

simplify474.0ms (3.6%)

Algorithm
egg-herbie
Rules
1556×fma-define
806×*-commutative
530×distribute-rgt-in
530×distribute-lft-in
404×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0140055816
1403753474
Stop Event
node limit
Counts
715 → 772
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 (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 3 binary32)))) (*.f32 #s(literal -1/6 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 -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 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 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))))
(*.f32 x (+.f32 (PI.f32) (*.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 3 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 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 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 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 7 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 #s(literal -1/5040 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 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(+.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 (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 (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 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 x (PI.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 (+.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))))))))
(*.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)))))))))
#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))))
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(*.f32 tau (*.f32 x (PI.f32)))
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#s(literal 1 binary32)
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tau
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tau
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
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 tau (PI.f32))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)
(*.f32 tau (PI.f32))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
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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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#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)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (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 #s(literal 1 binary32) x)
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(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (*.f32 (*.f32 tau x) (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (*.f32 (*.f32 tau x) (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (*.f32 (*.f32 tau x) (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (*.f32 (*.f32 tau x) (PI.f32))))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (*.f32 (*.f32 tau x) (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (*.f32 (*.f32 tau x) (PI.f32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (cbrt.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sqrt.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) tau) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32)) tau) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32)) (*.f32 (PI.f32) tau)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32)) (*.f32 x (PI.f32))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) tau))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (sqrt.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32)) (*.f32 tau x)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) tau)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) x))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) tau))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (cbrt.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 tau x)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)))
(pow.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 tau x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 1 binary32)))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (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))
(+.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 (*.f32 tau (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)))) (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 (*.f32 tau (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)))) (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 (*.f32 tau (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)))) (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 (*.f32 tau (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)))) (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 (*.f32 tau (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)))) (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 (*.f32 tau (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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tau
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
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(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
tau
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(fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)
(+.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))))))))
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(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32))))) tau)
(+.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)))))))))
(+.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.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 (PI.f32) #s(literal 4 binary32)) (pow.f32 tau #s(literal 5 binary32)))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (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 -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 3 binary32))))) tau)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
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)))))))
(*.f32 tau (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 tau (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32)))
(*.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)))))))))
(*.f32 tau (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))))))))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 tau (PI.f32))
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(fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)
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(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32)) (*.f32 tau x)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (*.f32 x tau)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) x)
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) tau)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) x))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) x)
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) tau))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) tau) (/.f32 (sqrt.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (cbrt.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (cbrt.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (cbrt.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 tau x)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x tau)) (sqrt.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (PI.f32))
(pow.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 3 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 2 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(pow.f32 (/.f32 (*.f32 (*.f32 tau x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x tau) (/.f32 (PI.f32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 3 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))

eval388.0ms (3%)

Compiler

Compiled 51480 to 6168 computations (88% saved)

prune501.0ms (3.8%)

Pruning

57 alts after pruning (52 fresh and 5 done)

PrunedKeptTotal
New1843311874
Fresh212142
Picked235
Done123
Total1867571924
Accuracy
99.9%
Counts
1924 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.7%
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
97.6%
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) (PI.f32)) tau)
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))) tau)
97.2%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
97.5%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)) tau)
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
64.6%
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (PI.f32)))
96.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))) tau)
96.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 x (PI.f32)))) tau)
97.6%
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
96.9%
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
64.6%
(/.f32 (*.f32 (*.f32 (*.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
96.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
95.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
84.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
97.2%
(/.f32 (*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
97.4%
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
64.7%
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32)))
64.6%
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
63.6%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
64.4%
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
97.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)))
97.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
64.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
82.1%
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 x (PI.f32)))
82.0%
(/.f32 (log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 x (PI.f32)))
91.6%
(/.f32 (exp.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau)))
96.4%
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau))) #s(literal 1 binary32))
97.0%
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))) #s(literal 1 binary32))
77.8%
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) x) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
70.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) x)
64.5%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32))))
77.8%
(*.f32 (/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))) #s(literal 1 binary32)) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
71.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
82.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
70.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) x)
70.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)))
64.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau x)) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32))) (PI.f32)))
97.2%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (PI.f32)))
64.5%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.6%
(*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
64.3%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
97.4%
(*.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))))))
97.7%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
64.6%
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
97.2%
(*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.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))))
97.2%
(*.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))))
63.9%
#s(literal 1 binary32)
Compiler

Compiled 2380 to 1377 computations (42.1% saved)

simplify98.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff6400
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
cost-diff6400
(sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
cost-diff6400
(*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
cost-diff6400
(/.f32 (*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
cost-diff0
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32))))
cost-diff0
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.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-diff192
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))
cost-diff256
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.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 x (*.f32 (PI.f32) tau)))
cost-diff0
(*.f32 x (PI.f32))
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
Rules
1740×fma-define
1372×associate-/r/
860×div-sub
768×*-commutative
742×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0401395
11261303
25061303
319671303
428341303
534701303
646701303
Stop Event
node limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(log1p.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 (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.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 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
tau
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 tau (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
#s(literal 1 binary32)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (PI.f32) tau)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))
(*.f32 tau (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
#s(literal 1 binary32)
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 tau x)
(*.f32 x tau)
tau
x
(PI.f32)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.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 x (*.f32 (PI.f32) tau))))
(sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(log1p.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 (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (PI.f32) tau)

localize315.0ms (2.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
accuracy98.9%
(/.f32 (*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
accuracy98.9%
(sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.9%
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
accuracy98.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32))))
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
accuracy98.8%
(*.f32 (*.f32 tau x) (PI.f32))
accuracy99.2%
(*.f32 (*.f32 x (PI.f32)) tau)
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy99.2%
(*.f32 tau (*.f32 x (PI.f32)))
accuracy99.1%
(*.f32 x (*.f32 (PI.f32) tau))
accuracy98.9%
(*.f32 (PI.f32) tau)
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
accuracy98.9%
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
Results
253.0ms256×0valid
Compiler

Compiled 349 to 35 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-div: 85.0ms (60.8% of total)
ival-mult: 24.0ms (17.2% of total)
ival-sin: 23.0ms (16.5% of total)
ival-log1p: 4.0ms (2.9% of total)
ival-expm1: 3.0ms (2.1% of total)
ival-pi: 1.0ms (0.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series49.0ms (0.4%)

Counts
20 → 416
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))>
#<alt (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))>
#<alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)>
#<alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32))))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)>
#<alt (/.f32 (*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))>
#<alt (*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))>
#<alt (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))>
#<alt (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 (*.f32 x (PI.f32)) tau)>
#<alt (*.f32 (*.f32 tau x) (PI.f32))>
#<alt (*.f32 (PI.f32) (*.f32 x (PI.f32)))>
#<alt (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 x (PI.f32))>
#<alt (*.f32 x (+.f32 (PI.f32) (*.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 3 binary32)))) (*.f32 #s(literal -1/6 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) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 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 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #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) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 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 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 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 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 7 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 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (+.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 (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 (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 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt (+.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 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<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 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.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 #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 #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 #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 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
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#<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))))>
Calls

114 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (* (sin (* x (PI))) (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))) (* x (PI)))
1.0ms
x
@inf
(sin (- (exp (log (+ 1 (* (PI) (* x tau))))) 1))
1.0ms
tau
@0
(/ (* (/ (sin (* (* tau x) (PI))) x) (sin (* x (PI)))) (* (PI) (* x (PI))))
1.0ms
x
@0
(* (/ (sin (* (* tau x) (PI))) x) (sin (* x (PI))))
1.0ms
tau
@0
(* (/ (sin (* (* tau x) (PI))) x) (sin (* x (PI))))

rewrite183.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1524×times-frac
366×frac-times
263×log1p-expm1-u
262×expm1-log1p-u
254×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040929
1829837
Stop Event
node limit
Counts
20 → 449
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)
(/.f32 (*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(*.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 x (PI.f32))))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.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)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.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))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (PI.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)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cbrt.f32 (pow.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 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.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 (sqrt.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 (sqrt.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 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) x) (/.f32 (sqrt.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)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (cbrt.f32 (pow.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 2 binary32))) x) (/.f32 (cbrt.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)))
(*.f32 (/.f32 (cbrt.f32 (pow.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 2 binary32))) (PI.f32)) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) x))
(*.f32 (/.f32 (cbrt.f32 (pow.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 2 binary32))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (cbrt.f32 (pow.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 2 binary32))) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (cbrt.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)))))
(*.f32 (/.f32 (sqrt.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)) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) x))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sqrt.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 (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.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 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(pow.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))
(pow.f32 (cbrt.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 3 binary32))
(pow.f32 (pow.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 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.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 2 binary32))
(sqrt.f32 (pow.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 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
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(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 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.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 (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))))
(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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32))
(-.f32 (*.f32 (sin.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (cos.f32 #s(literal 1 binary32))) (*.f32 (cos.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32)))
(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 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.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 (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 (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 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.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 (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 (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 (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32))
(-.f32 (*.f32 (sin.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (cos.f32 #s(literal 1 binary32))) (*.f32 (cos.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32)))
(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)))

simplify460.0ms (3.5%)

Algorithm
egg-herbie
Rules
1566×fma-define
1042×associate-*r/
950×associate-*l/
768×associate-/r*
728×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0111351611
1315950509
Stop Event
node limit
Counts
865 → 566
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)))
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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)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (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)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (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))))))
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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)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (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 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.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 (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 (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 (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 (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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
tau
(+.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(+.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #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 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #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 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 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 (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 (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 (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 (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 (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 (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 (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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 tau (+.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))))
(*.f32 tau (+.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 x (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(*.f32 x (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))
(*.f32 x (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 8 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(*.f32 tau (PI.f32))
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#s(literal 1 binary32)
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(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32)))
(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)))
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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (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 (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 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.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 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (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 -1/6 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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (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)))))
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tau
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(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(-.f32 (*.f32 (sin.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (cos.f32 #s(literal 1 binary32))) (*.f32 (cos.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 #s(literal 1 binary32))))
(-.f32 (*.f32 (sin.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))) (cos.f32 #s(literal 1 binary32))) (*.f32 (cos.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))) (sin.f32 #s(literal 1 binary32))))
(-.f32 (*.f32 (sin.f32 (fma.f32 x (*.f32 tau (PI.f32)) #s(literal 1 binary32))) (cos.f32 #s(literal 1 binary32))) (*.f32 (cos.f32 (fma.f32 x (*.f32 tau (PI.f32)) #s(literal 1 binary32))) (sin.f32 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32)))
(fabs.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))

eval191.0ms (1.4%)

Compiler

Compiled 39312 to 5039 computations (87.2% saved)

prune389.0ms (3%)

Pruning

78 alts after pruning (71 fresh and 7 done)

PrunedKeptTotal
New1428361464
Fresh123547
Picked145
Done235
Total1443781521
Accuracy
99.9%
Counts
1521 → 78
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.3%
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
64.7%
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
97.6%
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) (PI.f32)) tau)
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))) tau)
55.4%
(/.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) tau)))
96.4%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
96.8%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
97.2%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
97.5%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)) tau)
97.2%
(/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
64.5%
(/.f32 (/.f32 (*.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
70.7%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
70.7%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (*.f32 x (PI.f32)))
97.4%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) tau)
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (PI.f32)))
97.2%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) x) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))) tau)
55.4%
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau)))
56.5%
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 1 binary32))) (*.f32 x (*.f32 (PI.f32) tau)))
70.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))) tau)
96.9%
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
64.6%
(/.f32 (*.f32 (*.f32 (*.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
71.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))))
97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
96.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
95.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
84.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))) #s(literal 1 binary32))) (*.f32 x (PI.f32)))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))) (*.f32 x (PI.f32)))
97.0%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))))) (*.f32 x (PI.f32)))
95.9%
(/.f32 (*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (expm1.f32 (log1p.f32 (PI.f32)))))
97.2%
(/.f32 (*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
64.7%
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32)))
63.4%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) tau)))
63.6%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
54.3%
(/.f32 (*.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))) (*.f32 x (*.f32 (PI.f32) tau)))
71.0%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
71.0%
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
97.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)))
64.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
71.0%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
82.1%
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 x (PI.f32)))
55.3%
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (*.f32 (PI.f32) tau)))
82.0%
(/.f32 (log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 x (PI.f32)))
91.6%
(/.f32 (exp.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau)))
71.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
97.1%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))))
96.4%
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau))) #s(literal 1 binary32))
97.0%
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))) #s(literal 1 binary32))
69.3%
(*.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
77.8%
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) x) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
70.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) x)
64.5%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32))))
77.8%
(*.f32 (/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))) #s(literal 1 binary32)) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
63.7%
(*.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
70.7%
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
82.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
70.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) x)
70.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
70.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)))
64.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
70.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau x)) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32))) (PI.f32)))
64.5%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
70.7%
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
70.6%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
70.7%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
70.7%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
70.7%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
97.7%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
97.2%
(*.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))))
63.9%
#s(literal 1 binary32)
Compiler

Compiled 4664 to 1464 computations (68.6% saved)

regimes170.0ms (1.3%)

Counts
143 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 1 binary32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) x)
(/.f32 (/.f32 (*.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (*.f32 (*.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) 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 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) tau)))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) tau)))
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) x)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(/.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))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 x (/.f32 (*.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 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) x)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) x)
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)) tau)
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))) tau)
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) (PI.f32)) tau)
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau x)) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) x) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))) tau)
(/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (neg.f32 (pow.f32 x #s(literal 2 binary32))) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))) tau)
(*.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (log.f32 (exp.f32 (/.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 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (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 (PI.f32) (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))
(*.f32 (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) x) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (exp.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (pow.f32 (sqrt.f32 (*.f32 (PI.f32) tau)) #s(literal 2 binary32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
(*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.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 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))) #s(literal 1 binary32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(exp.f32 (log.f32 (/.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)))))))
(exp.f32 (log.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 tau (PI.f32)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(-.f32 (exp.f32 (log1p.f32 (/.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))))))) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau))) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (expm1.f32 (log1p.f32 (PI.f32)))))
(*.f32 (/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))) #s(literal 1 binary32)) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (sqrt.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sqrt.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (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:

39.0ms
tau
39.0ms
x
39.0ms
(*.f32 x (PI.f32))
38.0ms
(*.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))))
Results
AccuracySegmentsBranch
98.0%1x
98.0%1tau
98.0%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))))
98.0%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes50.0ms (0.4%)

Counts
51 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 1 binary32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) x)
(/.f32 (/.f32 (*.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (*.f32 (*.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) 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 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) tau)))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) tau)))
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) x)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
Outputs
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
Calls

3 calls:

16.0ms
(*.f32 x (PI.f32))
15.0ms
x
15.0ms
tau
Results
AccuracySegmentsBranch
97.7%1x
97.7%1tau
97.7%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes122.0ms (0.9%)

Counts
45 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 1 binary32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) x)
(/.f32 (/.f32 (*.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (*.f32 (*.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) 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 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) tau)))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) tau)))
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)))) x)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
Outputs
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
Calls

3 calls:

89.0ms
(*.f32 x (PI.f32))
15.0ms
x
13.0ms
tau
Results
AccuracySegmentsBranch
97.2%1x
97.2%1tau
97.2%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes42.0ms (0.3%)

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

3 calls:

13.0ms
x
13.0ms
(*.f32 x (PI.f32))
13.0ms
tau
Results
AccuracySegmentsBranch
71.0%1x
71.0%1tau
71.0%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes26.0ms (0.2%)

Counts
26 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 1 binary32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) x)
(/.f32 (/.f32 (*.f32 (*.f32 tau (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (*.f32 (*.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) 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 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32)) (*.f32 x (PI.f32))))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
Calls

3 calls:

9.0ms
(*.f32 x (PI.f32))
8.0ms
tau
8.0ms
x
Results
AccuracySegmentsBranch
71.0%1tau
71.0%1x
71.0%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes19.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 1 binary32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
Outputs
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
Calls

3 calls:

6.0ms
(*.f32 x (PI.f32))
6.0ms
x
6.0ms
tau
Results
AccuracySegmentsBranch
71.0%1x
71.0%1(*.f32 x (PI.f32))
71.0%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.1%)

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

3 calls:

4.0ms
tau
4.0ms
(*.f32 x (PI.f32))
4.0ms
x
Results
AccuracySegmentsBranch
64.7%1x
64.7%1(*.f32 x (PI.f32))
64.7%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Accuracy

Total -2.8b remaining (-24.1%)

Threshold costs -2.8b (-24.1%)

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

2 calls:

3.0ms
tau
2.0ms
x
Results
AccuracySegmentsBranch
63.9%1tau
63.9%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
24×*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039494
157494
Stop Event
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 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.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 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.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)))
#s(literal 1 binary32)

soundness1.7s (13%)

Rules
1984×fma-define
1524×times-frac
1186×times-frac
999×log1p-expm1-u
834×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040745
1732684
035777
1666750
040929
1829837
038663
1112663
2494631
32565631
45282631
57342631
0100672733
1274069627
2630269627
029678
1549620
26614620
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1137 to 248 computations (78.2% saved)

preprocess54.0ms (0.4%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1022 to 394 computations (61.4% saved)

end0.0ms (0%)

Profiling

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