Lanczos kernel

Time bar (total: 20.7s)

analyze1.0ms (0%)

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

Compiled 38 to 21 computations (44.7% saved)

sample2.3s (11.2%)

Results
2.3s8256×body256valid
Bogosity

preprocess172.0ms (0.8%)

Algorithm
egg-herbie
Rules
810×distribute-lft-neg-out
610×div-sub
494×distribute-lft-neg-in
474×distribute-rgt-neg-in
432×associate-/r/
Problems
226×No Errors
15×(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034363
193363
2368363
31787363
44364363
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))))
(*.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 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.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 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.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 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.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 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x (neg.f32 tau)))) (*.f32 (PI.f32) (*.f32 x (neg.f32 tau)))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))) (*.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))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) tau))) x) (*.f32 (PI.f32) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
Symmetry

(abs x)

Compiler

Compiled 88 to 21 computations (76.1% saved)

eval1.0ms (0%)

Compiler

Compiled 198 to 45 computations (77.3% saved)

prune9.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
97.6%
(*.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))))
99.1%
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
97.6%
(*.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))))
99.1%
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))))
Compiler

Compiled 488 to 232 computations (52.5% saved)

localize398.0ms (1.9%)

Localize:

Found 40 expressions with local error:

NewAccuracyProgram
99.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
99.0%
(sin.f32 (*.f32 x (PI.f32)))
99.1%
(*.f32 x (PI.f32))
99.5%
(*.f32 x (*.f32 (PI.f32) tau))
98.8%
(*.f32 (PI.f32) (*.f32 x tau))
99.0%
(sin.f32 (*.f32 x (PI.f32)))
99.1%
(*.f32 x (PI.f32))
99.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
99.0%
(sin.f32 (*.f32 x (PI.f32)))
99.1%
(*.f32 x (PI.f32))
99.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
99.5%
(*.f32 x (*.f32 (PI.f32) tau))
99.0%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
99.0%
(sin.f32 (*.f32 x (PI.f32)))
99.1%
(*.f32 x (PI.f32))
99.5%
(*.f32 x (*.f32 (PI.f32) tau))
99.0%
(sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))
99.2%
(*.f64 (PI.f32) (binary32->binary64 tau))
99.3%
(*.f64 (binary32->binary64 x) (PI.f32))
99.3%
(*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))
99.0%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
98.9%
(*.f32 (PI.f32) tau)
98.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
98.6%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
98.8%
(*.f32 (PI.f32) (*.f32 x tau))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
98.6%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
98.5%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
98.9%
(*.f32 (PI.f32) tau)
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
98.6%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
98.5%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
98.9%
(*.f32 (PI.f32) tau)
98.7%
(*.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))))
98.6%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
98.5%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
99.0%
(/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))
98.9%
(sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))
98.9%
(/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32)))
98.4%
(*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
Compiler

Compiled 387 to 33 computations (91.5% saved)

series67.0ms (0.3%)

Counts
20 → 308
Calls

105 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
5.0ms
x
@-inf
(*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
4.0ms
x
@-inf
(/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))
3.0ms
x
@0
(*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
3.0ms
x
@inf
(*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))

rewrite238.0ms (1.2%)

Algorithm
rewrite-once
batch-egg-rewrite
Rules
1361×frac-times
881×times-frac
599×frac-2neg
533×associate-/r*
513×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037648
1135648
2946622
Stop Event
node limit
Counts
20 → 1068
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
(/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32)))
(sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))
(/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (*.f32 (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 (PI.f32) tau)
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) tau)
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) tau)
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
Outputs
(/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (/.f64 (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (binary32->binary64 tau))))
(/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (*.f64 (/.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (neg.f64 (binary32->binary64 tau)))) (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))) (*.f64 (PI.f32) (neg.f64 (binary32->binary64 x)))))
(/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2) (neg.f64 (binary32->binary64 tau))) (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))))
(/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (/.f64 (*.f64 (*.f64 (PI.f32) (binary32->binary64 tau)) (/.f64 (binary32->binary64 x) (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))) (/.f64 1 (*.f64 (binary32->binary64 x) (PI.f32)))))
(/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (/.f64 (/.f64 (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (binary32->binary64 tau))) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (*.f64 (PI.f32) (binary32->binary64 tau)) (/.f64 (binary32->binary64 x) (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))))
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(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (neg.f32 tau)))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau))))
(neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x (neg.f32 tau)))))
(neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau))) (*.f32 x (neg.f32 (PI.f32)))))
(-.f32 0 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (neg.f32 (PI.f32)))))
(-.f32 (/.f32 0 (*.f32 x (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (neg.f32 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) 1)
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 -1 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (/.f32 -1 (*.f32 x (PI.f32))) 1))
(*.f32 1 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (pow.f32 (/.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) -1))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 1 x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (/.f32 1 (PI.f32)) 1))
(*.f32 -1 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (neg.f32 (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 x)) (/.f32 1 (neg.f32 (PI.f32))))
(*.f32 (/.f32 1 x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
(*.f32 (/.f32 -1 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
(*.f32 (pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) -1/2) (pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) -1/2))
(*.f32 (/.f32 -1 x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (PI.f32))))
(*.f32 (/.f32 -1 (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 x)))
(pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) -1)
(neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (neg.f32 (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (neg.f32 (PI.f32)))) 1))
(neg.f32 (*.f32 1 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (neg.f32 (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) -1))
Calls

60 calls:

1.0ms
(*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
0.0ms
(*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
0.0ms
(*.f32 (PI.f32) tau)
0.0ms
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
0.0ms
(/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32)))

simplify628.0ms (3%)

Algorithm
egg-herbie
Rules
625×*-commutative
616×distribute-frac-neg
427×distribute-lft-neg-in
416×div-sub
414×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0162673606
1501271462
Stop Event
node limit
Counts
1376 → 1061
Calls
Call 1
Inputs
1
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))) (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
1
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))) (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (*.f32 tau (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (*.f32 tau (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
1
(+.f32 1 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4))))))))
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4)))))) (*.f32 (pow.f32 x 6) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (pow.f32 (PI.f32) 6))) (*.f32 -1/5040 (pow.f32 (PI.f32) 6)))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 5) (*.f32 (pow.f32 (PI.f32) 5) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (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 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
1
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))) (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
1
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
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1
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1
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1
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1
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(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 (PI.f32) (*.f32 x tau))))
(binary64->binary32 (binary32->binary64 (*.f32 (PI.f32) (*.f32 x tau))))
(binary64->binary32 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (*.f32 (PI.f32) tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (*.f32 (PI.f32) tau))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
Outputs
1
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 tau tau)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (fma.f32 -1/6 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 4) (pow.f32 x 4)) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 4) (pow.f32 x 4)) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))) (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))))))
(+.f32 1 (fma.f32 -1/6 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))) (fma.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 4) (pow.f32 x 4)) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2) (fma.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 4) (pow.f32 x 4)) (pow.f32 (PI.f32) 4))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
1
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 tau tau)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (fma.f32 -1/6 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 4) (pow.f32 x 4)) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 4) (pow.f32 x 4)) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))) (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))))))
(+.f32 1 (fma.f32 -1/6 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))) (fma.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 4) (pow.f32 x 4)) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2) (fma.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 4) (pow.f32 x 4)) (pow.f32 (PI.f32) 4))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (*.f32 tau (*.f32 x (PI.f32))))
(fma.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (*.f32 tau (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32)))))
(fma.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (fma.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 5) (pow.f32 x 5)) (pow.f32 (PI.f32) 5)) (*.f32 tau (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32))))))
(fma.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (fma.f32 -1/5040 (*.f32 (*.f32 (pow.f32 tau 7) (pow.f32 x 7)) (pow.f32 (PI.f32) 7)) (fma.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 5) (pow.f32 x 5)) (pow.f32 (PI.f32) 5)) (*.f32 tau (*.f32 x (PI.f32))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (*.f32 tau (*.f32 x (PI.f32))))
(fma.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (*.f32 tau (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32)))))
(fma.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (fma.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 5) (pow.f32 x 5)) (pow.f32 (PI.f32) 5)) (*.f32 tau (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32))))))
(fma.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (fma.f32 -1/5040 (*.f32 (*.f32 (pow.f32 tau 7) (pow.f32 x 7)) (pow.f32 (PI.f32) 7)) (fma.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 5) (pow.f32 x 5)) (pow.f32 (PI.f32) 5)) (*.f32 tau (*.f32 x (PI.f32))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
1
(+.f32 1 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4))))))))
(+.f32 1 (fma.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (*.f32 (pow.f32 x 4) (fma.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4)) (fma.f32 1/120 (pow.f32 (PI.f32) 4) (*.f32 1/36 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 4))))))))
(+.f32 1 (fma.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2))) (*.f32 (pow.f32 x 4) (fma.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4)) (fma.f32 1/120 (pow.f32 (PI.f32) 4) (*.f32 1/36 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 4))))))))
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4)))))) (*.f32 (pow.f32 x 6) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (pow.f32 (PI.f32) 6))) (*.f32 -1/5040 (pow.f32 (PI.f32) 6)))))))))
(+.f32 1 (fma.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 x 4) (fma.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4)) (fma.f32 1/120 (pow.f32 (PI.f32) 4) (*.f32 1/36 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 4))))) (*.f32 (pow.f32 x 6) (fma.f32 -1/720 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 6)) (fma.f32 -1/720 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 6)) (*.f32 -1/5040 (+.f32 (*.f32 (pow.f32 tau 6) (pow.f32 (PI.f32) 6)) (pow.f32 (PI.f32) 6)))))))))
(+.f32 1 (fma.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 x 4) (fma.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4)) (fma.f32 1/120 (pow.f32 (PI.f32) 4) (*.f32 1/36 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 4))))) (*.f32 (pow.f32 x 6) (fma.f32 -1/720 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 6)) (fma.f32 -1/720 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 6)) (*.f32 -1/5040 (+.f32 (*.f32 (pow.f32 tau 6) (pow.f32 (PI.f32) 6)) (pow.f32 (PI.f32) 6)))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (pow.f32 (PI.f32) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (pow.f32 (PI.f32) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (pow.f32 (PI.f32) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (pow.f32 (PI.f32) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (pow.f32 (PI.f32) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (pow.f32 (PI.f32) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (pow.f32 (PI.f32) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
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1
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1
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1
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(*.f32 tau (PI.f32))
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(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
1
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1
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(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
1
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(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
1
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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 2) (pow.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (pow.f32 (PI.f32) 2)) (sin.f32 (*.f32 x (PI.f32)))))
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(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
tau
(+.f32 tau (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 tau (*.f32 (*.f32 -1/6 (pow.f32 tau 3)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 tau (*.f32 (*.f32 -1/6 (pow.f32 tau 3)) (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 tau (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 tau (fma.f32 -1/6 (*.f32 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)) (pow.f32 tau 3)) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 5) (pow.f32 x 4)) (pow.f32 (PI.f32) 4)))))
(+.f32 tau (fma.f32 -1/6 (*.f32 (pow.f32 tau 3) (pow.f32 (*.f32 x (PI.f32)) 2)) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 5) (pow.f32 x 4)) (pow.f32 (PI.f32) 4)))))
(+.f32 tau (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))) (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))))))
(+.f32 tau (fma.f32 -1/6 (*.f32 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)) (pow.f32 tau 3)) (fma.f32 -1/5040 (*.f32 (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)) (pow.f32 tau 7)) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 5) (pow.f32 x 4)) (pow.f32 (PI.f32) 4))))))
(+.f32 tau (fma.f32 -1/6 (*.f32 (pow.f32 tau 3) (pow.f32 (*.f32 x (PI.f32)) 2)) (fma.f32 -1/5040 (*.f32 (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)) (pow.f32 tau 7)) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 5) (pow.f32 x 4)) (pow.f32 (PI.f32) 4))))))
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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)))
tau
(+.f32 tau (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 tau (*.f32 (*.f32 -1/6 (pow.f32 tau 3)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 tau (*.f32 (*.f32 -1/6 (pow.f32 tau 3)) (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 tau (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 tau (fma.f32 -1/6 (*.f32 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)) (pow.f32 tau 3)) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 5) (pow.f32 x 4)) (pow.f32 (PI.f32) 4)))))
(+.f32 tau (fma.f32 -1/6 (*.f32 (pow.f32 tau 3) (pow.f32 (*.f32 x (PI.f32)) 2)) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 5) (pow.f32 x 4)) (pow.f32 (PI.f32) 4)))))
(+.f32 tau (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))) (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))))))
(+.f32 tau (fma.f32 -1/6 (*.f32 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)) (pow.f32 tau 3)) (fma.f32 -1/5040 (*.f32 (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)) (pow.f32 tau 7)) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 5) (pow.f32 x 4)) (pow.f32 (PI.f32) 4))))))
(+.f32 tau (fma.f32 -1/6 (*.f32 (pow.f32 tau 3) (pow.f32 (*.f32 x (PI.f32)) 2)) (fma.f32 -1/5040 (*.f32 (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)) (pow.f32 tau 7)) (*.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 5) (pow.f32 x 4)) (pow.f32 (PI.f32) 4))))))
(/.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)))
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(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))))))
(binary64->binary32 (/.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (*.f64 (*.f64 (PI.f32) (binary32->binary64 x)) (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau))))))
(binary64->binary32 (binary32->binary64 (*.f32 x (*.f32 (PI.f32) tau))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 x (*.f32 (PI.f32) tau))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))
(binary64->binary32 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(binary64->binary32 (binary32->binary64 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau x)))))
(binary64->binary32 (binary32->binary64 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(binary64->binary32 (binary32->binary64 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau x)))))
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))))
(binary64->binary32 (*.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (*.f64 (*.f64 (PI.f32) (binary32->binary64 x)) (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))))))
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2)) (/.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 x)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))))
(binary64->binary32 (binary32->binary64 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(binary64->binary32 (binary32->binary64 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau x)))))
(binary64->binary32 (binary32->binary64 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(binary64->binary32 (binary32->binary64 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau x)))))
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau))))))
(binary64->binary32 (*.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (*.f64 (*.f64 (PI.f32) (binary32->binary64 x)) (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))))))
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2)) (/.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 x)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))))
(binary64->binary32 (binary32->binary64 (*.f32 (PI.f32) (*.f32 x tau))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 (PI.f32) (*.f32 x tau))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (*.f32 (PI.f32) tau))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 x (*.f32 (PI.f32) tau))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))
(binary64->binary32 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 x)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))))

eval296.0ms (1.4%)

Compiler

Compiled 38704 to 7037 computations (81.8% saved)

prune421.0ms (2%)

Pruning

48 alts after pruning (46 fresh and 2 done)

PrunedKeptTotal
New1357461403
Fresh000
Picked325
Done000
Total1360481408
Accuracy
99.6%
Counts
1408 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) tau)
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 x tau))
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
97.1%
(/.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)))))))
96.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
97.3%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
96.8%
(/.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) (/.f32 (PI.f32) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau x))))
97.0%
(/.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)
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
65.4%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))
97.0%
(/.f32 (*.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
97.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
65.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.1%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32))))
96.9%
(/.f32 1 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
97.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) (cbrt.f32 (*.f32 (PI.f32) tau))) (cbrt.f32 (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 x (/.f32 1 (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 tau (/.f32 1 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau))))
96.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (PI.f32)) (/.f32 1 tau))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 tau tau)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
93.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
97.0%
(*.f32 (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.8%
(*.f32 (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
80.2%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
65.1%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
97.1%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
97.2%
(*.f32 (binary64->binary32 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
65.0%
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
96.8%
(log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))))
98.2%
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))))
96.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) tau)
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 x tau))
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
97.1%
(/.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)))))))
96.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
97.3%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
96.8%
(/.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) (/.f32 (PI.f32) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau x))))
97.0%
(/.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)
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
65.4%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))
97.0%
(/.f32 (*.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
97.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
65.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.1%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32))))
96.9%
(/.f32 1 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
97.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) (cbrt.f32 (*.f32 (PI.f32) tau))) (cbrt.f32 (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 x (/.f32 1 (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 tau (/.f32 1 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau))))
96.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (PI.f32)) (/.f32 1 tau))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 tau tau)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
93.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
97.0%
(*.f32 (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.8%
(*.f32 (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
80.2%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
65.1%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
97.1%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
97.2%
(*.f32 (binary64->binary32 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
65.0%
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
96.8%
(log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))))
98.2%
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))))
Compiler

Compiled 4492 to 2536 computations (43.5% saved)

localize510.0ms (2.5%)

Localize:

Found 38 expressions with local error:

NewAccuracyProgram
99.1%
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))
99.2%
(*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))
99.4%
(+.f32 (*.f32 x tau) x)
99.7%
(cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x)))
98.9%
(/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
99.0%
(sin.f32 (*.f32 x (PI.f32)))
99.1%
(*.f32 x (PI.f32))
99.1%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)
99.0%
(sin.f32 (*.f32 x (PI.f32)))
99.1%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)
99.1%
(*.f32 x (PI.f32))
99.3%
(*.f32 tau (*.f32 x (PI.f32)))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
99.0%
(sin.f32 (*.f32 x (PI.f32)))
99.1%
(*.f32 x (PI.f32))
99.2%
(*.f64 (PI.f32) (binary32->binary64 tau))
99.3%
(*.f64 (binary32->binary64 x) (PI.f32))
99.3%
(*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))
99.3%
(*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))
98.6%
(*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
98.5%
(pow.f32 (*.f32 x (PI.f32)) 2)
97.7%
(-.f32 (*.f32 x tau) x)
66.8%
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x))))
98.8%
(*.f32 (PI.f32) (*.f32 x tau))
98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
98.7%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
98.6%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
99.0%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2))
98.7%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
98.6%
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
98.5%
(pow.f32 (*.f32 x (PI.f32)) 2)
99.1%
(*.f32 x (PI.f32))
99.0%
(sin.f32 (*.f32 x (PI.f32)))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
98.9%
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
98.9%
(/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))) (*.f64 (binary32->binary64 x) (PI.f32)))
98.4%
(*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
17.0%
(binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))
Compiler

Compiled 448 to 75 computations (83.3% saved)

series37.0ms (0.2%)

Counts
16 → 184
Calls

78 calls:

TimeVariablePointExpression
3.0ms
tau
@0
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x))))
2.0ms
x
@0
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x))))
2.0ms
x
@0
(*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
2.0ms
tau
@-inf
(*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
2.0ms
tau
@inf
(*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))

rewrite300.0ms (1.5%)

Algorithm
rewrite-once
batch-egg-rewrite
Rules
1364×frac-times
770×frac-2neg
454×times-frac
260×distribute-lft-neg-in
241×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052578
1225578
21709568
Stop Event
node limit
Counts
16 → 891
Calls
Call 1
Inputs
(binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))
(*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
(/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))) (*.f64 (binary32->binary64 x) (PI.f32)))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(pow.f32 (*.f32 x (PI.f32)) 2)
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x))))
(-.f32 (*.f32 x tau) x)
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
Outputs
(/.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (/.f64 (*.f64 (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2) (binary32->binary64 tau)) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))))
(/.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (/.f64 (*.f64 (PI.f32) (binary32->binary64 x)) (/.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (*.f64 (PI.f32) (binary32->binary64 x))) (/.f64 (binary32->binary64 x) (/.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (*.f64 (PI.f32) (binary32->binary64 tau)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (/.f64 (*.f64 (PI.f32) (binary32->binary64 x)) (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (*.f64 (/.f64 (binary32->binary64 x) (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x)))) (PI.f32)))
(/.f64 1 (/.f64 (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (binary32->binary64 tau)) (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))))))
(/.f64 1 (*.f64 (/.f64 (*.f64 (PI.f32) (neg.f64 (binary32->binary64 x))) (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x)))) (/.f64 (*.f64 (PI.f32) (neg.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))))))
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(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) (/.f32 1 tau)) (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) 1) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) -1) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) (/.f32 1 tau)) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2))) (*.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3))) (*.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (*.f32 -1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2))) (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (*.f32 -1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3))) (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (*.f32 (/.f32 1 tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (*.f32 (/.f32 1 tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (+.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3))) (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) tau) (pow.f32 (*.f32 (PI.f32) x) 2))
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (*.f32 (PI.f32) x) 2)) tau)
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 1 tau)) (pow.f32 (*.f32 (PI.f32) x) 2))
(/.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))
(/.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)))
(/.f32 (*.f32 (/.f32 1 tau) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (pow.f32 (*.f32 (PI.f32) x) 2))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))) (*.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (*.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) 1)) (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) 1)) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) -1)) (neg.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) (/.f32 1 tau))) (neg.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) -1)) (neg.f32 (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) (/.f32 1 tau))) (neg.f32 (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (neg.f32 (*.f32 1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)))) (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (neg.f32 (*.f32 1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)))) (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (neg.f32 (*.f32 -1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)))) (neg.f32 (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))))
(/.f32 (neg.f32 (*.f32 -1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)))) (neg.f32 (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)))))
(/.f32 (neg.f32 (*.f32 (/.f32 1 tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))))
(/.f32 (neg.f32 (*.f32 (/.f32 1 tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (neg.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) tau)) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (neg.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (*.f32 (PI.f32) x) 2))) (neg.f32 tau))
(/.f32 (neg.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 1 tau))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (neg.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)))) (neg.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (neg.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau))) (neg.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (neg.f32 (*.f32 (/.f32 1 tau) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))))) (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))))
(/.f32 (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)) (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau))) (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)) (*.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))) (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)) (*.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau))))
(/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)))) (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))))) (+.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)))))
(pow.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) -1)
(neg.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (*.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))
(fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
Calls

51 calls:

1.0ms
(binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))
1.0ms
(binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))
0.0ms
(*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
0.0ms
(/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))) (*.f64 (binary32->binary64 x) (PI.f32)))
0.0ms
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))

simplify559.0ms (2.7%)

Algorithm
egg-herbie
Rules
801×*-commutative
554×associate-/r*
521×times-frac
497×associate-/l*
352×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227077325
1759977325
Stop Event
node limit
Counts
1075 → 1118
Calls
Call 1
Inputs
(*.f32 x (PI.f32))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5))) (*.f32 x (PI.f32)))))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 tau (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (*.f32 tau (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 tau (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (*.f32 tau (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 5) (*.f32 (pow.f32 (PI.f32) 5) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (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 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
1
(+.f32 1 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4))))))))
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4)))))) (*.f32 (pow.f32 x 6) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (pow.f32 (PI.f32) 6))) (*.f32 -1/5040 (pow.f32 (PI.f32) 6)))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 tau (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (/.f32 tau (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (/.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 tau (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (/.f32 tau (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (/.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
1
(+.f32 1 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4))))))))
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4)))))) (*.f32 (pow.f32 x 6) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (pow.f32 (PI.f32) 6))) (*.f32 -1/5040 (pow.f32 (PI.f32) 6)))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 5) (*.f32 (pow.f32 (PI.f32) 5) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (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 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
x
(+.f32 x (*.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))))
(+.f32 x (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) (*.f32 1/120 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4)))))
(+.f32 x (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 6))) (*.f32 1/120 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4))))))
(*.f32 (pow.f32 x 2) (-.f32 (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (-.f32 tau 1) 2))) (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 1 tau) 2)))))
(+.f32 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (-.f32 tau 1) 2))) (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 1 tau) 2))))) (*.f32 (pow.f32 x 4) (-.f32 (*.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (-.f32 tau 1) 4))) (*.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 1 tau) 4))))))
(+.f32 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (-.f32 tau 1) 2))) (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 1 tau) 2))))) (+.f32 (*.f32 (pow.f32 x 4) (-.f32 (*.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (-.f32 tau 1) 4))) (*.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 1 tau) 4))))) (*.f32 (pow.f32 x 6) (-.f32 (*.f32 -1/720 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (-.f32 tau 1) 6))) (*.f32 -1/720 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (+.f32 1 tau) 6)))))))
(+.f32 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (-.f32 tau 1) 2))) (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 1 tau) 2))))) (+.f32 (*.f32 (pow.f32 x 4) (-.f32 (*.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (-.f32 tau 1) 4))) (*.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 1 tau) 4))))) (+.f32 (*.f32 (pow.f32 x 6) (-.f32 (*.f32 -1/720 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (-.f32 tau 1) 6))) (*.f32 -1/720 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (+.f32 1 tau) 6))))) (*.f32 (pow.f32 x 8) (-.f32 (*.f32 1/40320 (*.f32 (pow.f32 (PI.f32) 8) (pow.f32 (-.f32 tau 1) 8))) (*.f32 1/40320 (*.f32 (pow.f32 (PI.f32) 8) (pow.f32 (+.f32 1 tau) 8))))))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 -1 x) (*.f32 tau x)))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) (*.f32 -1 x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 -1 x) (*.f32 tau x)))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) (*.f32 -1 x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 -1 x) (*.f32 tau x)))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) (*.f32 -1 x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 -1 x) (*.f32 tau x)))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) (*.f32 -1 x)))))
(-.f32 (cos.f32 (*.f32 -1 (*.f32 x (PI.f32)))) (cos.f32 (*.f32 x (PI.f32))))
(-.f32 (+.f32 (cos.f32 (*.f32 -1 (*.f32 x (PI.f32)))) (*.f32 tau (-.f32 (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 -1 (*.f32 x (PI.f32))))))))) (cos.f32 (*.f32 x (PI.f32))))
(-.f32 (+.f32 (cos.f32 (*.f32 -1 (*.f32 x (PI.f32)))) (+.f32 (*.f32 tau (-.f32 (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 -1 (*.f32 x (PI.f32)))))))) (*.f32 (pow.f32 tau 2) (-.f32 (*.f32 -1/2 (*.f32 (pow.f32 x 2) (*.f32 (pow.f32 (PI.f32) 2) (cos.f32 (*.f32 -1 (*.f32 x (PI.f32))))))) (*.f32 -1/2 (*.f32 (pow.f32 x 2) (*.f32 (pow.f32 (PI.f32) 2) (cos.f32 (*.f32 x (PI.f32)))))))))) (cos.f32 (*.f32 x (PI.f32))))
(-.f32 (+.f32 (cos.f32 (*.f32 -1 (*.f32 x (PI.f32)))) (+.f32 (*.f32 tau (-.f32 (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 -1 (*.f32 x (PI.f32)))))))) (+.f32 (*.f32 (pow.f32 tau 2) (-.f32 (*.f32 -1/2 (*.f32 (pow.f32 x 2) (*.f32 (pow.f32 (PI.f32) 2) (cos.f32 (*.f32 -1 (*.f32 x (PI.f32))))))) (*.f32 -1/2 (*.f32 (pow.f32 x 2) (*.f32 (pow.f32 (PI.f32) 2) (cos.f32 (*.f32 x (PI.f32)))))))) (*.f32 (pow.f32 tau 3) (-.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 -1/6 (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (sin.f32 (*.f32 -1 (*.f32 x (PI.f32)))))))))))) (cos.f32 (*.f32 x (PI.f32))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(*.f32 x (-.f32 tau 1))
(*.f32 x (-.f32 tau 1))
(*.f32 x (-.f32 tau 1))
(*.f32 x (-.f32 tau 1))
(*.f32 x (-.f32 tau 1))
(*.f32 x (-.f32 tau 1))
(*.f32 x (-.f32 tau 1))
(*.f32 x (-.f32 tau 1))
(*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 tau))))
(*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 tau))))
(*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 tau))))
(*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 tau))))
(*.f32 -1 x)
(+.f32 (*.f32 -1 x) (*.f32 tau x))
(+.f32 (*.f32 -1 x) (*.f32 tau x))
(+.f32 (*.f32 -1 x) (*.f32 tau x))
(*.f32 tau x)
(+.f32 (*.f32 -1 x) (*.f32 tau x))
(+.f32 (*.f32 -1 x) (*.f32 tau x))
(+.f32 (*.f32 -1 x) (*.f32 tau x))
(*.f32 tau x)
(+.f32 (*.f32 -1 x) (*.f32 tau x))
(+.f32 (*.f32 -1 x) (*.f32 tau x))
(+.f32 (*.f32 -1 x) (*.f32 tau x))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(/.f32 (-.f32 (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (-.f32 tau 1) 2))) (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 1 tau) 2)))) (*.f32 tau (pow.f32 (PI.f32) 2)))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (pow.f32 (-.f32 tau 1) 2) tau)) (*.f32 (pow.f32 x 2) (-.f32 (*.f32 1/24 (/.f32 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (-.f32 tau 1) 4)) tau)) (*.f32 1/24 (/.f32 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 1 tau) 4)) tau))))) (*.f32 -1/2 (/.f32 (pow.f32 (+.f32 1 tau) 2) tau)))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (pow.f32 (-.f32 tau 1) 2) tau)) (+.f32 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 1/24 (/.f32 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (-.f32 tau 1) 4)) tau)) (*.f32 1/24 (/.f32 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 1 tau) 4)) tau)))) (*.f32 (pow.f32 x 4) (-.f32 (*.f32 -1/720 (/.f32 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (-.f32 tau 1) 6)) tau)) (*.f32 -1/720 (/.f32 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 1 tau) 6)) tau)))))) (*.f32 -1/2 (/.f32 (pow.f32 (+.f32 1 tau) 2) tau)))
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (pow.f32 (-.f32 tau 1) 2) tau)) (+.f32 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 1/24 (/.f32 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (-.f32 tau 1) 4)) tau)) (*.f32 1/24 (/.f32 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 1 tau) 4)) tau)))) (+.f32 (*.f32 (pow.f32 x 4) (-.f32 (*.f32 -1/720 (/.f32 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (-.f32 tau 1) 6)) tau)) (*.f32 -1/720 (/.f32 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 1 tau) 6)) tau)))) (*.f32 (pow.f32 x 6) (-.f32 (*.f32 1/40320 (/.f32 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (-.f32 tau 1) 8)) tau)) (*.f32 1/40320 (/.f32 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (+.f32 1 tau) 8)) tau))))))) (*.f32 -1/2 (/.f32 (pow.f32 (+.f32 1 tau) 2) tau)))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x))))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x))))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x))))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x))))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 -1 x) (*.f32 tau x)))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) (*.f32 -1 x))))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 -1 x) (*.f32 tau x)))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) (*.f32 -1 x))))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 -1 x) (*.f32 tau x)))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) (*.f32 -1 x))))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 -1 x) (*.f32 tau x)))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) (*.f32 -1 x))))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
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(binary64->binary32 (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2))
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(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) (*.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) (*.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 -2 (/.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) (-.f32 (-.f32 (*.f32 tau x) x) (fma.f32 tau x x))) 1/2)) (sin.f32 (*.f32 (*.f32 (PI.f32) (+.f32 (-.f32 (*.f32 tau x) x) (fma.f32 tau x x))) 1/2)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) 1) (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) -1) (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) (/.f32 1 tau)) (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (*.f32 (PI.f32) x) 2)))
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(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) -1) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) (/.f32 1 tau)) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2))) (*.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3))) (*.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (*.f32 -1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2))) (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (*.f32 -1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3))) (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (*.f32 (/.f32 1 tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (*.f32 (/.f32 1 tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (+.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3))) (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) tau) (pow.f32 (*.f32 (PI.f32) x) 2))
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (*.f32 (PI.f32) x) 2)) tau)
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 1 tau)) (pow.f32 (*.f32 (PI.f32) x) 2))
(/.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))
(/.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)))
(/.f32 (*.f32 (/.f32 1 tau) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (pow.f32 (*.f32 (PI.f32) x) 2))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))) (*.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (*.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) 1)) (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) 1)) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) -1)) (neg.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)) (/.f32 1 tau))) (neg.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) -1)) (neg.f32 (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) (/.f32 1 tau))) (neg.f32 (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)) (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (neg.f32 (*.f32 1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)))) (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(/.f32 (neg.f32 (*.f32 1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)))) (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (neg.f32 (*.f32 -1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)))) (neg.f32 (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))))
(/.f32 (neg.f32 (*.f32 -1 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)))) (neg.f32 (*.f32 (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)))))
(/.f32 (neg.f32 (*.f32 (/.f32 1 tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))))
(/.f32 (neg.f32 (*.f32 (/.f32 1 tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)))) (neg.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (neg.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) tau)) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (neg.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (*.f32 (PI.f32) x) 2))) (neg.f32 tau))
(/.f32 (neg.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 1 tau))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (neg.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2)))) (neg.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
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(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 3)) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2))))
(/.f32 (neg.f32 (*.f32 (/.f32 1 tau) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))))) (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))))
(/.f32 (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)) (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau))) (*.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)) (*.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))) (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)) (*.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau))))
(/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)))) (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))))) (+.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)))))
(pow.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) -1)
(neg.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (*.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))
(fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
(exp.f32 (log.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))))
(log.f32 (exp.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))) (sqrt.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))))
(log1p.f32 (expm1.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))))
(expm1.f32 (log1p.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))) (cbrt.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))))) (cbrt.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))))
(cbrt.f32 (*.f32 (*.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))))
(*.f32 1 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))))
(pow.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 1)
(binary64->binary32 (binary32->binary64 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))))
(binary64->binary32 (binary32->binary64 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))))
(binary64->binary32 (*.f64 (-.f64 (cos.f64 (*.f64 (PI.f32) (-.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 tau)) (binary32->binary64 x)))) (cos.f64 (*.f64 (PI.f32) (+.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 tau)) (binary32->binary64 x))))) (/.f64 1 (*.f64 (binary32->binary64 tau) (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2)))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
(binary32->binary64 (*.f32 (binary64->binary32 (binary32->binary64 x)) (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))))
(binary32->binary64 (*.f32 (binary64->binary32 (binary32->binary64 x)) (binary64->binary32 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary32->binary64 (*.f32 (binary64->binary32 (binary32->binary64 x)) (PI.f32)))
(binary32->binary64 (binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 tau))))
(binary32->binary64 (binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 tau))))
(binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (*.f64 (binary32->binary64 tau) (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (binary32->binary64 tau)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (binary32->binary64 x)))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(binary64->binary32 (binary32->binary64 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(binary64->binary32 (/.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (PI.f32))))
(binary64->binary32 (binary32->binary64 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x)))))
(binary64->binary32 (binary32->binary64 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x)))))
(binary64->binary32 (cos.f64 (*.f64 (PI.f32) (-.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 tau)) (binary32->binary64 x)))))
(binary64->binary32 (binary32->binary64 (+.f32 (*.f32 x tau) x)))
(binary64->binary32 (binary32->binary64 (+.f32 (*.f32 x tau) x)))
(binary64->binary32 (+.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 tau)) (binary32->binary64 x)))
(binary64->binary32 (binary32->binary64 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(binary64->binary32 (*.f64 (binary32->binary64 tau) (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2)))
(binary64->binary32 (binary32->binary64 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))))
(binary64->binary32 (binary32->binary64 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))))
(binary64->binary32 (cos.f64 (*.f64 (PI.f32) (+.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 tau)) (binary32->binary64 x)))))
Outputs
(*.f32 x (PI.f32))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (*.f32 x (PI.f32)))
(fma.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)) (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5))) (*.f32 x (PI.f32))))
(fma.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)) (fma.f32 1/120 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)) (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5))) (*.f32 x (PI.f32)))))
(fma.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)) (fma.f32 -1/5040 (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)) (fma.f32 1/120 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)) (*.f32 x (PI.f32)))))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 x (PI.f32)) 2)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (*.f32 tau (*.f32 x (PI.f32))))
(fma.f32 -1/6 (*.f32 (pow.f32 (*.f32 x tau) 3) (pow.f32 (PI.f32) 3)) (*.f32 (PI.f32) (*.f32 x tau)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32)))))
(fma.f32 -1/6 (*.f32 (pow.f32 (*.f32 x tau) 3) (pow.f32 (PI.f32) 3)) (fma.f32 1/120 (*.f32 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)) (pow.f32 tau 5)) (*.f32 (PI.f32) (*.f32 x tau))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32))))))
(fma.f32 -1/6 (*.f32 (pow.f32 (*.f32 x tau) 3) (pow.f32 (PI.f32) 3)) (fma.f32 -1/5040 (*.f32 (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)) (pow.f32 tau 7)) (fma.f32 1/120 (*.f32 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)) (pow.f32 tau 5)) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (*.f32 tau (*.f32 x (PI.f32))))
(fma.f32 -1/6 (*.f32 (pow.f32 (*.f32 x tau) 3) (pow.f32 (PI.f32) 3)) (*.f32 (PI.f32) (*.f32 x tau)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32)))))
(fma.f32 -1/6 (*.f32 (pow.f32 (*.f32 x tau) 3) (pow.f32 (PI.f32) 3)) (fma.f32 1/120 (*.f32 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)) (pow.f32 tau 5)) (*.f32 (PI.f32) (*.f32 x tau))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (*.f32 tau (*.f32 x (PI.f32))))))
(fma.f32 -1/6 (*.f32 (pow.f32 (*.f32 x tau) 3) (pow.f32 (PI.f32) 3)) (fma.f32 -1/5040 (*.f32 (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)) (pow.f32 tau 7)) (fma.f32 1/120 (*.f32 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)) (pow.f32 tau 5)) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.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 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4)))))) (*.f32 (pow.f32 x 6) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (pow.f32 (PI.f32) 6))) (*.f32 -1/5040 (pow.f32 (PI.f32) 6)))))))))
(+.f32 1 (fma.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 x 4) (fma.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4)) (fma.f32 1/120 (pow.f32 (PI.f32) 4) (*.f32 1/36 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 4))))) (*.f32 (pow.f32 x 6) (fma.f32 -1/720 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 6)) (fma.f32 -1/720 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 6)) (*.f32 -1/5040 (+.f32 (*.f32 (pow.f32 tau 6) (pow.f32 (PI.f32) 6)) (pow.f32 (PI.f32) 6)))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 -1/6 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(fma.f32 -1/6 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (fma.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 4) (pow.f32 x 3)) (*.f32 (pow.f32 (PI.f32) 3) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 5) (*.f32 (pow.f32 (PI.f32) 5) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(fma.f32 -1/6 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (fma.f32 -1/5040 (*.f32 (*.f32 (pow.f32 tau 6) (pow.f32 x 5)) (*.f32 (pow.f32 (PI.f32) 5) (sin.f32 (*.f32 x (PI.f32))))) (fma.f32 1/120 (*.f32 (*.f32 (pow.f32 tau 4) (pow.f32 x 3)) (*.f32 (pow.f32 (PI.f32) 3) (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 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) 2)))
x
(+.f32 x (*.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))))
(+.f32 x (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) (*.f32 1/120 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4)))))
(+.f32 x (fma.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)) (*.f32 (*.f32 1/120 (pow.f32 x 5)) (pow.f32 (PI.f32) 4))))
(+.f32 x (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 6))) (*.f32 1/120 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4))))))
(+.f32 x (fma.f32 -1/6 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)) (fma.f32 -1/5040 (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 6)) (*.f32 (*.f32 1/120 (pow.f32 x 5)) (pow.f32 (PI.f32) 4)))))
(*.f32 (pow.f32 x 2) (-.f32 (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (-.f32 tau 1) 2))) (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 1 tau) 2)))))
(*.f32 (*.f32 x x) (*.f32 -1/2 (-.f32 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 tau -1) 2)) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 tau 1) 2)))))
(+.f32 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (-.f32 tau 1) 2))) (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 1 tau) 2))))) (*.f32 (pow.f32 x 4) (-.f32 (*.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (-.f32 tau 1) 4))) (*.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 1 tau) 4))))))
(fma.f32 (*.f32 x x) (*.f32 -1/2 (-.f32 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 tau -1) 2)) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 tau 1) 2)))) (*.f32 (pow.f32 x 4) (*.f32 1/24 (-.f32 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 tau -1) 4)) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 tau 1) 4))))))
(+.f32 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (-.f32 tau 1) 2))) (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 1 tau) 2))))) (+.f32 (*.f32 (pow.f32 x 4) (-.f32 (*.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (-.f32 tau 1) 4))) (*.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 1 tau) 4))))) (*.f32 (pow.f32 x 6) (-.f32 (*.f32 -1/720 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (-.f32 tau 1) 6))) (*.f32 -1/720 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (+.f32 1 tau) 6)))))))
(fma.f32 (*.f32 x x) (*.f32 -1/2 (-.f32 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 tau -1) 2)) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 tau 1) 2)))) (fma.f32 (pow.f32 x 4) (*.f32 1/24 (-.f32 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 tau -1) 4)) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 tau 1) 4)))) (*.f32 (pow.f32 x 6) (*.f32 -1/720 (-.f32 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (+.f32 tau -1) 6)) (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (+.f32 tau 1) 6)))))))
(+.f32 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (-.f32 tau 1) 2))) (*.f32 -1/2 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 1 tau) 2))))) (+.f32 (*.f32 (pow.f32 x 4) (-.f32 (*.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (-.f32 tau 1) 4))) (*.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 1 tau) 4))))) (+.f32 (*.f32 (pow.f32 x 6) (-.f32 (*.f32 -1/720 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (-.f32 tau 1) 6))) (*.f32 -1/720 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (+.f32 1 tau) 6))))) (*.f32 (pow.f32 x 8) (-.f32 (*.f32 1/40320 (*.f32 (pow.f32 (PI.f32) 8) (pow.f32 (-.f32 tau 1) 8))) (*.f32 1/40320 (*.f32 (pow.f32 (PI.f32) 8) (pow.f32 (+.f32 1 tau) 8))))))))
(fma.f32 (*.f32 x x) (*.f32 -1/2 (-.f32 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 tau -1) 2)) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (+.f32 tau 1) 2)))) (fma.f32 (pow.f32 x 4) (*.f32 1/24 (-.f32 (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 tau -1) 4)) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (+.f32 tau 1) 4)))) (fma.f32 (pow.f32 x 6) (*.f32 -1/720 (-.f32 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (+.f32 tau -1) 6)) (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (+.f32 tau 1) 6)))) (*.f32 (pow.f32 x 8) (*.f32 1/40320 (-.f32 (*.f32 (pow.f32 (PI.f32) 8) (pow.f32 (+.f32 tau -1) 8)) (*.f32 (pow.f32 (PI.f32) 8) (pow.f32 (+.f32 tau 1) 8))))))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 x (*.f32 tau x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 -1 x) (*.f32 tau x)))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) (*.f32 -1 x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau -1)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 -1 x) (*.f32 tau x)))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) (*.f32 -1 x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau -1)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 -1 x) (*.f32 tau x)))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) (*.f32 -1 x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau -1)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 -1 x) (*.f32 tau x)))) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) (*.f32 -1 x)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau -1)))))
(-.f32 (cos.f32 (*.f32 -1 (*.f32 x (PI.f32)))) (cos.f32 (*.f32 x (PI.f32))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (neg.f32 x))) (cos.f32 (*.f32 x (PI.f32))))
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(*.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))))
(fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))
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(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))
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(*.f32 1 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))
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(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))
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(binary64->binary32 (binary32->binary64 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))))
(binary64->binary32 (binary32->binary64 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))))
(binary64->binary32 (binary32->binary64 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))))
(binary64->binary32 (*.f64 (-.f64 (cos.f64 (*.f64 (PI.f32) (-.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 tau)) (binary32->binary64 x)))) (cos.f64 (*.f64 (PI.f32) (+.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 tau)) (binary32->binary64 x))))) (/.f64 1 (*.f64 (binary32->binary64 tau) (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2)))))
(binary64->binary32 (*.f64 (-.f64 (cos.f64 (*.f64 (PI.f32) (-.f64 (*.f64 (binary32->binary64 tau) (binary32->binary64 x)) (binary32->binary64 x)))) (cos.f64 (*.f64 (PI.f32) (fma.f64 (binary32->binary64 x) (binary32->binary64 tau) (binary32->binary64 x))))) (/.f64 1 (*.f64 (binary32->binary64 tau) (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2)))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
(binary32->binary64 (binary64->binary32 (*.f64 (PI.f32) (*.f64 (binary32->binary64 tau) (binary32->binary64 x)))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))))
(binary32->binary64 (binary64->binary32 (*.f64 (PI.f32) (*.f64 (binary32->binary64 tau) (binary32->binary64 x)))))
(binary32->binary64 (*.f32 (binary64->binary32 (binary32->binary64 x)) (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))
(binary32->binary64 (*.f32 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))) (binary64->binary32 (binary32->binary64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))))
(binary32->binary64 (*.f32 (binary64->binary32 (binary32->binary64 x)) (binary64->binary32 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))))
(binary32->binary64 (*.f32 (binary64->binary32 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))) (binary64->binary32 (binary32->binary64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary32->binary64 (binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary32->binary64 (binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 x))))
(binary32->binary64 (*.f32 (binary64->binary32 (binary32->binary64 x)) (PI.f32)))
(binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 tau))))
(binary32->binary64 (binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 tau))))
(binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 x)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (binary32->binary64 x)) (PI.f32)))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 (PI.f32) (*.f32 x tau))))
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(binary64->binary32 (*.f64 (PI.f32) (*.f64 (binary32->binary64 tau) (binary32->binary64 x))))
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(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 x)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (binary32->binary64 tau)))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (binary32->binary64 tau)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (binary32->binary64 x)))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 tau) (binary32->binary64 x)))) (binary32->binary64 x)))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
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(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 x)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))
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(binary64->binary32 (binary32->binary64 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x)))))
(binary64->binary32 (binary32->binary64 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x)))))
(binary64->binary32 (cos.f64 (*.f64 (PI.f32) (-.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 tau)) (binary32->binary64 x)))))
(binary64->binary32 (cos.f64 (*.f64 (PI.f32) (-.f64 (*.f64 (binary32->binary64 tau) (binary32->binary64 x)) (binary32->binary64 x)))))
(binary64->binary32 (binary32->binary64 (+.f32 (*.f32 x tau) x)))
(binary64->binary32 (binary32->binary64 (fma.f32 x tau x)))
(binary64->binary32 (binary32->binary64 (+.f32 (*.f32 x tau) x)))
(binary64->binary32 (binary32->binary64 (fma.f32 x tau x)))
(binary64->binary32 (+.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 tau)) (binary32->binary64 x)))
(binary64->binary32 (fma.f64 (binary32->binary64 x) (binary32->binary64 tau) (binary32->binary64 x)))
(binary64->binary32 (binary32->binary64 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(binary64->binary32 (*.f64 (binary32->binary64 tau) (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2)))
(binary64->binary32 (*.f64 (binary32->binary64 tau) (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2)))
(binary64->binary32 (binary32->binary64 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))))
(binary64->binary32 (binary32->binary64 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))))
(binary64->binary32 (binary32->binary64 (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))))
(binary64->binary32 (binary32->binary64 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))))
(binary64->binary32 (cos.f64 (*.f64 (PI.f32) (+.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 tau)) (binary32->binary64 x)))))
(binary64->binary32 (cos.f64 (*.f64 (PI.f32) (fma.f64 (binary32->binary64 x) (binary32->binary64 tau) (binary32->binary64 x)))))

eval528.0ms (2.6%)

Compiler

Compiled 47154 to 12265 computations (74% saved)

prune513.0ms (2.5%)

Pruning

72 alts after pruning (69 fresh and 3 done)

PrunedKeptTotal
New1388431431
Fresh152641
Picked325
Done112
Total1407721479
Accuracy
99.7%
Counts
1479 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.7%
(/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
65.1%
(/.f32 (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau) (/.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)))) 2)
65.3%
(/.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 3)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
63.9%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))))) (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) 2)
65.4%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau -1))))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
96.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) tau)
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 x tau))
71.4%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
77.1%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))
71.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
96.9%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))))
97.1%
(/.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)))))))
65.1%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
96.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
97.3%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
96.8%
(/.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) (/.f32 (PI.f32) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau x))))
72.4%
(/.f32 (+.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
65.2%
(/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.3%
(/.f32 (*.f32 (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) 3)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2) (neg.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (/.f32 (-.f32 (*.f32 x x) (pow.f32 (*.f32 x tau) 2)) (-.f32 (neg.f32 x) (*.f32 x tau))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.4%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (*.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))) 2)
65.4%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau 1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (log.f32 (exp.f32 (-.f32 (*.f32 x tau) x))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
96.8%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) -2)))
96.9%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) x))))
97.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
96.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) -2))))
65.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.1%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32))))
65.3%
(/.f32 (log.f32 (exp.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
65.2%
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
96.9%
(/.f32 1 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
65.6%
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
65.6%
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))))
97.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
65.0%
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (/.f32 1 x) (PI.f32)))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) (cbrt.f32 (*.f32 (PI.f32) tau))) (cbrt.f32 (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 x (/.f32 1 (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 tau (/.f32 1 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (PI.f32)) (/.f32 1 tau))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
65.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
65.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
71.3%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
81.4%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))) tau))
65.1%
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
65.2%
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
65.1%
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
80.1%
(*.f32 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
80.2%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
97.1%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
44.0%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
65.0%
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
96.5%
(log.f32 (exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))
96.3%
(log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))))
98.2%
(binary64->binary32 (/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2) (binary32->binary64 tau))))
64.4%
1
66.7%
(/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
65.1%
(/.f32 (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau) (/.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)))) 2)
65.3%
(/.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 3)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
63.9%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))))) (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) 2)
65.4%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau -1))))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
96.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) tau)
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 x tau))
71.4%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
77.1%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))
71.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
96.9%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))))
97.1%
(/.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)))))))
65.1%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
96.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
97.3%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
96.8%
(/.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) (/.f32 (PI.f32) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau x))))
72.4%
(/.f32 (+.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
65.2%
(/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.3%
(/.f32 (*.f32 (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) 3)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2) (neg.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (/.f32 (-.f32 (*.f32 x x) (pow.f32 (*.f32 x tau) 2)) (-.f32 (neg.f32 x) (*.f32 x tau))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.4%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (*.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))) 2)
65.4%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau 1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (log.f32 (exp.f32 (-.f32 (*.f32 x tau) x))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
96.8%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) -2)))
96.9%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) x))))
97.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
96.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) -2))))
65.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.1%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32))))
65.3%
(/.f32 (log.f32 (exp.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
65.2%
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
96.9%
(/.f32 1 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
65.6%
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
65.6%
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))))
97.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
65.0%
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (/.f32 1 x) (PI.f32)))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) (cbrt.f32 (*.f32 (PI.f32) tau))) (cbrt.f32 (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 x (/.f32 1 (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 tau (/.f32 1 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (PI.f32)) (/.f32 1 tau))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
65.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
65.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
71.3%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
81.4%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))) tau))
65.1%
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
65.2%
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
65.1%
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
80.1%
(*.f32 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
80.2%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
97.1%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
44.0%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
65.0%
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
96.5%
(log.f32 (exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))
96.3%
(log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))))
98.2%
(binary64->binary32 (/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2) (binary32->binary64 tau))))
64.4%
1
Compiler

Compiled 7362 to 4244 computations (42.4% saved)

localize592.0ms (2.9%)

Localize:

Found 40 expressions with local error:

NewAccuracyProgram
99.1%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)
99.1%
(*.f32 x (PI.f32))
99.3%
(*.f32 tau (*.f32 x (PI.f32)))
99.6%
(exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
98.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
99.0%
(sin.f32 (*.f32 x (PI.f32)))
99.1%
(*.f32 x (PI.f32))
99.3%
(*.f32 x (*.f32 x tau))
99.1%
(*.f32 x (PI.f32))
99.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
99.3%
(*.f32 tau (*.f32 x (PI.f32)))
99.7%
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)))
98.5%
(pow.f32 (*.f32 x (PI.f32)) 2)
98.8%
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
99.1%
(*.f32 x (PI.f32))
99.8%
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
99.0%
(sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))
99.2%
(*.f64 (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2) (binary32->binary64 tau))
99.3%
(*.f64 (PI.f32) (binary32->binary64 x))
99.3%
(*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))
98.7%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
98.6%
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
98.5%
(pow.f32 (*.f32 x (PI.f32)) 2)
97.5%
(log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))))
98.8%
(*.f32 (PI.f32) (*.f32 x tau))
98.8%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
98.6%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
99.0%
(sin.f32 (*.f32 x (PI.f32)))
98.9%
(*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
98.3%
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
99.8%
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
99.1%
(*.f32 x (PI.f32))
98.8%
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
98.5%
(pow.f32 (*.f32 x (PI.f32)) 2)
98.9%
(sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x)))
98.7%
(/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2) (binary32->binary64 tau)))
98.6%
(pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2)
17.0%
(binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))
Compiler

Compiled 424 to 101 computations (76.2% saved)

series14.0ms (0.1%)

Counts
9 → 144
Calls

45 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
1.0ms
x
@0
(*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))
1.0ms
x
@inf
(*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))
1.0ms
tau
@0
(*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))
1.0ms
tau
@inf
(*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))

rewrite225.0ms (1.1%)

Algorithm
rewrite-once
batch-egg-rewrite
Rules
543×times-frac
425×frac-times
402×associate-*l*
396×associate-*r*
384×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045307
1156303
2914303
Stop Event
node limit
Counts
9 → 600
Calls
Call 1
Inputs
(pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2)
(/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2) (binary32->binary64 tau)))
(sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x)))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))
(log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))))
Outputs
(*.f64 (PI.f32) (*.f64 (PI.f32) (pow.f64 (binary32->binary64 x) 2)))
(*.f64 (PI.f32) (pow.f64 (*.f64 (PI.f32) (pow.f64 (binary32->binary64 x) 2)) 1))
(*.f64 (binary32->binary64 x) (*.f64 (binary32->binary64 x) (pow.f64 (PI.f32) 2)))
(*.f64 (binary32->binary64 x) (pow.f64 (*.f64 (binary32->binary64 x) (pow.f64 (PI.f32) 2)) 1))
(*.f64 (*.f64 (PI.f32) (binary32->binary64 x)) (*.f64 (PI.f32) (binary32->binary64 x)))
(*.f64 (pow.f64 (PI.f32) 2) (pow.f64 (binary32->binary64 x) 2))
(*.f64 (pow.f64 (binary32->binary64 x) 2) (pow.f64 (PI.f32) 2))
(*.f64 (sqrt.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (*.f64 (sqrt.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (*.f64 (PI.f32) (binary32->binary64 x))))
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(/.f32 -1 (*.f32 (/.f32 tau (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 -1 (*.f32 (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 -1 (neg.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 (PI.f32) x) -2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) x) (*.f32 (/.f32 tau (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 x -2)) (*.f32 (/.f32 tau (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (PI.f32) 2)))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (*.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)) 2))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))) (/.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))) (/.f32 1 (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x -2)) (pow.f32 (PI.f32) 2))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) 1) (*.f32 2 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) -1) (*.f32 (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)) (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) x) 1) (*.f32 (*.f32 (PI.f32) x) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 tau)))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) x) -1) (*.f32 (*.f32 (PI.f32) x) (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 x -2)) 1) (*.f32 (pow.f32 (PI.f32) 2) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 x -2)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (pow.f32 (PI.f32) 2)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 x -2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (pow.f32 (PI.f32) 2) (neg.f32 tau)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 x -2)) -1) (*.f32 (pow.f32 (PI.f32) 2) (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 1 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) x)) (*.f32 (/.f32 tau (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 1 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 x -2))) (*.f32 (/.f32 tau (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (PI.f32) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 x -2))) (*.f32 tau (pow.f32 (PI.f32) 2)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) -1) (*.f32 (neg.f32 tau) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) x)) (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 x -2))) (*.f32 (neg.f32 tau) (pow.f32 (PI.f32) 2)))
(/.f32 (*.f32 -1 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) x)) (*.f32 (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 -1 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 x -2))) (*.f32 (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (PI.f32) 2)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) 1) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) -1) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (/.f32 1 (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x -2)) (*.f32 tau (pow.f32 (PI.f32) 2)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) 1) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) -1) (*.f32 (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)) (neg.f32 tau)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (/.f32 (/.f32 1 (PI.f32)) x)) (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) (pow.f32 x -2)) (*.f32 (neg.f32 tau) (pow.f32 (PI.f32) 2)))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) x)) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 (PI.f32) x) -2))) (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (*.f32 (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)) (neg.f32 tau))))
(/.f32 (neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 (PI.f32) x) -2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))) tau)
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x))))) (pow.f32 (*.f32 (PI.f32) x) 2))
(/.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))) (*.f32 (PI.f32) (neg.f32 x)))
(/.f32 (neg.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x -2))) (neg.f32 (pow.f32 (PI.f32) 2)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (*.f32 tau (pow.f32 (PI.f32) 2)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) -2))) 1) tau)
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) 1) (pow.f32 (*.f32 (PI.f32) x) 2))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) -1) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 (PI.f32) x) -2)) -1) (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 x -2))) (pow.f32 (PI.f32) 2))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) -2))) -1) (neg.f32 tau))
(/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) -1) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 x -2)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (pow.f32 (PI.f32) 2))
(/.f32 (*.f32 -1 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 -1 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 (PI.f32) x) -2))) (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)) 2)
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (PI.f32) 2)))) (*.f32 x x))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (*.f32 (PI.f32) (*.f32 x x)))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) x) (*.f32 x (pow.f32 (PI.f32) 2)))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (PI.f32) 2)) (*.f32 x x))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (pow.f32 (PI.f32) 2))) x)
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))
(/.f32 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 (PI.f32) x) -2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x)))) -1) tau)
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (neg.f32 x)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 x x)) (neg.f32 (pow.f32 (PI.f32) 2)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x)))) -1) (pow.f32 (*.f32 (PI.f32) x) 2))
(/.f32 (/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)) x)
(/.f32 (/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) x) (PI.f32))
(/.f32 (/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (sqrt.f32 (*.f32 (PI.f32) x))) (sqrt.f32 (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x -2)) (PI.f32)) (PI.f32))
(pow.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))) -1)
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 (PI.f32) x) -2))))
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 (PI.f32) x) -2)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2)))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) -2))) (neg.f32 tau)))
(neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) 2))))
Calls

38 calls:

1.0ms
(pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2)
0.0ms
(pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2)
0.0ms
(sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x)))
0.0ms
(/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2) (binary32->binary64 tau)))
0.0ms
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))

simplify372.0ms (1.8%)

Algorithm
egg-herbie
Rules
1851×times-frac
584×*-commutative
292×unswap-sqr
271×fma-def
241×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0142441432
1426039148
Stop Event
node limit
Counts
744 → 839
Calls
Call 1
Inputs
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
1
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 tau x)
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)))) (*.f32 tau x))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4)))) (*.f32 tau x)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 6)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4)))) (*.f32 tau x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(*.f32 tau x)
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)))) (*.f32 tau x))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4)))) (*.f32 tau x)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 7) (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 6)))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 5) (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4)))) (*.f32 tau x))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 5) (*.f32 (pow.f32 (PI.f32) 5) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (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 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
1
(+.f32 1 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4))))))))
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4)))))) (*.f32 (pow.f32 x 6) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (pow.f32 (PI.f32) 6))) (*.f32 -1/5040 (pow.f32 (PI.f32) 6)))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f64 (PI.f32) (*.f64 (PI.f32) (pow.f64 (binary32->binary64 x) 2)))
(*.f64 (PI.f32) (pow.f64 (*.f64 (PI.f32) (pow.f64 (binary32->binary64 x) 2)) 1))
(*.f64 (binary32->binary64 x) (*.f64 (binary32->binary64 x) (pow.f64 (PI.f32) 2)))
(*.f64 (binary32->binary64 x) (pow.f64 (*.f64 (binary32->binary64 x) (pow.f64 (PI.f32) 2)) 1))
(*.f64 (*.f64 (PI.f32) (binary32->binary64 x)) (*.f64 (PI.f32) (binary32->binary64 x)))
(*.f64 (pow.f64 (PI.f32) 2) (pow.f64 (binary32->binary64 x) 2))
(*.f64 (pow.f64 (binary32->binary64 x) 2) (pow.f64 (PI.f32) 2))
(*.f64 (sqrt.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (*.f64 (sqrt.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (*.f64 (PI.f32) (binary32->binary64 x))))
(*.f64 (*.f64 (PI.f32) (pow.f64 (binary32->binary64 x) 2)) (PI.f32))
(*.f64 (*.f64 (binary32->binary64 x) (pow.f64 (PI.f32) 2)) (binary32->binary64 x))
(*.f64 (pow.f64 (*.f64 (PI.f32) (pow.f64 (binary32->binary64 x) 2)) 1) (PI.f32))
(*.f64 (pow.f64 (*.f64 (binary32->binary64 x) (pow.f64 (PI.f32) 2)) 1) (binary32->binary64 x))
(*.f64 (*.f64 (*.f64 (PI.f32) (binary32->binary64 x)) (sqrt.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (sqrt.f64 (*.f64 (PI.f32) (binary32->binary64 x))))
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(binary32->binary64 (binary64->binary32 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))))
(binary32->binary64 (sin.f32 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 x)))))
(binary64->binary32 (binary32->binary64 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))))
(binary64->binary32 (binary32->binary64 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))))
(binary64->binary32 (+.f64 1 (*.f64 -1/6 (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))))
(binary64->binary32 (binary32->binary64 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))))
(binary64->binary32 (*.f64 -1/6 (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2)))
(binary64->binary32 (binary32->binary64 (pow.f32 (*.f32 x (PI.f32)) 2)))
(binary64->binary32 (binary32->binary64 (pow.f32 (*.f32 x (PI.f32)) 2)))
(binary64->binary32 (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2))
(binary64->binary32 (binary32->binary64 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)))))
(binary64->binary32 (binary32->binary64 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)))))
(binary64->binary32 (+.f64 1 (*.f64 -1/6 (pow.f64 (*.f64 (binary32->binary64 tau) (*.f64 (binary32->binary64 x) (PI.f32))) 2))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (*.f64 (binary32->binary64 tau) (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))))
(binary64->binary32 (binary32->binary64 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))))
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (PI.f32))) (+.f64 1 (*.f64 -1/6 (pow.f64 (*.f64 (binary32->binary64 tau) (*.f64 (binary32->binary64 x) (PI.f32))) 2)))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (*.f32 x (*.f32 x tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (*.f32 x tau))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (*.f64 (binary32->binary64 x) (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 x (PI.f32)))))
(binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (PI.f32)) (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (PI.f32))))
(binary64->binary32 (binary32->binary64 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))))
(binary64->binary32 (binary32->binary64 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))))
(binary64->binary32 (exp.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 tau) (*.f64 (binary32->binary64 x) (PI.f32)))) (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2)) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (binary32->binary64 tau)))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (*.f64 (binary32->binary64 tau) (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (binary32->binary64 tau)))
Outputs
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau))))))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
1
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1)
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1)
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1)
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1)
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1)
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1)
(*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2))
(*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1)
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1)
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2))
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
(*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) 2)))
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1
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(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
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eval446.0ms (2.2%)

Compiler

Compiled 38674 to 13567 computations (64.9% saved)

prune604.0ms (2.9%)

Pruning

88 alts after pruning (81 fresh and 7 done)

PrunedKeptTotal
New1486301516
Fresh135164
Picked145
Done033
Total1500881588
Accuracy
99.7%
Counts
1588 → 88
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
65.6%
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
65.6%
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
65.6%
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
66.7%
(/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
96.7%
(/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) (/.f32 (/.f32 tau (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
65.1%
(/.f32 (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau) (/.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)))) 2)
65.3%
(/.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 3)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
63.9%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))))) (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) 2)
65.4%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau -1))))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
96.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) tau)
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 x tau))
71.4%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
71.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
97.1%
(/.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)))))))
65.1%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
96.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
97.3%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
96.8%
(/.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) (/.f32 (PI.f32) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau x))))
72.4%
(/.f32 (+.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
65.2%
(/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.3%
(/.f32 (*.f32 (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) 3)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2) (neg.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
96.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 1 tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
96.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (/.f32 x (/.f32 1 (*.f32 (PI.f32) tau)))) (PI.f32))) (*.f32 x (*.f32 x tau)))
96.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32))) (*.f32 x (*.f32 x tau)))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
81.4%
(/.f32 (*.f32 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (/.f32 (-.f32 (*.f32 x x) (pow.f32 (*.f32 x tau) 2)) (-.f32 (neg.f32 x) (*.f32 x tau))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.4%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (*.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))) 2)
65.4%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau 1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (log.f32 (exp.f32 (-.f32 (*.f32 x tau) x))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) -2))) tau)
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (pow.f32 (*.f32 x (PI.f32)) 2))
77.1%
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
71.5%
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
96.9%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) x))))
96.9%
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
65.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
65.3%
(/.f32 (log.f32 (exp.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
65.2%
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
65.7%
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
96.9%
(/.f32 1 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
65.6%
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
65.6%
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
65.6%
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
96.8%
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
96.8%
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))))
96.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
80.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
65.0%
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
96.6%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) x) (/.f32 (/.f32 1 tau) (*.f32 x (pow.f32 (PI.f32) 2))))
70.3%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) (cbrt.f32 (*.f32 (PI.f32) tau))) (cbrt.f32 (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 tau (/.f32 1 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
65.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
65.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
71.3%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
81.4%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))) tau))
65.1%
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
65.2%
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
65.1%
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
80.1%
(*.f32 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
80.0%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
97.5%
(*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
96.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))
80.2%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
44.0%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
65.0%
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
96.3%
(log.f32 (exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))) (pow.f32 (*.f32 (PI.f32) x) 2))))
64.1%
(log.f32 (exp.f32 1))
98.2%
(binary64->binary32 (/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2) (binary32->binary64 tau))))
97.3%
(binary64->binary32 (/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (binary32->binary64 (pow.f32 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 x))) 2)) (binary32->binary64 tau))))
64.4%
1
65.6%
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
65.6%
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
65.6%
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
65.6%
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
66.7%
(/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
96.7%
(/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) (/.f32 (/.f32 tau (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
65.1%
(/.f32 (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau) (/.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)))) 2)
65.3%
(/.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 3)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
63.9%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))))) (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) 2)
65.4%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau -1))))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
96.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) tau)
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 x tau))
71.4%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
71.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
97.1%
(/.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)))))))
65.1%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
96.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
97.3%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
96.8%
(/.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) (/.f32 (PI.f32) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau x))))
72.4%
(/.f32 (+.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
65.2%
(/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.3%
(/.f32 (*.f32 (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) 3)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2) (neg.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
96.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 1 tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
96.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (/.f32 x (/.f32 1 (*.f32 (PI.f32) tau)))) (PI.f32))) (*.f32 x (*.f32 x tau)))
96.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32))) (*.f32 x (*.f32 x tau)))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
81.4%
(/.f32 (*.f32 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (/.f32 (-.f32 (*.f32 x x) (pow.f32 (*.f32 x tau) 2)) (-.f32 (neg.f32 x) (*.f32 x tau))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.4%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (*.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))) 2)
65.4%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau 1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (log.f32 (exp.f32 (-.f32 (*.f32 x tau) x))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) -2))) tau)
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (pow.f32 (*.f32 x (PI.f32)) 2))
77.1%
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
71.5%
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
96.9%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) x))))
96.9%
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
65.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
65.3%
(/.f32 (log.f32 (exp.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
65.2%
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
65.7%
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
96.9%
(/.f32 1 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
65.6%
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
65.6%
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
65.6%
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
96.8%
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
96.8%
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))))
96.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
80.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
65.0%
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
96.6%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) x) (/.f32 (/.f32 1 tau) (*.f32 x (pow.f32 (PI.f32) 2))))
70.3%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) (cbrt.f32 (*.f32 (PI.f32) tau))) (cbrt.f32 (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 tau (/.f32 1 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
65.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
65.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
71.3%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
81.4%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))) tau))
65.1%
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
65.2%
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
65.1%
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
80.1%
(*.f32 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
80.0%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
97.5%
(*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
96.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))
80.2%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
44.0%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
65.0%
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
96.3%
(log.f32 (exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))) (pow.f32 (*.f32 (PI.f32) x) 2))))
64.1%
(log.f32 (exp.f32 1))
98.2%
(binary64->binary32 (/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2) (binary32->binary64 tau))))
97.3%
(binary64->binary32 (/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (binary32->binary64 (pow.f32 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 x))) 2)) (binary32->binary64 tau))))
64.4%
1
Compiler

Compiled 8400 to 5006 computations (40.4% saved)

localize593.0ms (2.9%)

Localize:

Found 34 expressions with local error:

NewAccuracyProgram
99.1%
(/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau)
99.1%
(*.f32 x (PI.f32))
99.3%
(*.f32 tau (*.f32 x (PI.f32)))
99.9%
(exp.f32 (sin.f32 (*.f32 x (PI.f32))))
98.9%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x)))
99.0%
(sin.f32 (*.f32 (PI.f32) x))
99.1%
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)
99.1%
(*.f32 (PI.f32) x)
98.9%
(*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))
99.1%
(*.f32 x (PI.f32))
99.3%
(*.f32 tau (*.f32 x (PI.f32)))
99.7%
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)))
96.9%
(log.f32 (exp.f32 1))
99.1%
(*.f32 x (PI.f32))
99.2%
(/.f32 1 (*.f32 x (PI.f32)))
99.3%
(*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
99.5%
(*.f32 x (*.f32 (PI.f32) tau))
98.7%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))
98.6%
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
98.5%
(pow.f32 (*.f32 x (PI.f32)) 2)
82.7%
(log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32)))))
98.8%
(*.f32 (PI.f32) (*.f32 x x))
98.8%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32))
98.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
98.6%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
99.3%
(*.f32 tau (*.f32 x (PI.f32)))
99.1%
(*.f32 x (PI.f32))
98.9%
(*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))
98.3%
(pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)
96.9%
(log.f32 (exp.f32 1))
98.9%
(*.f32 (PI.f32) tau)
98.9%
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
98.6%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
98.5%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
Compiler

Compiled 331 to 89 computations (73.1% saved)

series8.0ms (0%)

Counts
8 → 108
Calls

33 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32))
1.0ms
tau
@inf
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32))
0.0ms
x
@-inf
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32))
0.0ms
x
@0
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32))
0.0ms
tau
@0
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32))

rewrite203.0ms (1%)

Algorithm
rewrite-once
batch-egg-rewrite
Rules
737×times-frac
347×frac-2neg
323×associate-*r/
313×associate-*l*
301×frac-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036240
1156224
2921224
36852224
Stop Event
node limit
Counts
8 → 603
Calls
Call 1
Inputs
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(log.f32 (exp.f32 1))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32))
(*.f32 (PI.f32) (*.f32 x x))
(log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))
Outputs
(-.f32 (/.f32 0 (*.f32 x (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 1 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 1 (/.f32 (/.f32 (PI.f32) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 -1 x)))
(/.f32 (/.f32 (/.f32 1 x) (PI.f32)) (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 -1 (*.f32 x (/.f32 (PI.f32) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 -1 (/.f32 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 -1 x) (PI.f32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (neg.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) 1)
(/.f32 (/.f32 1 (PI.f32)) (/.f32 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 1 x)))
(/.f32 (/.f32 1 (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 1 x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 1 x) (/.f32 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 1 (PI.f32))))
(/.f32 (/.f32 -1 x) (/.f32 (PI.f32) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 -1 x) (*.f32 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 -1 x) (PI.f32)) (/.f32 -1 (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (pow.f32 (*.f32 x (PI.f32)) -1/2) (/.f32 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) -1/2)))
(/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) 1/2) (/.f32 (*.f32 x (PI.f32)) (pow.f32 (sin.f32 (*.f32 x (PI.f32))) 1/2)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 -1 x)) (neg.f32 (/.f32 (PI.f32) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) x) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (/.f32 1 x) (PI.f32)) (pow.f32 (sin.f32 (*.f32 x (PI.f32))) -1/2)) (pow.f32 (sin.f32 (*.f32 x (PI.f32))) -1/2))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 1 x) (PI.f32))) -1)
(/.f32 (*.f32 (/.f32 (/.f32 1 x) (PI.f32)) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) -1)
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 -1 x)) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 -1 x) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (PI.f32)))
(/.f32 (*.f32 -1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (neg.f32 (PI.f32)))
(/.f32 (-.f32 (*.f32 0 (*.f32 x (neg.f32 (PI.f32)))) (*.f32 (*.f32 x (neg.f32 (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (pow.f32 (*.f32 x (PI.f32)) 2))
(pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) -1)
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (/.f32 (/.f32 1 x) (PI.f32)) (/.f32 -1 (sin.f32 (*.f32 x (PI.f32))))))
(neg.f32 (*.f32 (/.f32 (/.f32 -1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) -1))
(exp.f32 (+.f32 (*.f32 -1 (log.f32 (*.f32 x (PI.f32)))) (log.f32 (sin.f32 (*.f32 x (PI.f32))))))
(exp.f32 (+.f32 (log.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 -1 (log.f32 (*.f32 x (PI.f32))))))
(exp.f32 (-.f32 (*.f32 -1 (log.f32 (*.f32 x (PI.f32)))) (neg.f32 (log.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(exp.f32 (-.f32 (log.f32 (sin.f32 (*.f32 x (PI.f32)))) (log.f32 (*.f32 x (PI.f32)))))
1
(/.f32 tau (/.f32 (/.f32 1 x) (PI.f32)))
(/.f32 (*.f32 x (*.f32 (PI.f32) tau)) 1)
(/.f32 (*.f32 x tau) (/.f32 1 (PI.f32)))
(/.f32 (*.f32 (PI.f32) tau) (/.f32 1 x))
(/.f32 (*.f32 tau (*.f32 x (neg.f32 (PI.f32)))) -1)
(/.f32 (*.f32 (*.f32 x (neg.f32 (PI.f32))) tau) -1)
(-.f32 (/.f32 0 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 1 (*.f32 tau (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 1 (/.f32 (*.f32 tau (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))) 1))
(/.f32 1 (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))))
(/.f32 1 (/.f32 (*.f32 (neg.f32 (pow.f32 (*.f32 x (PI.f32)) 2)) (neg.f32 tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 1 (/.f32 (*.f32 (PI.f32) tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (PI.f32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) 1))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 1 tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 1 (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (PI.f32) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (pow.f32 x -2) (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) 1))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 1 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (pow.f32 x -2) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) -2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (PI.f32))) (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (*.f32 x (PI.f32)) -2)) (/.f32 tau (sin.f32 (*.f32 x (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)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (pow.f32 (*.f32 x (PI.f32)) 2)) (neg.f32 tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (/.f32 1 tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 x (neg.f32 (PI.f32)))) (neg.f32 tau))))
(/.f32 -1 (neg.f32 (*.f32 tau (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 -1 (/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 -1 (/.f32 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 -1 (*.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 -1 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 -1 (*.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 tau (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 -1 (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) (/.f32 tau (neg.f32 (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 -1 (*.f32 (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (/.f32 (PI.f32) (pow.f32 x -2)) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 -1 (*.f32 (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 -1 (*.f32 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 -1 (*.f32 tau (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 -1 tau)))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) 1))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) -1))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) (neg.f32 tau))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (pow.f32 x -2) (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (/.f32 -1 (pow.f32 (*.f32 x (PI.f32)) 2))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))) 1))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 -1 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 -1 (PI.f32))))
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(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (pow.f32 x -2) (PI.f32)))) -1) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau)) -1) (neg.f32 (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (PI.f32) 2))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x x))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 x -2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)) (pow.f32 (PI.f32) 2))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 x (pow.f32 (PI.f32) 2))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) 1) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 (PI.f32)))
(/.f32 (*.f32 -1 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (pow.f32 (*.f32 x (PI.f32)) -2))) (/.f32 -1 (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 -1 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (PI.f32)))) (*.f32 (PI.f32) (/.f32 tau (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (PI.f32)))) (neg.f32 tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau))) (*.f32 x (neg.f32 x)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau)) (/.f32 -1 (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau 1)))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau)) 2)
(/.f32 (*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) -2)) (/.f32 1 tau)) (/.f32 -1 (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (/.f32 1 (PI.f32))) (*.f32 tau (*.f32 x x)))
(/.f32 (*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (/.f32 1 (PI.f32))) (*.f32 (*.f32 x x) (neg.f32 tau)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (PI.f32)))) (/.f32 1 (PI.f32))) tau)
(/.f32 (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 1 (PI.f32))) (neg.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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau)) x) (*.f32 x (pow.f32 (PI.f32) 2)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (*.f32 x x)) (neg.f32 (pow.f32 (PI.f32) 2)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (*.f32 x (PI.f32)) -2)) (neg.f32 tau)) (/.f32 -1 (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (PI.f32)) (PI.f32)) (*.f32 x (neg.f32 x)))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (PI.f32)) (*.f32 x (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (PI.f32)) -1) (/.f32 (PI.f32) (pow.f32 x -2)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (sqrt.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32))))
(/.f32 (-.f32 (*.f32 0 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(pow.f32 (*.f32 tau (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))) -1)
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (*.f32 x (PI.f32)) -2))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (PI.f32)))))
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau))))
(neg.f32 (*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) -2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) -2))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (neg.f32 (PI.f32))))))
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 tau)))))
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (*.f32 x (PI.f32)) -2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 tau))) (*.f32 (PI.f32) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (neg.f32 (PI.f32)))) (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))))
(neg.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) -2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (*.f32 x (*.f32 x (neg.f32 (PI.f32))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (pow.f32 x -2) (PI.f32)))) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (*.f32 x (PI.f32)) -2))) (neg.f32 tau)))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau)) (neg.f32 (pow.f32 (*.f32 x (PI.f32)) 2))))
Calls

33 calls:

1.0ms
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
0.0ms
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
0.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))
0.0ms
(log.f32 (exp.f32 1))
0.0ms
(*.f32 (PI.f32) (*.f32 x x))

simplify322.0ms (1.6%)

Algorithm
egg-herbie
Rules
686×associate-*r/
611×associate-*l/
556×associate-/r/
279×*-commutative
206×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101537919
1310036203
Stop Event
node limit
Counts
711 → 603
Calls
Call 1
Inputs
1
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (*.f32 1/120 (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))) (*.f32 1/120 (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(/.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)))
1
(+.f32 1 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4))))))))
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4)))))) (*.f32 (pow.f32 x 6) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 6))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (pow.f32 (PI.f32) 6))) (*.f32 -1/5040 (pow.f32 (PI.f32) 6)))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 5) (*.f32 (pow.f32 (PI.f32) 5) (sin.f32 (*.f32 x (PI.f32))))))) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (*.f32 (pow.f32 x 3) (*.f32 (pow.f32 (PI.f32) 3) (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 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(/.f32 x tau)
(+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)) tau)) (/.f32 x tau))
(+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)) tau)) (+.f32 (*.f32 1/120 (/.f32 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4)) tau)) (/.f32 x tau)))
(+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)) tau)) (+.f32 (*.f32 -1/5040 (/.f32 (*.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 6)) tau)) (+.f32 (*.f32 1/120 (/.f32 (*.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4)) tau)) (/.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
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1
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1
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(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (PI.f32)))) (/.f32 1 (PI.f32))) tau)
(/.f32 (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 1 (PI.f32))) (neg.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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau)) x) (*.f32 x (pow.f32 (PI.f32) 2)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (*.f32 x x)) (neg.f32 (pow.f32 (PI.f32) 2)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (*.f32 x (PI.f32)) -2)) (neg.f32 tau)) (/.f32 -1 (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (PI.f32)) (PI.f32)) (*.f32 x (neg.f32 x)))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (PI.f32)) (*.f32 x (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (PI.f32)) -1) (/.f32 (PI.f32) (pow.f32 x -2)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (sqrt.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32))))
(/.f32 (-.f32 (*.f32 0 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(pow.f32 (*.f32 tau (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))) -1)
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (*.f32 x (PI.f32)) -2))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (PI.f32)))))
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau))))
(neg.f32 (*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) -2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) -2))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (neg.f32 (PI.f32))))))
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 tau)))))
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (*.f32 x (PI.f32)) -2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 tau))) (*.f32 (PI.f32) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 x -2) (neg.f32 (PI.f32)))) (*.f32 (PI.f32) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))))
(neg.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (*.f32 x (PI.f32)) -2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))) (*.f32 x (*.f32 x (neg.f32 (PI.f32))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (pow.f32 x -2) (PI.f32)))) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) (neg.f32 tau))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (*.f32 x (PI.f32)) -2))) (neg.f32 tau)))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau)) (neg.f32 (pow.f32 (*.f32 x (PI.f32)) 2))))
(exp.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))))
(log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))) (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))) (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau)))) (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))))
(cbrt.f32 (*.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))))
(*.f32 1 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau)))
(pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau)) 1)
(binary64->binary32 (binary32->binary64 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))))
(binary64->binary32 (binary32->binary64 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))))
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 tau) (*.f64 (binary32->binary64 x) (PI.f32)))) (pow.f64 (*.f64 (binary32->binary64 x) (PI.f32)) 2)) (/.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))) (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (*.f32 (PI.f32) tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (*.f32 (PI.f32) tau))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(binary64->binary32 (binary32->binary64 (*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(binary64->binary32 (*.f64 (*.f64 (/.f64 1 (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 1 (/.f64 1 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))))
(binary64->binary32 (binary32->binary64 (/.f32 1 (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (/.f32 1 (*.f32 x (PI.f32)))))
(binary64->binary32 (/.f64 1 (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (log.f32 (exp.f32 1))))
(binary64->binary32 (binary32->binary64 (log.f32 (exp.f32 1))))
(binary64->binary32 (log.f64 (exp.f64 1)))
(binary64->binary32 (binary32->binary64 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)))))
(binary64->binary32 (binary32->binary64 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2)))))
(binary64->binary32 (+.f64 1 (*.f64 -1/6 (pow.f64 (*.f64 (binary32->binary64 tau) (*.f64 (binary32->binary64 x) (PI.f32))) 2))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (*.f64 (binary32->binary64 tau) (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(binary64->binary32 (binary32->binary64 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(binary64->binary32 (*.f64 -1/6 (pow.f64 (*.f64 (binary32->binary64 tau) (*.f64 (binary32->binary64 x) (PI.f32))) 2)))
(binary64->binary32 (binary32->binary64 (*.f32 (PI.f32) x)))
(binary64->binary32 (binary32->binary64 (*.f32 (PI.f32) x)))
(binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 x)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (binary32->binary64 tau)))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 (PI.f32) x))))
(binary64->binary32 (binary32->binary64 (sin.f32 (*.f32 (PI.f32) x))))
(binary64->binary32 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x)))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x)))))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 x)))))
(binary64->binary32 (binary32->binary64 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))))
(binary64->binary32 (binary32->binary64 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))))
(binary64->binary32 (exp.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (*.f64 (binary32->binary64 tau) (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (binary32->binary64 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau)))
(binary64->binary32 (binary32->binary64 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau)))
(binary64->binary32 (/.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))) (binary32->binary64 tau)))
Outputs
1
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 x x))))
(fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1)
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (*.f32 1/120 (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (fma.f32 -1/6 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 x x)) (*.f32 1/120 (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))))
(+.f32 (fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1) (*.f32 (*.f32 1/120 (pow.f32 x 4)) (pow.f32 (PI.f32) 4)))
(+.f32 1 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 -1/5040 (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))) (*.f32 1/120 (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (fma.f32 -1/6 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 x x)) (fma.f32 -1/5040 (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)) (*.f32 1/120 (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1) (fma.f32 1/120 (*.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)) (*.f32 (*.f32 -1/5040 (pow.f32 x 6)) (pow.f32 (PI.f32) 6))))
(/.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)))
1
(+.f32 1 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2))) (*.f32 x x)))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 2))) (*.f32 -1/6 (pow.f32 (PI.f32) 2)))) (*.f32 (pow.f32 x 4) (+.f32 (*.f32 1/120 (*.f32 (pow.f32 tau 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 1/120 (pow.f32 (PI.f32) 4)) (*.f32 1/36 (*.f32 (pow.f32 tau 2) (pow.f32 (PI.f32) 4))))))))
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(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x)))))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x x)))))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau)))) (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 x)))))
(binary64->binary32 (binary32->binary64 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))))
(binary64->binary32 (binary32->binary64 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))))
(binary64->binary32 (exp.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))))
(binary64->binary32 (exp.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 x (*.f32 (PI.f32) tau))))
(binary64->binary32 (binary32->binary64 (*.f32 (PI.f32) (*.f32 x tau))))
(binary64->binary32 (binary32->binary64 (*.f32 tau (*.f32 x (PI.f32)))))
(binary64->binary32 (binary32->binary64 (*.f32 x (*.f32 (PI.f32) tau))))
(binary64->binary32 (binary32->binary64 (*.f32 (PI.f32) (*.f32 x tau))))
(binary64->binary32 (*.f64 (binary32->binary64 tau) (*.f64 (binary32->binary64 x) (PI.f32))))
(binary64->binary32 (*.f64 (PI.f32) (*.f64 (binary32->binary64 x) (binary32->binary64 tau))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (binary32->binary64 (*.f32 x (PI.f32))))
(binary64->binary32 (*.f64 (binary32->binary64 x) (PI.f32)))
(binary64->binary32 (*.f64 (PI.f32) (binary32->binary64 x)))
(binary64->binary32 (binary32->binary64 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
(binary64->binary32 (binary32->binary64 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau)))
(binary64->binary32 (binary32->binary64 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)))
(binary64->binary32 (/.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))))) (binary32->binary64 tau)))
(binary64->binary32 (/.f64 (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x))) (binary32->binary64 tau)))

eval290.0ms (1.4%)

Compiler

Compiled 28697 to 9077 computations (68.4% saved)

prune354.0ms (1.7%)

Pruning

90 alts after pruning (82 fresh and 8 done)

PrunedKeptTotal
New1085141099
Fresh86876
Picked325
Done167
Total1097901187
Accuracy
99.8%
Counts
1187 → 90
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
65.6%
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
65.6%
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
79.6%
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
65.6%
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
66.7%
(/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
65.1%
(/.f32 (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau) (/.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)))) 2)
65.3%
(/.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 3)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
63.9%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))))) (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) 2)
65.4%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau -1))))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
96.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) tau)
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 x tau))
71.4%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
71.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
65.1%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
96.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
97.3%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
96.8%
(/.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) (/.f32 (PI.f32) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau x))))
65.6%
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau (neg.f32 x)))) (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 1 tau))))) (/.f32 2 (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau)))
72.4%
(/.f32 (+.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
96.7%
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 x (pow.f32 (PI.f32) 2))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)
65.2%
(/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.3%
(/.f32 (*.f32 (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) 3)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2) (neg.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
96.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 1 tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
96.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (/.f32 x (/.f32 1 (*.f32 (PI.f32) tau)))) (PI.f32))) (*.f32 x (*.f32 x tau)))
96.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32))) (*.f32 x (*.f32 x tau)))
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (/.f32 (-.f32 (*.f32 x x) (pow.f32 (*.f32 x tau) 2)) (-.f32 (neg.f32 x) (*.f32 x tau))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.6%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau 1)))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau)) 2)
65.4%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (*.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))) 2)
65.4%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau 1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
65.3%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (log.f32 (exp.f32 (-.f32 (*.f32 x tau) x))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) -2))) tau)
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau)) (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (pow.f32 (*.f32 x (PI.f32)) 2))
77.1%
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
71.5%
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
96.9%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) x))))
96.9%
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
97.0%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 x (PI.f32)))))
65.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
65.2%
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
65.7%
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
96.9%
(/.f32 1 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
79.6%
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
65.6%
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
65.6%
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
65.6%
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
96.8%
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
96.8%
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))))
96.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
80.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
65.0%
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
97.4%
(*.f32 (/.f32 (/.f32 1 x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
70.3%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (/.f32 (*.f32 x (neg.f32 (PI.f32))) (/.f32 -1 tau)) 2))))
70.3%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
70.3%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) (cbrt.f32 (*.f32 (PI.f32) tau))) (cbrt.f32 (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 tau (/.f32 1 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
80.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x x)) tau)))
65.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
65.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
71.3%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
71.1%
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
65.1%
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
65.1%
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
80.1%
(*.f32 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
85.8%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
80.0%
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
97.0%
(*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
96.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))
80.2%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
44.0%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
65.0%
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
71.5%
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
96.3%
(log.f32 (exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))) (pow.f32 (*.f32 (PI.f32) x) 2))))
64.1%
(log.f32 (exp.f32 1))
98.2%
(binary64->binary32 (/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2) (binary32->binary64 tau))))
97.3%
(binary64->binary32 (/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (binary32->binary64 (pow.f32 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 x))) 2)) (binary32->binary64 tau))))
64.4%
1
Compiler

Compiled 5326 to 2244 computations (57.9% saved)

regimes313.0ms (1.5%)

Counts
139 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (/.f32 (*.f32 x (neg.f32 (PI.f32))) (/.f32 -1 tau)) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 tau tau)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) -2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) -2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (pow.f32 (*.f32 x (PI.f32)) 2))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) -2))) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) tau)
(/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) (/.f32 (/.f32 tau (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) (*.f32 x 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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x x)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))))
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.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 (PI.f32) (*.f32 (*.f32 x tau) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau)) (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 x (pow.f32 (PI.f32) 2))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.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 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.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))) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 x tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (PI.f32)) (/.f32 1 tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 tau (/.f32 1 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 x (/.f32 1 (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (/.f32 1 x) (PI.f32)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) x) (/.f32 (/.f32 1 tau) (*.f32 x (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (/.f32 1 x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 1 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (/.f32 x (/.f32 1 (*.f32 (PI.f32) tau)))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 1 tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) (/.f32 (PI.f32) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau x))))
(*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau 1)))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau)) 2)
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau -1))))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau 1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau (neg.f32 x)))) (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 1 tau))))) (/.f32 2 (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau)))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))) 2)
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (/.f32 (-.f32 (*.f32 x x) (pow.f32 (*.f32 x tau) 2)) (-.f32 (neg.f32 x) (*.f32 x tau))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
(log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))))
(log.f32 (exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))) (pow.f32 (*.f32 (PI.f32) x) 2))))
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))
(log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))))
(log.f32 (exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))
(*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (log.f32 (exp.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (log.f32 (exp.f32 (-.f32 (*.f32 x tau) x))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (+.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))) tau))
(*.f32 (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) (cbrt.f32 (*.f32 (PI.f32) tau))) (cbrt.f32 (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(*.f32 (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (*.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
(*.f32 (binary64->binary32 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau) (/.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)))) 2)
(/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))))
(/.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 3) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 3)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
(/.f32 (*.f32 (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 3) (pow.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))) 3)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) 2) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))) 2) (neg.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
(binary64->binary32 (/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (pow.f64 (*.f64 (PI.f32) (binary32->binary64 x)) 2) (binary32->binary64 tau))))
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))))
(binary64->binary32 (/.f64 (*.f64 (sin.f64 (*.f64 (binary32->binary64 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 tau)))) (binary32->binary64 x))) (sin.f64 (*.f64 (PI.f32) (binary32->binary64 x)))) (*.f64 (binary32->binary64 (pow.f32 (*.f32 (PI.f32) (binary64->binary32 (binary32->binary64 x))) 2)) (binary32->binary64 tau))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))))) (*.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))))) 2)
Outputs
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))))
Calls

4 calls:

69.0ms
x
65.0ms
(*.f32 x (PI.f32))
64.0ms
tau
62.0ms
(*.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
99.1%1x
99.1%1tau
99.1%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))))
99.1%1(*.f32 x (PI.f32))
Compiler

Compiled 3146 to 935 computations (70.3% saved)

regimes272.0ms (1.3%)

Counts
132 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (/.f32 (*.f32 x (neg.f32 (PI.f32))) (/.f32 -1 tau)) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 tau tau)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) -2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) -2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (pow.f32 (*.f32 x (PI.f32)) 2))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) -2))) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) tau)
(/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) (/.f32 (/.f32 tau (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) (*.f32 x 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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x x)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x))))
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.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 (PI.f32) (*.f32 (*.f32 x tau) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau)) (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 x (pow.f32 (PI.f32) 2))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.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 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.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))) (*.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 x tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (PI.f32)) (/.f32 1 tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 tau (/.f32 1 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 x (/.f32 1 (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (/.f32 1 x) (PI.f32)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) x) (/.f32 (/.f32 1 tau) (*.f32 x (pow.f32 (PI.f32) 2))))
(*.f32 (/.f32 (/.f32 1 x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 1 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (/.f32 x (/.f32 1 (*.f32 (PI.f32) tau)))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 1 tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) (/.f32 (PI.f32) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau x))))
(*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau 1)))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau)) 2)
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau -1))))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))) 2)
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (-.f32 tau 1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau (neg.f32 x)))) (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 1 tau))))) (/.f32 2 (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau)))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))) 2)
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (/.f32 (-.f32 (*.f32 x x) (pow.f32 (*.f32 x tau) 2)) (-.f32 (neg.f32 x) (*.f32 x tau))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
(log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))))
(log.f32 (exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 tau (sin.f32 (*.f32 (PI.f32) x)))) (pow.f32 (*.f32 (PI.f32) x) 2))))
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) tau))
(log.f32 (exp.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))))
(log.f32 (exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))
(*.f32 (*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (log.f32 (exp.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (log.f32 (exp.f32 (-.f32 (*.f32 x tau) x))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (+.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x)))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))) tau))
(*.f32 (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 tau x) x))) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x)))))) 2)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) (cbrt.f32 (*.f32 (PI.f32) tau))) (cbrt.f32 (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(*.f32 (/.f32 (binary64->binary32 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (/.f32 1 (*.f32 tau (*.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) 2)))))) 2)
(*.f32 (binary64->binary32 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) -2) tau) (/.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)))) 2)
(/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) 2)) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))) (/.f32 1 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))) 2)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
Calls

4 calls:

63.0ms
x
59.0ms
(*.f32 x (PI.f32))
59.0ms
tau
57.0ms
(*.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
97.9%1tau
97.9%1x
97.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.9%1(*.f32 x (PI.f32))
Compiler

Compiled 2792 to 838 computations (70% saved)

regimes104.0ms (0.5%)

Counts
64 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (/.f32 (*.f32 x (neg.f32 (PI.f32))) (/.f32 -1 tau)) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 tau tau)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) -2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) -2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (pow.f32 (*.f32 x (PI.f32)) 2))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) -2))) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) tau)
(/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) (/.f32 (/.f32 tau (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) (*.f32 x 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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x x)) tau)))
Outputs
(*.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))))
Calls

3 calls:

29.0ms
tau
29.0ms
(*.f32 x (PI.f32))
28.0ms
x
Results
AccuracySegmentsBranch
97.6%1x
97.6%1tau
97.6%1(*.f32 x (PI.f32))
Compiler

Compiled 1040 to 388 computations (62.7% saved)

regimes101.0ms (0.5%)

Counts
62 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (/.f32 (*.f32 x (neg.f32 (PI.f32))) (/.f32 -1 tau)) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 tau tau)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) -2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) -2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (pow.f32 (*.f32 x (PI.f32)) 2))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) -2))) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) tau)
(/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) (/.f32 (/.f32 tau (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
Outputs
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
Calls

3 calls:

29.0ms
tau
28.0ms
x
28.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.3%1x
97.3%1(*.f32 x (PI.f32))
97.3%1tau
Compiler

Compiled 998 to 383 computations (61.6% saved)

regimes96.0ms (0.5%)

Counts
58 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (/.f32 (*.f32 x (neg.f32 (PI.f32))) (/.f32 -1 tau)) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 tau tau)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) -2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) -2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (pow.f32 (*.f32 x (PI.f32)) 2))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) -2))) tau)
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (pow.f32 (*.f32 x (PI.f32)) 2))
Calls

3 calls:

27.0ms
tau
27.0ms
x
27.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.2%1tau
97.2%1x
97.2%1(*.f32 x (PI.f32))
Compiler

Compiled 922 to 362 computations (60.7% saved)

regimes91.0ms (0.4%)

Counts
55 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (/.f32 (*.f32 x (neg.f32 (PI.f32))) (/.f32 -1 tau)) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 tau tau)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) -2) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (*.f32 x (PI.f32)) -2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) -2)))
Outputs
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
Calls

3 calls:

27.0ms
x
25.0ms
tau
25.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.2%1tau
97.2%1x
97.2%1(*.f32 x (PI.f32))
Compiler

Compiled 865 to 347 computations (59.9% saved)

regimes116.0ms (0.6%)

Counts
46 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (/.f32 (*.f32 x (neg.f32 (PI.f32))) (/.f32 -1 tau)) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 tau 3) (*.f32 x (PI.f32)))) (/.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 tau tau)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2)))))
Outputs
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
Calls

3 calls:

55.0ms
tau
23.0ms
(*.f32 x (PI.f32))
21.0ms
x
Results
AccuracySegmentsBranch
85.8%1x
85.8%1tau
85.8%1(*.f32 x (PI.f32))
Compiler

Compiled 694 to 302 computations (56.5% saved)

regimes76.0ms (0.4%)

Counts
41 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (/.f32 (*.f32 x (neg.f32 (PI.f32))) (/.f32 -1 tau)) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
Outputs
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
Calls

3 calls:

22.0ms
(*.f32 x (PI.f32))
21.0ms
tau
20.0ms
x
Results
AccuracySegmentsBranch
85.8%1tau
85.8%1x
85.8%1(*.f32 x (PI.f32))
Compiler

Compiled 580 to 262 computations (54.8% saved)

regimes69.0ms (0.3%)

Counts
40 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (/.f32 (*.f32 x (neg.f32 (PI.f32))) (/.f32 -1 tau)) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
Calls

3 calls:

21.0ms
(*.f32 x (PI.f32))
19.0ms
x
19.0ms
tau
Results
AccuracySegmentsBranch
80.4%1tau
80.4%1x
80.4%1(*.f32 x (PI.f32))
Compiler

Compiled 558 to 255 computations (54.3% saved)

regimes72.0ms (0.4%)

Counts
37 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (/.f32 (*.f32 x (neg.f32 (PI.f32))) (/.f32 -1 tau)) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
Calls

3 calls:

18.0ms
x
17.0ms
tau
16.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
80.2%1x
80.2%1(*.f32 x (PI.f32))
80.2%1tau
Compiler

Compiled 498 to 238 computations (52.2% saved)

regimes64.0ms (0.3%)

Counts
36 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) 2) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (/.f32 (*.f32 x (neg.f32 (PI.f32))) (/.f32 -1 tau)) 2))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 (*.f32 x (PI.f32)) tau))
Outputs
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
Calls

3 calls:

19.0ms
x
17.0ms
tau
16.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
80.0%1x
80.0%1(*.f32 x (PI.f32))
80.0%1tau
Compiler

Compiled 478 to 230 computations (51.9% saved)

regimes55.0ms (0.3%)

Counts
32 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 tau tau)) (pow.f32 (PI.f32) 2)))))
Outputs
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
Calls

3 calls:

16.0ms
x
15.0ms
tau
14.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
79.6%1tau
79.6%1x
79.6%1(*.f32 x (PI.f32))
Compiler

Compiled 396 to 191 computations (51.8% saved)

regimes56.0ms (0.3%)

Counts
30 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (*.f32 tau (PI.f32)) 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 2))))
Outputs
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
Calls

3 calls:

18.0ms
(*.f32 x (PI.f32))
16.0ms
x
15.0ms
tau
Results
AccuracySegmentsBranch
79.6%1tau
79.6%1x
79.6%1(*.f32 x (PI.f32))
Compiler

Compiled 358 to 169 computations (52.8% saved)

regimes48.0ms (0.2%)

Counts
26 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 x tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (*.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))
Outputs
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
Calls

3 calls:

17.0ms
x
14.0ms
(*.f32 x (PI.f32))
12.0ms
tau
Results
AccuracySegmentsBranch
71.5%1x
71.5%1tau
71.5%1(*.f32 x (PI.f32))
Compiler

Compiled 287 to 132 computations (54% saved)

regimes37.0ms (0.2%)

Counts
21 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
Outputs
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
Calls

3 calls:

11.0ms
x
11.0ms
(*.f32 x (PI.f32))
10.0ms
tau
Results
AccuracySegmentsBranch
65.7%1x
65.7%1tau
65.7%1(*.f32 x (PI.f32))
Compiler

Compiled 211 to 107 computations (49.3% saved)

regimes59.0ms (0.3%)

Counts
20 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (*.f32 x x) (*.f32 -1/6 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (*.f32 (PI.f32) (*.f32 x -1/6)) (*.f32 (PI.f32) x) 1)
(+.f32 1 (*.f32 -1/6 (exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) x))))))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 (/.f32 tau x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
Outputs
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
Calls

3 calls:

34.0ms
tau
11.0ms
(*.f32 x (PI.f32))
10.0ms
x
Results
AccuracySegmentsBranch
65.6%1tau
65.6%1x
65.6%1(*.f32 x (PI.f32))
Compiler

Compiled 199 to 98 computations (50.8% saved)

regimes25.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(*.f32 (/.f32 1 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(/.f32 1 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
Outputs
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
Calls

3 calls:

8.0ms
tau
7.0ms
x
7.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
65.6%1tau
65.6%1x
65.6%1(*.f32 x (PI.f32))
Compiler

Compiled 122 to 63 computations (48.4% saved)

regimes17.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
Outputs
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
Calls

3 calls:

5.0ms
x
5.0ms
(*.f32 x (PI.f32))
5.0ms
tau
Results
AccuracySegmentsBranch
65.6%1tau
65.6%1x
65.6%1(*.f32 x (PI.f32))
Compiler

Compiled 64 to 41 computations (35.9% saved)

regimes13.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
Outputs
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
Calls

3 calls:

4.0ms
(*.f32 x (PI.f32))
4.0ms
tau
4.0ms
x
Results
AccuracySegmentsBranch
65.6%1tau
65.6%1x
65.6%1(*.f32 x (PI.f32))
Compiler

Compiled 37 to 30 computations (18.9% saved)

regimes12.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
Outputs
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
Calls

3 calls:

4.0ms
tau
4.0ms
(*.f32 x (PI.f32))
3.0ms
x
Results
AccuracySegmentsBranch
65.6%1tau
65.6%1x
65.6%1(*.f32 x (PI.f32))
Compiler

Compiled 26 to 22 computations (15.4% saved)

regimes7.0ms (0%)

Accuracy

Total -0.2b remaining (-1.6%)

Threshold costs -0.2b (-1.6%)

Counts
2 → 1
Calls
Call 1
Inputs
1
(log.f32 (exp.f32 1))
Outputs
1
Calls

2 calls:

3.0ms
x
3.0ms
tau
Results
AccuracySegmentsBranch
64.4%1tau
64.4%1x
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify22.0ms (0.1%)

Algorithm
egg-herbie
Rules
36×*-commutative
+-commutative
1-exp
*-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0891079
11321079
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 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 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
1
Outputs
(binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau)))) (*.f64 (binary32->binary64 x) (PI.f32))) (/.f64 (sin.f64 (*.f64 (binary32->binary64 x) (PI.f32))) (*.f64 (binary32->binary64 x) (*.f64 (PI.f32) (binary32->binary64 tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 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 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) 2)) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (pow.f32 (*.f32 x (PI.f32)) 2))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) 2))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 1 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) -1/6)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 1 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) -1/6)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))) (*.f32 x (PI.f32))))
(*.f32 (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2))) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(*.f32 (+.f32 1 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) -1/6)) (+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) 2))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 x x) (*.f32 -1/6 (+.f32 (pow.f32 (PI.f32) 2) (*.f32 (*.f32 tau tau) (pow.f32 (PI.f32) 2))))))
(fma.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 tau tau) 1) (pow.f32 (PI.f32) 2))) (*.f32 x x) 1)
(fma.f32 (*.f32 -1/6 (*.f32 (pow.f32 (PI.f32) 2) (+.f32 1 (*.f32 tau tau)))) (*.f32 x x) 1)
(*.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))
(/.f32 1 (/.f32 1 (fma.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2) 1)))
(fma.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6 1)
(fma.f32 (pow.f32 (*.f32 x (PI.f32)) 2) -1/6 1)
(+.f32 1 (*.f32 (*.f32 -1/6 (*.f32 x x)) (pow.f32 (PI.f32) 2)))
(+.f32 1 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 -1/6 (*.f32 x x))))
(+.f32 1 (*.f32 -1/6 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -1/6 (pow.f32 (*.f32 x (PI.f32)) 2)))
(+.f32 1 (*.f32 (pow.f32 (*.f32 x (PI.f32)) 2) -1/6))
1
Compiler

Compiled 383 to 252 computations (34.2% saved)

soundness7.8s (37.7%)

Rules
1851×times-frac
1851×times-frac
1851×times-frac
1361×frac-times
1361×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034363
193363
2368363
31787363
44364363
037648
1135648
2946622
0162673606
1501271462
0162673606
1501271462
0162673606
1501271462
0142441432
1426039148
045307
1156303
2914303
0142441432
1426039148
045307
1156303
2914303
034363
193363
2368363
31787363
44364363
037648
1135648
2946622
0162673606
1501271462
045307
1156303
2914303
0101537919
1310036203
0162673606
1501271462
0162673606
1501271462
034363
193363
2368363
31787363
44364363
0162673606
1501271462
0142441432
1426039148
037648
1135648
2946622
0162673606
1501271462
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 3291 to 1260 computations (61.7% saved)

end1.0ms (0%)

preprocess148.0ms (0.7%)

Remove

(abs x)

Compiler

Compiled 792 to 348 computations (56.1% saved)

Profiling

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