Lanczos kernel

Time bar (total: 12.0s)

analyze0.0ms (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)

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

sample1.6s (13.4%)

Results
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 948.0ms
ival-sin: 323.0ms (34.1% of total)
ival-mult: 205.0ms (21.6% of total)
ival-<=: 136.0ms (14.4% of total)
ival-div: 126.0ms (13.3% of total)
ival-pi: 111.0ms (11.7% of total)
ival-and: 25.0ms (2.6% of total)
const: 19.0ms (2% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess112.0ms (0.9%)

Algorithm
egg-herbie
Rules
1200×div-sub
1074×fma-define
954×fma-neg
868×associate-*l*
668×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038663
1144663
2750631
33878631
46994631
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 tau (PI.f32))) (*.f32 tau (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 x))) (*.f32 (PI.f32) (neg.f32 x)))))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 (neg.f32 x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 x))) (neg.f32 (*.f32 (PI.f32) (neg.f32 x)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 x))) (*.f32 (PI.f32) (neg.f32 x)))))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 (neg.f32 x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 x))) (neg.f32 (*.f32 (PI.f32) (neg.f32 x)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (*.f32 (PI.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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) tau)))))
Symmetry

(abs x)

(abs tau)

explain115.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.9957798719406128 1.9299514293670654)(sin.f32 (*.f32 x (PI.f32)))
00-0-x
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-(*.f32 x (PI.f32))
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(PI.f32)
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
Results
69.0ms512×0valid
Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sin: 23.0ms (50.7% of total)
ival-mult: 11.0ms (24.3% of total)
ival-div: 8.0ms (17.6% of total)
ival-pi: 2.0ms (4.4% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 65 to 21 computations (67.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.9%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
97.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
Compiler

Compiled 92 to 44 computations (52.2% saved)

localize158.0ms (1.3%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.0%
(*.f32 x (PI.f32))
98.9%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
98.5%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
98.9%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
98.9%
(*.f32 (PI.f32) (*.f32 x tau))
98.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
99.0%
(*.f32 (PI.f32) tau)
98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
98.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
98.9%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
98.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
98.7%
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
Results
112.0ms256×0valid
Compiler

Compiled 275 to 26 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 34.0ms (45.3% of total)
ival-mult: 22.0ms (29.3% of total)
ival-sin: 17.0ms (22.7% of total)
ival-pi: 1.0ms (1.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series85.0ms (0.7%)

Counts
16 → 308
Calls
Call 1
Inputs
#<alt (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))>
#<alt (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.f32 (PI.f32) tau)>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (*.f32 x (PI.f32))>
Outputs
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
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#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
Calls

84 calls:

TimeVariablePointExpression
17.0ms
tau
@-inf
(* (PI) (* x (* (PI) tau)))
12.0ms
tau
@-inf
(* (PI) tau)
3.0ms
tau
@0
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (* (PI) (* x (* (PI) tau))))))
3.0ms
x
@0
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (* (PI) (* x (* (PI) tau))))))
2.0ms
tau
@inf
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (* (PI) (* x (* (PI) tau))))))

rewrite690.0ms (5.7%)

Algorithm
batch-egg-rewrite
Rules
901×log1p-expm1-u
564×times-frac
480×associate-*r*
330×associate-*l*
242×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030676
1591619
26731619
Stop Event
node limit
Counts
16 → 786
Calls
Call 1
Inputs
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) tau)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 x (PI.f32))
Outputs
(+.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 0 binary32))
(+.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) tau) #s(literal 0 binary32)))
(+.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) x) #s(literal 0 binary32)))
(+.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) #s(literal 0 binary32)))
(+.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) #s(literal 0 binary32)))
(+.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 0 binary32) (PI.f32)))
(+.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 0 binary32) (*.f32 tau (*.f32 (PI.f32) x))))
(+.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(+.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 0 binary32) (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32))
(/.f32 (pow.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32)) (+.f32 (pow.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 0 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 0 binary32)))
(pow.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32))
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(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (PI.f32) x))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (sqrt.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (cbrt.f32 (*.f32 (PI.f32) x))))
(pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (neg.f32 x))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) #s(literal 0 binary32))
(+.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(+.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (cos.f32 #s(literal 0 binary32))) (*.f32 (cos.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 #s(literal 0 binary32))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (sqrt.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 3 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32)))))
(/.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 2 binary32)) #s(literal 0 binary32)) (-.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32)))
(pow.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (sqrt.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 0 binary32))
(+.f32 (*.f32 (PI.f32) x) #s(literal 0 binary32))
(+.f32 (*.f32 (PI.f32) x) (*.f32 x #s(literal 0 binary32)))
(+.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) #s(literal 0 binary32)))
(+.f32 (*.f32 (PI.f32) x) (*.f32 #s(literal 0 binary32) (PI.f32)))
(+.f32 (*.f32 (PI.f32) x) (*.f32 #s(literal 0 binary32) x))
(+.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) x))) #s(literal 1 binary32))
(/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (+.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) #s(literal 0 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 0 binary32)) (-.f32 (*.f32 (PI.f32) x) #s(literal 0 binary32)))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(log.f32 (exp.f32 (*.f32 (PI.f32) x)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) x))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) x)))
(exp.f32 (log.f32 (*.f32 (PI.f32) x)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)))
(fma.f32 (PI.f32) x #s(literal 0 binary32))
(fma.f32 x (PI.f32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32))

simplify943.0ms (7.9%)

Algorithm
egg-herbie
Rules
1534×associate-*l*
1068×associate-*r/
996×add0
944×associate-*l/
792×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106559466
1367156334
Stop Event
node limit
Counts
1094 → 597
Calls
Call 1
Inputs
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) x))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) x)))
(exp.f32 (log.f32 (*.f32 (PI.f32) x)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)))
(fma.f32 (PI.f32) x #s(literal 0 binary32))
(fma.f32 x (PI.f32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32))
Outputs
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal -1/6 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal -1/6 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 2 binary32))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 tau #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal -1/6 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 2 binary32)))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 #s(literal -1/5040 binary32) (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (pow.f32 tau #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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eval199.0ms (1.7%)

Compiler

Compiled 31534 to 8386 computations (73.4% saved)

prune306.0ms (2.5%)

Pruning

42 alts after pruning (39 fresh and 3 done)

PrunedKeptTotal
New1118391157
Fresh000
Picked134
Done000
Total1119421161
Accuracy
99.9%
Counts
1161 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 x tau)) (PI.f32))
97.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (PI.f32)) (*.f32 x tau))
97.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) tau))
97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
96.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
97.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (PI.f32))
98.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
97.3%
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
64.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
77.3%
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal -1/6 binary32)))))
97.6%
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 3 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (*.f32 x (PI.f32))))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
82.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) x)))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.4%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
63.7%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.9%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
97.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
97.5%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau))))
96.6%
(*.f32 (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
69.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
93.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) tau)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau)))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
96.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))) (*.f32 x (PI.f32)))))
97.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))))
97.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
69.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
97.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
97.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x)))
97.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
57.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))))
97.2%
(*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
97.2%
(*.f32 (log1p.f32 (expm1.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
97.3%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
63.1%
#s(literal 1 binary32)
Compiler

Compiled 1941 to 1116 computations (42.5% saved)

localize232.0ms (1.9%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
98.9%
(sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
98.8%
(*.f32 (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.6%
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))
98.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
98.6%
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
98.6%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2 binary32)))
96.9%
(pow.f32 (PI.f32) #s(literal 2 binary32))
99.0%
(*.f32 (PI.f32) x)
98.9%
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
98.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
98.7%
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
99.0%
(*.f32 x (PI.f32))
98.9%
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
98.8%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))
98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Results
168.0ms256×0valid
Compiler

Compiled 344 to 64 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-mult: 32.0ms (28% of total)
ival-pow: 28.0ms (24.5% of total)
ival-div: 26.0ms (22.8% of total)
ival-sin: 22.0ms (19.3% of total)
const: 2.0ms (1.8% of total)
ival-cbrt: 2.0ms (1.8% of total)
ival-pi: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series43.0ms (0.4%)

Counts
14 → 264
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))>
#<alt (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))>
#<alt (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))>
#<alt (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))>
#<alt (*.f32 (PI.f32) x)>
#<alt (pow.f32 (PI.f32) #s(literal 2 binary32))>
#<alt (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))>
#<alt (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))>
#<alt (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))>
#<alt (*.f32 (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
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#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)>
#<alt (/.f32 (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) tau)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)>
#<alt (/.f32 (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) tau)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau)))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))))>
#<alt (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))))>
#<alt (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))))>
#<alt (sin.f32 (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))))>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
tau
@-inf
(pow (cbrt (* (PI) tau)) 3)
3.0ms
tau
@-inf
(* (sin (* x (pow (cbrt (* (PI) tau)) 3))) (/ (sin (* x (PI))) (* (* x (* (PI) tau)) (* x (PI)))))
3.0ms
tau
@0
(* (/ (/ (sin (* (PI) x)) x) (pow (PI) 2)) (sin (* tau (* (PI) x))))
1.0ms
x
@0
(/ (/ (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) tau) (* (PI) x))
1.0ms
x
@-inf
(* (/ (/ (sin (* (PI) x)) x) (pow (PI) 2)) (sin (* tau (* (PI) x))))

rewrite182.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
900×times-frac
378×frac-times
273×log1p-expm1-u
273×expm1-log1p-u
270×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040624
1759624
Stop Event
node limit
Counts
14 → 483
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) x)
(pow.f32 (PI.f32) #s(literal 2 binary32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))
(*.f32 (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))
Outputs
(+.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (/.f32 tau #s(literal 1 binary32)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) tau)
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) tau))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 tau #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 tau #s(literal 1 binary32)) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (neg.f32 tau)))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 tau) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 1 binary32)) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) x) (/.f32 tau #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) #s(literal 1 binary32)) tau)
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) (*.f32 tau x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) (*.f32 (/.f32 tau #s(literal 1 binary32)) x))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 (/.f32 tau #s(literal 1 binary32)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (/.f32 tau #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) #s(literal 1 binary32)) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) #s(literal 1 binary32)) (*.f32 x (/.f32 tau #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) x) (neg.f32 tau)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal -1 binary32)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) #s(literal -1 binary32)) (*.f32 x (neg.f32 tau)))
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 (neg.f32 tau) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32))) (*.f32 (neg.f32 tau) x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x))) (neg.f32 tau))
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(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 3 binary32)) #s(literal 0 binary32)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 0 binary32)))))
(pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 0 binary32))
(fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 0 binary32))
(+.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (*.f32 (PI.f32) x)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (sqrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) x)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (cbrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) x)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)))
(pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))
(fma.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 0 binary32))
(+.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32))
(+.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (cos.f32 #s(literal 0 binary32))) (*.f32 (cos.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 #s(literal 0 binary32))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(/.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32)) #s(literal 0 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32)))))
(pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(exp.f32 (log.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))

simplify412.0ms (3.4%)

Algorithm
egg-herbie
Rules
1454×associate-*r/
1226×associate-*l/
1166×associate-/r*
1150×add0
682×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0125744895
1451942852
Stop Event
node limit
Counts
747 → 634
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
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(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 0 binary32))
(fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 0 binary32))
(+.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (*.f32 (PI.f32) x)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (sqrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) x)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (cbrt.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 tau (PI.f32))) x)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)))
(pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))
(fma.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 0 binary32))
(+.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32))
(+.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (cos.f32 #s(literal 0 binary32))) (*.f32 (cos.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 #s(literal 0 binary32))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(/.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32)) #s(literal 0 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32)))))
(pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(exp.f32 (log.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
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#s(literal 1 binary32)
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(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(+.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32))
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(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(fma.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 0 binary32))
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eval652.0ms (5.4%)

Compiler

Compiled 32465 to 10249 computations (68.4% saved)

prune574.0ms (4.8%)

Pruning

44 alts after pruning (39 fresh and 5 done)

PrunedKeptTotal
New1090261116
Fresh211334
Picked235
Done123
Total1114441158
Accuracy
99.9%
Counts
1158 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 3 binary32))
92.1%
(/.f32 (pow.f32 (/.f32 (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)) #s(literal 2 binary32)) (*.f32 x tau))
96.5%
(/.f32 (/.f32 (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
97.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 x tau)) (PI.f32))
97.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) tau))
97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
97.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal 1 binary32))) tau) (*.f32 (PI.f32) x))
83.2%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) tau) (*.f32 (PI.f32) x))
97.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau) (*.f32 (PI.f32) x))
63.8%
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
96.0%
(/.f32 (*.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (PI.f32)) #s(literal 2 binary32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
97.3%
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
69.8%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
98.0%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
64.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
96.9%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
77.3%
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal -1/6 binary32)))))
97.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau) x))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau) (PI.f32)))
97.4%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x))) x))
78.4%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))))
97.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau))))
97.9%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
96.6%
(*.f32 (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
56.8%
(*.f32 (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))))
69.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
93.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) tau)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau)))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
69.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
97.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
57.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))))
96.7%
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.3%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.3%
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau x))))
63.1%
#s(literal 1 binary32)
Compiler

Compiled 1966 to 1169 computations (40.5% saved)

localize229.0ms (1.9%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.0%
(*.f32 (PI.f32) x)
98.9%
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
98.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
98.7%
(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
98.9%
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
98.8%
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
98.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau) (*.f32 (PI.f32) x))
98.6%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
99.0%
(*.f32 x (PI.f32))
99.0%
(*.f32 tau (PI.f32))
98.9%
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
99.2%
(sin.f32 (*.f32 x (PI.f32)))
99.0%
(*.f32 x (PI.f32))
98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
99.0%
(*.f32 tau (PI.f32))
98.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x)))
98.9%
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
Results
162.0ms256×0valid
Compiler

Compiled 364 to 49 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 55.0ms (46.4% of total)
ival-div: 29.0ms (24.5% of total)
ival-sin: 22.0ms (18.6% of total)
ival-log1p: 7.0ms (5.9% of total)
ival-expm1: 3.0ms (2.5% of total)
ival-pi: 1.0ms (0.8% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.2%)

Counts
12 → 184
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))>
#<alt (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x)))>
#<alt (*.f32 tau (PI.f32))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))>
#<alt (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau) (*.f32 (PI.f32) x))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))>
#<alt (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))>
#<alt (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
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#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt x>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
tau
@0
(/ (* (sin (* x (* tau (PI)))) (sin (* (PI) x))) (* (* (PI) x) (* x (* tau (PI)))))
1.0ms
x
@0
(* (sin (* x (* tau (PI)))) (sin (* (PI) x)))
1.0ms
tau
@0
(* (sin (* x (* tau (PI)))) (sin (* (PI) x)))
0.0ms
tau
@0
(/ (/ (* (sin (* tau (* (PI) x))) (/ (sin (- (exp (log (+ 1 (* (PI) x)))) 1)) (* (PI) x))) tau) (* (PI) x))
0.0ms
x
@0
(sin (* x (PI)))

rewrite310.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
736×times-frac
486×associate-*r*
346×associate-*l*
282×frac-times
216×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035493
1666460
Stop Event
node limit
Counts
12 → 834
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 tau (PI.f32))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(*.f32 tau (PI.f32))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
Outputs
(+.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 1 binary32))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 x (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 x (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) tau) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) x))
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(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) tau) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (*.f32 tau (PI.f32))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (*.f32 x (PI.f32))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) tau))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (*.f32 x tau)) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) x) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 tau (PI.f32))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) x))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) tau))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 x tau)) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) x) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (PI.f32)) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) x))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) x) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (cbrt.f32 (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) (*.f32 x (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 x (PI.f32))))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 0 binary32))
(fma.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 0 binary32))
(fma.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 0 binary32))
(fma.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32))

simplify628.0ms (5.2%)

Algorithm
egg-herbie
Rules
1472×associate-/r*
1111×add0
740×associate-/l/
680×*-commutative
426×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0117076876
1419474486
Stop Event
node limit
Counts
1018 → 601
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (*.f32 tau (PI.f32))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (*.f32 x (PI.f32))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) tau))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (*.f32 x tau)) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) x) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 tau (PI.f32))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) x))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) tau))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 x tau)) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))))) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (cbrt.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sqrt.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) x) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (PI.f32)) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) x))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32))) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) x) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (cbrt.f32 (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) (*.f32 x (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))) (*.f32 x (PI.f32))))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 0 binary32))
(fma.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 0 binary32))
(fma.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 0 binary32))
(fma.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
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(*.f32 tau (fma.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
(*.f32 tau (fma.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
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(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 x (PI.f32))
(*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))
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(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (*.f32 tau (PI.f32)))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))
(*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 tau (PI.f32))))
(*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau (PI.f32))))
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(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
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(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
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(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
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(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
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(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (*.f32 tau (PI.f32)))
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(*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))) (*.f32 x (PI.f32))))
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(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
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(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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x
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(fabs.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 3 binary32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(fma.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 0 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 0 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(fma.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 0 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(fma.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 0 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 0 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 0 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(fma.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))

eval307.0ms (2.6%)

Compiler

Compiled 45800 to 13238 computations (71.1% saved)

prune394.0ms (3.3%)

Pruning

45 alts after pruning (38 fresh and 7 done)

PrunedKeptTotal
New1718211739
Fresh171734
Picked235
Done145
Total1738451783
Accuracy
99.9%
Counts
1783 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.1%
(/.f32 (pow.f32 (/.f32 (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)) #s(literal 2 binary32)) (*.f32 x tau))
67.0%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 tau (PI.f32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
67.1%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 tau (PI.f32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
96.5%
(/.f32 (/.f32 (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
97.2%
(/.f32 (/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau) (*.f32 (PI.f32) x))
97.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))) tau) (*.f32 (PI.f32) x))
97.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 x tau)) (PI.f32))
97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
97.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal 1 binary32))) tau) (*.f32 (PI.f32) x))
97.2%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))) tau) (*.f32 (PI.f32) x))
78.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) #s(literal 1 binary32)))) tau) (*.f32 (PI.f32) x))
93.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))) tau) (*.f32 (PI.f32) x))
69.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) x)) tau) (*.f32 (PI.f32) x))
63.8%
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
69.8%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
63.8%
(/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
64.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
63.9%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
63.9%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
69.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) tau))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (PI.f32)))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 tau (PI.f32))))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x))
63.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau) x))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau) (PI.f32)))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (*.f32 tau (PI.f32)))))
63.9%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
63.9%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
78.4%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.7%
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (*.f32 x (PI.f32))) tau)))
97.9%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
69.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
93.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) tau)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau)))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
69.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
97.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
97.3%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.3%
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau x))))
63.1%
#s(literal 1 binary32)
Compiler

Compiled 1920 to 1176 computations (38.8% saved)

localize274.0ms (2.3%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
98.9%
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
98.9%
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
98.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))) tau) (*.f32 (PI.f32) x))
98.6%
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
99.0%
(*.f32 tau (PI.f32))
98.9%
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
98.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (PI.f32)))
99.0%
(*.f32 (PI.f32) x)
99.0%
(*.f32 x (PI.f32))
99.0%
(*.f32 tau (PI.f32))
98.9%
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
99.7%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
99.0%
(*.f32 x (PI.f32))
98.8%
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
98.3%
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
99.0%
(*.f32 tau (PI.f32))
98.9%
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
98.9%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))
98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Results
180.0ms256×0valid
Compiler

Compiled 381 to 76 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-div: 36.0ms (28.3% of total)
ival-mult: 34.0ms (26.7% of total)
ival-pow: 31.0ms (24.4% of total)
ival-sin: 20.0ms (15.7% of total)
const: 3.0ms (2.4% of total)
ival-pi: 1.0ms (0.8% of total)
ival-add: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.3%)

Counts
10 → 120
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))>
#<alt (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))>
#<alt (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))>
#<alt (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))) tau) (*.f32 (PI.f32) x))>
#<alt (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))>
Outputs
#<alt x>
#<alt (+.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 x (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (+.f32 x (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt x>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt x>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) x)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) x)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))) x)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (+.f32 (*.f32 #s(literal 1/720 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))) x)>
Calls

42 calls:

TimeVariablePointExpression
11.0ms
tau
@0
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
3.0ms
x
@inf
(* (/ 1 x) (pow (/ (PI) (sin (* x (PI)))) -1))
1.0ms
x
@inf
(* (/ (/ (sin (* x (* tau (PI)))) x) (* x tau)) (/ (/ (sin (* x (PI))) (PI)) (PI)))
1.0ms
tau
@-inf
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
1.0ms
x
@0
(/ (PI) (sin (* x (PI))))

rewrite167.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
640×times-frac
518×frac-times
256×log1p-expm1-u
256×expm1-log1p-u
254×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040398
1755384
Stop Event
node limit
Counts
10 → 453
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))) tau) (*.f32 (PI.f32) x))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
Outputs
(+.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) #s(literal 0 binary32))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32)))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (*.f32 tau (PI.f32))))
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(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)) #s(literal 2 binary32))) x) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))) (PI.f32)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)) #s(literal 2 binary32))) (PI.f32)) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))) x))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)) #s(literal 2 binary32))) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))) x) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (pow.f32 (cbrt.f32 (*.f32 tau x)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))) (cbrt.f32 (*.f32 tau x))))
(pow.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))))) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (/.f32 x (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 tau (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(exp.f32 (log.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32))
(fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 0 binary32))
(fma.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) #s(literal 0 binary32))
(fma.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 0 binary32))
(fma.f32 (*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))))) (*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))))) #s(literal 0 binary32))
(+.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 0 binary32))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal 1 binary32))
(*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (/.f32 (PI.f32) (cbrt.f32 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (PI.f32) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (sin.f32 (*.f32 x (PI.f32))))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(exp.f32 (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(fma.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 0 binary32))

simplify359.0ms (3%)

Algorithm
egg-herbie
Rules
1230×associate-*r/
1193×add0
1158×associate-*l/
642×*-commutative
578×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119035184
1440534522
Stop Event
node limit
Counts
573 → 618
Calls
Call 1
Inputs
x
(+.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 x (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 x (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
x
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
x
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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(*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (/.f32 (PI.f32) (cbrt.f32 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (PI.f32) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (sin.f32 (*.f32 x (PI.f32))))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(exp.f32 (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(fma.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 0 binary32))
Outputs
x
(+.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 x (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 x (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 x (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(+.f32 x (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(+.f32 x (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
x
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 2 binary32)))))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 tau #s(literal 4 binary32))))))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 tau #s(literal 4 binary32))))))))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (*.f32 tau (PI.f32)))
(*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))
(*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))) (*.f32 x (PI.f32))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 tau (fma.f32 x (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(*.f32 tau (fma.f32 x (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (*.f32 tau (PI.f32)))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))
(*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 tau (PI.f32))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 tau #s(literal 5 binary32))))))))))
(*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
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x
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#s(literal 1 binary32)
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
#s(literal 1 binary32)
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(*.f32 (cbrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (PI.f32) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (PI.f32) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (/.f32 (PI.f32) (cbrt.f32 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (PI.f32) (cbrt.f32 (sin.f32 (*.f32 x (PI.f32))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal -1 binary32))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(pow.f32 (cbrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 3 binary32))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(pow.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(pow.f32 (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(sqrt.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(log.f32 (exp.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(cbrt.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 3 binary32)))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(cbrt.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(expm1.f32 (log1p.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(exp.f32 (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 0 binary32))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 0 binary32))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 (cbrt.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 0 binary32))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(fma.f32 (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (sqrt.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 0 binary32))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))

eval387.0ms (3.2%)

Compiler

Compiled 49527 to 15587 computations (68.5% saved)

prune434.0ms (3.6%)

Pruning

48 alts after pruning (38 fresh and 10 done)

PrunedKeptTotal
New1860111871
Fresh62733
Picked235
Done077
Total1868481916
Accuracy
100.0%
Counts
1916 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.9%
(fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
97.2%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) x) (*.f32 (*.f32 (PI.f32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) tau))
67.0%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 tau (PI.f32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
67.1%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 tau (PI.f32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
96.5%
(/.f32 (/.f32 (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
97.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))) tau) (*.f32 (PI.f32) x))
97.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 x tau)) (PI.f32))
97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
97.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal 1 binary32))) tau) (*.f32 (PI.f32) x))
93.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))) tau) (*.f32 (PI.f32) x))
69.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) x)) tau) (*.f32 (PI.f32) x))
63.8%
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 tau x)))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 (*.f32 (*.f32 tau x) (/.f32 x (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)))
69.8%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
63.8%
(/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
64.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
63.9%
(+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
63.9%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
63.0%
(*.f32 (/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
63.1%
(*.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
69.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) tau))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (PI.f32)))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 tau (PI.f32))))
69.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x))
63.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau) x))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau) (PI.f32)))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (*.f32 tau (PI.f32)))))
78.0%
(*.f32 (/.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
63.9%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
63.9%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
78.4%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.7%
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (*.f32 x (PI.f32))) tau)))
97.9%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
69.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
97.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
69.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
97.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
97.3%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.3%
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau x))))
63.1%
#s(literal 1 binary32)
Compiler

Compiled 3211 to 1208 computations (62.4% saved)

regimes126.0ms (1%)

Counts
101 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) x)) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
(fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 (*.f32 (*.f32 tau x) (/.f32 x (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (*.f32 (*.f32 (PI.f32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 tau x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (PI.f32)) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) x) (*.f32 (*.f32 (PI.f32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) tau) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 tau (PI.f32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 tau (PI.f32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (PI.f32))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x))) x))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (pow.f32 x #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))) tau) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (PI.f32)) #s(literal 2 binary32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
(/.f32 (pow.f32 (/.f32 (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (PI.f32)) #s(literal 2 binary32)) (*.f32 x tau))
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (log1p.f32 (expm1.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 tau (*.f32 (PI.f32) x))))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) #s(literal 3 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))) #s(literal 3 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) x)))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal 1 binary32))) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) #s(literal 1 binary32)))) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (*.f32 x (PI.f32))) tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) x))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 x (pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32))))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) tau)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau)))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))) tau) (*.f32 (PI.f32) x))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

34.0ms
tau
31.0ms
(*.f32 x (PI.f32))
28.0ms
x
26.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
98.2%1x
98.2%1tau
98.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.2%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes31.0ms (0.3%)

Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) x)) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
(fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau) x))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
Calls

3 calls:

10.0ms
tau
10.0ms
(*.f32 x (PI.f32))
8.0ms
x
Results
AccuracySegmentsBranch
97.9%1x
97.9%1(*.f32 x (PI.f32))
97.9%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes25.0ms (0.2%)

Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) x)) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
(fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
Calls

3 calls:

9.0ms
tau
7.0ms
(*.f32 x (PI.f32))
6.0ms
x
Results
AccuracySegmentsBranch
97.6%1x
97.6%1tau
97.6%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.2%)

Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) x)) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
(fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

3 calls:

8.0ms
x
6.0ms
(*.f32 x (PI.f32))
6.0ms
tau
Results
AccuracySegmentsBranch
78.4%1tau
78.4%1x
78.4%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes23.0ms (0.2%)

Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) x)) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 tau (PI.f32)))))
(fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
Calls

3 calls:

8.0ms
(*.f32 x (PI.f32))
8.0ms
tau
6.0ms
x
Results
AccuracySegmentsBranch
69.9%1x
69.9%1(*.f32 x (PI.f32))
69.9%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (/.f32 #s(literal 1 binary32) x) x)) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
Outputs
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
Calls

3 calls:

6.0ms
(*.f32 x (PI.f32))
6.0ms
tau
5.0ms
x
Results
AccuracySegmentsBranch
69.8%1tau
69.8%1x
69.8%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
Calls

3 calls:

6.0ms
tau
4.0ms
(*.f32 x (PI.f32))
4.0ms
x
Results
AccuracySegmentsBranch
69.8%1tau
69.8%1x
69.8%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
Outputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Calls

3 calls:

7.0ms
tau
3.0ms
(*.f32 x (PI.f32))
3.0ms
x
Results
AccuracySegmentsBranch
64.0%1tau
64.0%1x
64.0%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
Calls

3 calls:

2.0ms
(*.f32 x (PI.f32))
2.0ms
x
2.0ms
tau
Results
AccuracySegmentsBranch
63.9%1tau
63.9%1x
63.9%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
Outputs
#s(literal 1 binary32)
Calls

2 calls:

0.0ms
tau
0.0ms
x
Results
AccuracySegmentsBranch
63.1%1x
63.1%1tau
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
78×+-commutative
42×add0
34×*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051618
1118618
2155618
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
#s(literal 1 binary32)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 x (PI.f32)) tau) #s(literal 2 binary32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) x)) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32))) tau) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 x tau))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))) (*.f32 x tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))
#s(literal 1 binary32)

soundness1.8s (14.7%)

Rules
1534×associate-*l*
1200×div-sub
1074×fma-define
1068×associate-*r/
996×add0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030676
1591619
26731619
040624
1759624
038663
1144663
2750631
33878631
46994631
040398
1755384
0106559466
1367156334
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1358 to 391 computations (71.2% saved)

preprocess76.0ms (0.6%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1272 to 510 computations (59.9% saved)

end0.0ms (0%)

Profiling

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