Lanczos kernel

Time bar (total: 13.1s)

analyze1.0ms (0%)

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

Compiled 38 to 24 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-pi, time spent: 0.0ms, 0.0% of total-time
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-and, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-<=, time spent: 0.0ms, 0.0% of total-time
Operation ival-sin, time spent: 0.0ms, 0.0% of total-time

sample2.6s (20.2%)

Results
2.4s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
Operation ival-mult, time spent: 451.0ms, 35.0% of total-time
Operation ival-sin, time spent: 402.0ms, 31.0% of total-time
Operation ival-<=, time spent: 149.0ms, 12.0% of total-time
Operation ival-div, time spent: 136.0ms, 11.0% of total-time
Operation ival-pi, time spent: 93.0ms, 7.0% of total-time
Operation ival-and, time spent: 30.0ms, 2.0% of total-time
Operation const, time spent: 22.0ms, 2.0% of total-time
Bogosity

preprocess483.0ms (3.7%)

Algorithm
egg-herbie
Rules
1984×fma-define
834×associate-*l*
764×distribute-lft-neg-in
760×distribute-frac-neg2
668×times-frac
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-2(0.9963343143463135 3.0391483306884766)(sin.f32 (*.f32 x (PI.f32)))
10-1(0.9963343143463135 3.0391483306884766)(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
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)
Iterations

Useful iterations: 2 (0.0ms)

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

(abs x)

(abs tau)

Compiler

Compiled 153 to 38 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 188.0ms
Operation ival-div, time spent: 138.0ms, 73.0% of total-time
Operation ival-sin, time spent: 25.0ms, 13.0% of total-time
Operation ival-mult, time spent: 19.0ms, 10.0% of total-time
Operation ival-pi, time spent: 5.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 65 to 21 computations (67.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%
(*.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)))))
97.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Compiler

Compiled 92 to 44 computations (52.2% saved)

localize432.0ms (3.3%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.1%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
99.0%
(*.f32 x (PI.f32))
98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
99.0%
(*.f32 x (PI.f32))
98.9%
(*.f32 (PI.f32) (*.f32 x tau))
98.8%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
99.0%
(*.f32 (PI.f32) tau)
98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
98.9%
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
98.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
99.0%
(*.f32 (PI.f32) tau)
98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
98.8%
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
98.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Compiler

Compiled 273 to 33 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
Operation ival-mult, time spent: 36.0ms, 51.0% of total-time
Operation ival-sin, time spent: 22.0ms, 31.0% of total-time
Operation ival-div, time spent: 8.0ms, 11.0% of total-time
Operation ival-pi, time spent: 4.0ms, 6.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series52.0ms (0.4%)

Counts
16 → 272
Calls
Call 1
Inputs
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))>
#<alt (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))>
#<alt (*.f32 (PI.f32) tau)>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))>
#<alt (*.f32 (*.f32 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 (*.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 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (*.f32 x (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (*.f32 x (PI.f32))>
#<alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
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#<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 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

78 calls:

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

rewrite381.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1266×log1p-expm1-u
458×associate-*r*
406×times-frac
299×expm1-log1p-u
296×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029634
1536568
25530568
Stop Event
node limit
Counts
16 → 501
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (PI.f32) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 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))))
(*.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 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 x (PI.f32))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(exp.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(exp.f32 (log.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (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))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.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 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (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 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 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (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 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 x (PI.f32))))
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(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x tau)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) tau) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (*.f32 (PI.f32) tau)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (*.f32 x (PI.f32))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) tau))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (*.f32 x tau)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) tau)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x tau)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x tau)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) tau) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) tau))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 x) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 x (PI.f32))))
(exp.f32 (log.f32 (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))

simplify287.0ms (2.2%)

Algorithm
egg-herbie
Rules
1430×associate-*r*
1414×times-frac
1182×associate-*l*
792×associate-/r*
702×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077339775
1199937483
Stop Event
node limit
Counts
773 → 393
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
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(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) tau)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x tau)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x tau)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) tau) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) tau))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 x) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 x (PI.f32))))
(exp.f32 (log.f32 (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 2 binary32)))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 tau #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) #s(literal -1/5040 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
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(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
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(expm1.f32 (log1p.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
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eval171.0ms (1.3%)

Compiler

Compiled 17771 to 4937 computations (72.2% saved)

prune422.0ms (3.2%)

Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New63431665
Fresh000
Picked044
Done000
Total63435669
Accuracy
99.8%
Counts
669 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.7%
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (PI.f32))
97.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
97.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))))
97.3%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
64.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
98.1%
(*.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))))
98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
97.7%
(*.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 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x)))))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
97.3%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.8%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
70.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
97.7%
(*.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)))))
97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))))
97.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
95.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)))
95.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))))
97.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
97.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))))
96.7%
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
63.7%
#s(literal 1 binary32)
Compiler

Compiled 1508 to 856 computations (43.2% saved)

localize589.0ms (4.5%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.5%
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
99.0%
(*.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))))
98.7%
(*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
96.9%
(pow.f32 (PI.f32) #s(literal 2 binary32))
99.0%
(*.f32 x (PI.f32))
98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
98.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
98.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
98.9%
(*.f32 (PI.f32) (*.f32 x tau))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
98.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
99.1%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
99.0%
(*.f32 x (PI.f32))
98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
98.8%
(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
Compiler

Compiled 285 to 81 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 239.0ms
Operation ival-pow, time spent: 90.0ms, 38.0% of total-time
Operation composed, time spent: 34.0ms, 14.0% of total-time
Operation ival-mult, time spent: 34.0ms, 14.0% of total-time
Operation ival-sin, time spent: 23.0ms, 10.0% of total-time
Operation ival-div, time spent: 14.0ms, 6.0% of total-time
Operation ival-add, time spent: 14.0ms, 6.0% of total-time
Operation ival-log, time spent: 9.0ms, 4.0% of total-time
Operation ival-exp, time spent: 7.0ms, 3.0% of total-time
Operation ival-pi, time spent: 6.0ms, 3.0% of total-time
Operation const, time spent: 5.0ms, 2.0% of total-time
Operation ival-sub, time spent: 3.0ms, 1.0% of total-time

series30.0ms (0.2%)

Counts
12 → 196
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)>
#<alt (pow.f32 (PI.f32) #s(literal 2 binary32))>
#<alt (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.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))))>
#<alt (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))>
Outputs
#<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 #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 (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)))))>
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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)))))>
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#<alt (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))>
#<alt (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))>
#<alt (pow.f32 (PI.f32) #s(literal 2 binary32))>
#<alt (+.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)))>
#<alt (+.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)))>
#<alt (+.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)))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 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))))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 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))))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 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))))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 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))))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 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))))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 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))))>
#<alt (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (+.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 (*.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 (*.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 -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 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)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32)))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32)))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32)))))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 tau #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) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 tau #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) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 tau #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)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 tau #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) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 tau #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) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 x #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 (*.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 -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (*.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 -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (*.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 -1/6 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 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.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 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 tau #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32))))))>
#<alt (*.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 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 tau #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32))))))>
#<alt (*.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 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 tau #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32))))))>
#<alt (*.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 (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 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 tau #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32))))))>
#<alt (*.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 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 tau #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32))))))>
#<alt (*.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 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 tau #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32))))))>
Calls

51 calls:

TimeVariablePointExpression
4.0ms
tau
@-inf
(/ (sin (* x (PI))) (* (PI) (* x tau)))
1.0ms
x
@-inf
(* (/ (sin (* x (PI))) (* (PI) (* x tau))) (sin (* (PI) (* x tau))))
1.0ms
x
@0
(* (/ (sin (* x (PI))) (* (PI) (* x tau))) (sin (* (PI) (* x tau))))
1.0ms
x
@inf
(* (/ (sin (* x (PI))) (* (PI) (* x tau))) (sin (* (PI) (* x tau))))
1.0ms
tau
@-inf
(* (/ (sin (* x (PI))) (* (PI) (* x tau))) (sin (* (PI) (* x tau))))

rewrite156.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
542×times-frac
500×associate-*r*
372×associate-*l*
284×frac-times
247×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038524
1632506
Stop Event
node limit
Counts
12 → 467
Calls
Call 1
Inputs
(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(pow.f32 (PI.f32) #s(literal 2 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 -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
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(*.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (cbrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(exp.f32 (log.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))

simplify320.0ms (2.4%)

Algorithm
egg-herbie
Rules
1676×times-frac
1328×associate-*l/
1084×fma-define
760×associate-/r*
672×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0111337468
1296436241
Stop Event
node limit
Counts
663 → 603
Calls
Call 1
Inputs
#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)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (neg.f32 x)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 x)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 x)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 x)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 x)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 x)))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal 2 binary32))
(pow.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(*.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))))
(exp.f32 (log.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 2 binary32))))
(+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 1 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 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 tau #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32)))))
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -1 binary32))) (fma.f32 tau tau #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (pow.f32 tau #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 tau #s(literal 2 binary32)))))
(/.f32 (*.f32 (+.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal -1 binary32)))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))))
(exp.f32 (log.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) (sqrt.f32 #s(literal -1/6 binary32))) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 1/36 binary32)))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(exp.f32 (log.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (cbrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(exp.f32 (log.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
Outputs
#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)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
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(/.f32 (+.f32 (pow.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal -1/216 binary32))) (+.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1/6 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)))) #s(literal -1 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1 binary32)))
(/.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 4 binary32))) #s(literal -1 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1 binary32)))
(pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(pow.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(fabs.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(log.f32 (exp.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(cbrt.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(expm1.f32 (log1p.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32))))
(expm1.f32 (log1p.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(exp.f32 (log.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (hypot.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32))

eval345.0ms (2.6%)

Compiler

Compiled 31074 to 9751 computations (68.6% saved)

prune229.0ms (1.7%)

Pruning

39 alts after pruning (34 fresh and 5 done)

PrunedKeptTotal
New1093191112
Fresh111526
Picked325
Done134
Total1108391147
Accuracy
99.9%
Counts
1147 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.7%
(fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32))
96.3%
(/.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))) #s(literal 3 binary32)) (*.f32 x (PI.f32)))
97.4%
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x) (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
97.4%
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) tau) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
97.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
82.0%
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))))) #s(literal 1 binary32)) (*.f32 x (PI.f32)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau)) (*.f32 x (PI.f32)))
70.5%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
96.2%
(/.f32 (*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (PI.f32))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) tau)))
96.5%
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
97.3%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
64.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
97.7%
(*.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 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
70.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (PI.f32)))
97.4%
(*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32))))
97.3%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
97.3%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32))))
96.8%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
70.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
97.7%
(*.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)))))
97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))))
97.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
95.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)))
96.7%
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
63.7%
#s(literal 1 binary32)
Compiler

Compiled 1653 to 939 computations (43.2% saved)

localize492.0ms (3.8%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
98.9%
(*.f32 (PI.f32) (*.f32 x tau))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
98.7%
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
97.9%
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
98.9%
(*.f32 (PI.f32) (*.f32 x tau))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
98.7%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
98.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
99.0%
(*.f32 (PI.f32) tau)
98.8%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))
98.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
99.1%
(sin.f32 (*.f32 x (PI.f32)))
99.0%
(*.f32 x (PI.f32))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
98.9%
(*.f32 (PI.f32) (*.f32 x tau))
98.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
98.8%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
Compiler

Compiled 356 to 41 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
Operation ival-mult, time spent: 29.0ms, 34.0% of total-time
Operation ival-div, time spent: 19.0ms, 22.0% of total-time
Operation ival-sin, time spent: 17.0ms, 20.0% of total-time
Operation ival-log, time spent: 14.0ms, 16.0% of total-time
Operation ival-exp, time spent: 4.0ms, 5.0% of total-time
Operation ival-pi, time spent: 3.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

series40.0ms (0.3%)

Counts
12 → 268
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))>
#<alt (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))>
#<alt (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))>
#<alt (/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))>
Outputs
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))>
#<alt (*.f32 tau (+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))))>
#<alt (*.f32 tau (+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 8 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))))))))))))))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.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)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
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#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) tau)>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) tau)) (/.f32 #s(literal 1 binary32) tau))>
#<alt (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) tau)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) tau)))) (/.f32 #s(literal 1 binary32) tau))>
#<alt (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) 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 6 binary32))) tau)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau)))))) (/.f32 #s(literal 1 binary32) tau))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
Calls

69 calls:

TimeVariablePointExpression
7.0ms
x
@0
(sin (* x (PI)))
3.0ms
tau
@0
(/ (* (sin (* x (PI))) (sin (* (PI) (* x tau)))) (* x (PI)))
1.0ms
x
@0
(/ (* (sin (* x (PI))) (sin (* (PI) (* x tau)))) (* x (PI)))
1.0ms
x
@-inf
(/ (* (sin (* x (PI))) (sin (* (PI) (* x tau)))) (* x (PI)))
1.0ms
tau
@-inf
(* (/ (/ (sin (* x (PI))) (* x (* (PI) tau))) x) (/ (sin (* x (* (PI) tau))) (PI)))

rewrite237.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
810×times-frac
540×associate-*r*
492×frac-times
402×associate-*l*
231×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032644
1598635
Stop Event
node limit
Counts
12 → 736
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.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 (PI.f32) tau)))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (PI.f32)) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
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(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (PI.f32) tau)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x tau)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x tau)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) tau))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)))

simplify635.0ms (4.9%)

Algorithm
egg-herbie
Rules
1396×fma-define
1000×*-commutative
544×distribute-lft-in
542×distribute-rgt-in
420×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0138576543
1413675735
Stop Event
node limit
Counts
1004 → 742
Calls
Call 1
Inputs
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 tau (sin.f32 (*.f32 x (PI.f32))))
(*.f32 tau (+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))
(*.f32 tau (+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))))
(*.f32 tau (+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 8 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))))))))))))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(*.f32 tau (+.f32 (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))))
(*.f32 tau (+.f32 (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
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(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))
(pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))) (*.f32 x (PI.f32))))
(neg.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))))
(exp.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x tau)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x tau)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 x (PI.f32))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) tau))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 x tau)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (PI.f32) tau)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x tau)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x tau)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) tau))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)))
Outputs
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))
(*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))))))
(*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))
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(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)

eval440.0ms (3.4%)

Compiler

Compiled 45525 to 12579 computations (72.4% saved)

prune402.0ms (3.1%)

Pruning

51 alts after pruning (46 fresh and 5 done)

PrunedKeptTotal
New1632341666
Fresh171229
Picked235
Done325
Total1654511705
Accuracy
99.9%
Counts
1705 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.7%
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
68.2%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) #s(literal 2 binary32)) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
97.4%
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x) (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
68.1%
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
70.7%
(/.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
96.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
97.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.4%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 x)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau)) (*.f32 x (PI.f32)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))))
96.9%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
70.5%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
96.2%
(/.f32 (*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))
96.5%
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
64.7%
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
63.6%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
64.4%
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
97.8%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
97.5%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))
64.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
84.3%
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))) (*.f32 (PI.f32) (*.f32 x tau)))
97.2%
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32))) x) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
70.6%
(*.f32 (/.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
64.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 tau x))
82.3%
(*.f32 (/.f32 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
64.5%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
70.6%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
70.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
64.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
96.7%
(*.f32 (/.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
97.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) tau))
64.5%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.8%
(*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
70.6%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
97.7%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
70.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))))
70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
96.7%
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
98.0%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))
64.5%
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
63.7%
#s(literal 1 binary32)
Compiler

Compiled 2060 to 1201 computations (41.7% saved)

localize630.0ms (4.8%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.0%
(*.f32 (PI.f32) tau)
98.9%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
98.8%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
98.6%
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
99.0%
(*.f32 (PI.f32) tau)
98.9%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x))
98.9%
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32))
98.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))
99.0%
(*.f32 x (PI.f32))
98.9%
(*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
98.9%
(*.f32 (PI.f32) (*.f32 x tau))
98.6%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
99.3%
(*.f32 tau (*.f32 x (PI.f32)))
99.0%
(*.f32 x (PI.f32))
98.9%
(*.f32 (PI.f32) (*.f32 x tau))
99.0%
(*.f32 x (PI.f32))
99.0%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
98.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))
Compiler

Compiled 304 to 56 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
Operation ival-mult, time spent: 77.0ms, 54.0% of total-time
Operation ival-div, time spent: 38.0ms, 27.0% of total-time
Operation ival-sin, time spent: 23.0ms, 16.0% of total-time
Operation ival-pi, time spent: 3.0ms, 2.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time

series89.0ms (0.7%)

Counts
11 → 240
Calls
Call 1
Inputs
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))>
#<alt (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32))>
#<alt (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x))>
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))>
#<alt (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))>
Outputs
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
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#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 8 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))))))))))))))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.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)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))))>
#<alt (*.f32 tau (+.f32 (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.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 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
Calls

66 calls:

TimeVariablePointExpression
61.0ms
tau
@-inf
(* (* x (* (PI) tau)) (PI))
1.0ms
tau
@0
(* (sin (* x (PI))) (/ (sin (* x (* (PI) tau))) x))
1.0ms
x
@0
(* (sin (* x (PI))) (/ (sin (* x (* (PI) tau))) x))
1.0ms
tau
@0
(* (* x (* (PI) tau)) (PI))
1.0ms
x
@0
(* (/ 1 tau) (sin (* (PI) (* x tau))))

rewrite217.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
952×times-frac
422×frac-times
268×cbrt-prod
262×add-exp-log
262×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035612
1675568
Stop Event
node limit
Counts
11 → 359
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.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)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.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)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 3 binary32)))
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(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32))))
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(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x (*.f32 (*.f32 tau (PI.f32)) (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) (*.f32 tau (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 tau (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 (PI.f32) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x (*.f32 (*.f32 tau (PI.f32)) (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 (*.f32 tau (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (*.f32 (PI.f32) (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (*.f32 (*.f32 tau (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32))) (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))
(exp.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))) #s(literal 1 binary32)))

simplify566.0ms (4.3%)

Algorithm
egg-herbie
Rules
1240×associate-*r/
1208×fma-define
1082×associate-*l/
732×associate-/l*
620×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0110038961
1305537941
2759037916
Stop Event
node limit
Counts
599 → 580
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (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 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))
(/.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)
(/.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)
(/.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 (sin.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 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 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 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 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 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 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 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 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 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 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 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 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 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 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) 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 tau (*.f32 x (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) 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 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) 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 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) 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 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))) #s(literal 1 binary32))
(-.f32 (/.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (/.f32 (cos.f32 (fma.f32 x (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) (cos.f32 (fma.f32 x (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) (cos.f32 (fma.f32 x (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (cos.f32 (+.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) (cos.f32 (fma.f32 x (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))) #s(literal -2 binary32))
(pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x (*.f32 (*.f32 tau (PI.f32)) (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) (*.f32 tau (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 tau (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 (PI.f32) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32))))
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x (*.f32 (*.f32 tau (PI.f32)) (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 (*.f32 tau (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (*.f32 (PI.f32) (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (*.f32 (*.f32 tau (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32))) (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))
(exp.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))) #s(literal 1 binary32)))
Outputs
(/.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 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 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 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 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 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (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 -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) (*.f32 tau (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 tau (PI.f32)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 (PI.f32) (*.f32 tau (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x (*.f32 (*.f32 tau (PI.f32)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 (*.f32 tau (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (*.f32 (PI.f32) (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (*.f32 (*.f32 tau (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32))) (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) tau)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))) #s(literal 3 binary32))
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) tau)
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) tau)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))) #s(literal 2 binary32))
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) tau)
(pow.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) tau)) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) tau))
(log.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) tau)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))))))
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) tau)
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) tau)
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 x (PI.f32)) tau) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))))
(cbrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (*.f32 x (PI.f32)) tau) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 x (PI.f32)) tau) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))))
(cbrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (*.f32 x (PI.f32)) tau) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 x (PI.f32)) tau) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))))
(cbrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (*.f32 x (PI.f32)) tau) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 x (PI.f32)) tau) #s(literal 3 binary32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) tau))))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) tau)))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) tau)
(exp.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))))
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) tau)
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal -2 binary32)) tau)

eval418.0ms (3.2%)

Compiler

Compiled 34801 to 10470 computations (69.9% saved)

prune775.0ms (5.9%)

Pruning

66 alts after pruning (57 fresh and 9 done)

PrunedKeptTotal
New1364251389
Fresh93241
Picked145
Done055
Total1374661440
Accuracy
99.9%
Counts
1440 → 66
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal 1 binary32))
64.7%
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
70.7%
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) #s(literal -1 binary32))
68.2%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) #s(literal 2 binary32)) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
97.4%
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x) (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
68.1%
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
70.7%
(/.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
96.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
70.7%
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau) (*.f32 x (PI.f32)))
70.6%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32)))
55.6%
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
68.1%
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) tau))) (cos.f32 (*.f32 (+.f32 tau #s(literal 1 binary32)) (*.f32 x (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau)) (*.f32 x (PI.f32)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))))
68.3%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) (cos.f32 (fma.f32 x (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
96.9%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
70.5%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
96.2%
(/.f32 (*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau)))) (PI.f32)))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
96.5%
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
64.7%
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
55.7%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
63.6%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
55.4%
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
54.7%
(/.f32 (*.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
70.7%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
97.8%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
97.5%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))
64.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
84.3%
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))) (*.f32 (PI.f32) (*.f32 x tau)))
55.3%
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
97.2%
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32))) x) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
70.6%
(*.f32 (/.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
64.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 tau x))
70.6%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
82.3%
(*.f32 (/.f32 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
64.5%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
70.5%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x))
70.6%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
70.5%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
68.3%
(*.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) (cos.f32 (fma.f32 x (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
68.1%
(*.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (*.f32 (*.f32 tau (PI.f32)) (PI.f32))))
64.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
96.7%
(*.f32 (/.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
97.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) tau))
70.6%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (PI.f32)))
64.5%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
70.7%
(*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
97.8%
(*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
70.6%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
97.7%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
70.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
96.7%
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.5%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
70.5%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
63.7%
#s(literal 1 binary32)
Compiler

Compiled 3653 to 1362 computations (62.7% saved)

regimes187.0ms (1.4%)

Counts
113 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 tau x))
(*.f32 (/.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(/.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) #s(literal -1 binary32))
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (*.f32 (*.f32 tau (PI.f32)) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32))) x) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (PI.f32))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau)) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) tau) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x) (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 x)))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (PI.f32))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) #s(literal 2 binary32)) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) tau))) (cos.f32 (*.f32 (+.f32 tau #s(literal 1 binary32)) (*.f32 x (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) (cos.f32 (fma.f32 x (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(*.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) (cos.f32 (fma.f32 x (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (log.f32 (exp.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(/.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau)))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))) #s(literal 3 binary32)) (*.f32 x (PI.f32)))
(*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (/.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 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))))) #s(literal 1 binary32)) (*.f32 x (PI.f32)))
(*.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 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))))
Calls

4 calls:

88.0ms
(*.f32 x (PI.f32))
32.0ms
x
31.0ms
tau
28.0ms
(*.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
98.1%1x
98.1%1tau
98.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.1%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes45.0ms (0.3%)

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

3 calls:

15.0ms
x
13.0ms
(*.f32 x (PI.f32))
13.0ms
tau
Results
AccuracySegmentsBranch
98.0%1x
98.0%1tau
98.0%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes35.0ms (0.3%)

Counts
36 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 tau x))
(*.f32 (/.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(/.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (*.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)) #s(literal -1 binary32))
(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 x (PI.f32)))
Outputs
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Calls

3 calls:

13.0ms
tau
11.0ms
(*.f32 x (PI.f32))
11.0ms
x
Results
AccuracySegmentsBranch
70.7%1x
70.7%1tau
70.7%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
Outputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Calls

3 calls:

3.0ms
(*.f32 x (PI.f32))
3.0ms
x
2.0ms
tau
Results
AccuracySegmentsBranch
64.6%1tau
64.6%1x
64.6%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
Outputs
#s(literal 1 binary32)
Calls

2 calls:

2.0ms
x
1.0ms
tau
Results
AccuracySegmentsBranch
63.7%1tau
63.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
021263
131263
Stop Event
fuel
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 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
#s(literal 1 binary32)
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 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) 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)))
#s(literal 1 binary32)
Compiler

Compiled 73 to 36 computations (50.7% saved)

soundness1.3s (9.7%)

Rules
1984×fma-define
1396×fma-define
1266×log1p-expm1-u
1240×associate-*r/
1208×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029634
1536568
25530568
038663
1112663
2494631
32565631
45282631
57342631
0110038961
1305537941
2759037916
0138576543
1413675735
032644
1598635
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1019 to 205 computations (79.9% saved)

end0.0ms (0%)

preprocess48.0ms (0.4%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 728 to 286 computations (60.7% saved)

Profiling

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