Lanczos kernel

Time bar (total: 12.5s)

analyze20.0ms (0.2%)

Memory
-5.6MiB live, 33.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.8s (14.8%)

Memory
62.8MiB live, 2 860.0MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 381.0ms (31.4% of total)
ival-sin: 292.0ms (24% of total)
ival-div: 216.0ms (17.8% of total)
ival-<=: 137.0ms (11.3% of total)
...in/eval/compile.rkt:77:19: 120.0ms (9.9% of total)
ival-pi: 39.0ms (3.2% of total)
ival-and: 20.0ms (1.6% of total)
...in/eval/compile.rkt:76:19: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess123.0ms (1%)

Memory
3.2MiB live, 160.6MiB allocated
Algorithm
egg-herbie
Rules
1 984×fma-define
834×associate-*l*
764×distribute-lft-neg-in
760×distribute-frac-neg2
668×times-frac
Iterations

Useful iterations: 2 (0.0ms)

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

explain132.0ms (1.1%)

Memory
-2.1MiB live, 398.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-2(0.9209941625595093 2.1614062786102295)(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(*.f32 x (PI.f32))
00-0-(sin.f32 (*.f32 x (PI.f32)))
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-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Confusion
Predicted +Predicted -
+02
-0254
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+011
-00254
Precision?
1.0
Recall?
0.5
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms512×0valid
Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sin: 12.0ms (39.1% of total)
ival-mult: 9.0ms (29.3% of total)
ival-div: 7.0ms (22.8% of total)
ival-pi: 2.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Compiler

Compiled 65 to 21 computations (67.7% saved)

prune2.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
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))))
98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Compiler

Compiled 92 to 44 computations (52.2% saved)

simplify40.0ms (0.3%)

Memory
-23.0MiB live, 58.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 x (PI.f32)) tau)
cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff0
(*.f32 (PI.f32) (*.f32 x tau))
cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff0
(*.f32 (PI.f32) tau)
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
cost-diff0
(*.f32 (PI.f32) tau)
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Rules
602×times-frac
514×associate-/r*
366×associate-*r/
178×associate-*l/
86×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0311125
1801125
22301125
36871125
410691125
511191125
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))

localize173.0ms (1.4%)

Memory
-6.3MiB live, 272.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy99.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy98.7%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy99.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.7%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
accuracy99.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
accuracy98.9%
(*.f32 (PI.f32) tau)
accuracy98.8%
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
accuracy98.7%
(*.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)))))
accuracy99.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
accuracy98.9%
(*.f32 (PI.f32) tau)
accuracy98.9%
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
accuracy98.7%
(*.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))))))
Samples
56.0ms256×0valid
Compiler

Compiled 272 to 27 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 19.0ms (46.8% of total)
ival-sin: 12.0ms (29.5% of total)
ival-div: 8.0ms (19.7% of total)
ival-pi: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series60.0ms (0.5%)

Memory
40.9MiB live, 157.5MiB allocated
Counts
19 → 400
Calls
Call 1
Inputs
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))>
#<alt (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.f32 x (*.f32 (PI.f32) tau))>
#<alt (*.f32 (PI.f32) tau)>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (*.f32 (*.f32 x (PI.f32)) tau)>
#<alt (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))>
#<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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))>
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#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
Calls

105 calls:

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

rewrite856.0ms (6.9%)

Memory
-146.6MiB live, 579.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 244×log1p-expm1-u
494×associate-*r*
432×times-frac
320×associate-*l*
232×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031847
1595759
25927759
Stop Event
node limit
Counts
19 → 836
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(*.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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.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))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.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 (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 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 (PI.f32) (neg.f32 x)))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (*.f32 x tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (neg.f32 x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (neg.f32 x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 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))))
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(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))
(*.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 x (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) 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))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (PI.f32)))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(-.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 (PI.f32)) x))
(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)))

simplify933.0ms (7.5%)

Memory
38.1MiB live, 1 380.0MiB allocated
Algorithm
egg-herbie
Rules
1 488×associate-/r*
1 116×associate-/l*
910×associate-*l/
858×associate-*r/
714×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091776034
1250371590
2737571590
Stop Event
node limit
Counts
1 236 → 471
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
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(*.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) (PI.f32)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.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 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
(*.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) (*.f32 (PI.f32) (*.f32 x 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 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
(*.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)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x 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 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.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 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (pow.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 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(cbrt.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)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 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 x (PI.f32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))
(*.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 x (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) 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))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 x (PI.f32)))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (PI.f32)))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(-.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 (PI.f32)) x))
(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)))
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))
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(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 3 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(*.f32 x (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))
(*.f32 x (PI.f32))
(pow.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 x (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))
(*.f32 x (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(fabs.f32 (*.f32 x (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 x (PI.f32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (PI.f32)))))
(*.f32 x (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))
(*.f32 x (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 x (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(*.f32 x (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 x (PI.f32))))
(*.f32 x (PI.f32))
(exp.f32 (log.f32 (*.f32 x (PI.f32))))
(*.f32 x (PI.f32))
(exp.f32 (*.f32 (log.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(*.f32 x (PI.f32))

eval124.0ms (1%)

Memory
2.9MiB live, 194.4MiB allocated
Compiler

Compiled 22 195 to 2 418 computations (89.1% saved)

prune135.0ms (1.1%)

Memory
-15.3MiB live, 383.1MiB allocated
Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New80427831
Fresh000
Picked224
Done000
Total80629835
Accuracy
99.9%
Counts
835 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (*.f32 x tau))
97.5%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) tau) (*.f32 x (PI.f32)))
97.6%
(/.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))))
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) tau))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x tau))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
98.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
66.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
82.1%
(*.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 x (PI.f32))))
95.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (exp.f32 (log.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.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))))
66.2%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
72.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
72.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
87.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.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))
96.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32))))
98.0%
(*.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)))))
97.3%
(*.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)))))
97.6%
(*.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))))))
97.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))))))
72.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
97.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
97.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.5%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
65.6%
#s(literal 1 binary32)
Compiler

Compiled 1 220 to 689 computations (43.5% saved)

simplify97.0ms (0.8%)

Memory
12.5MiB live, 64.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau)
cost-diff0
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 (PI.f32) tau)
cost-diff0
(PI.f32)
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 tau (*.f32 x (PI.f32)))
cost-diff0
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
cost-diff6400
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
cost-diff6400
(*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)
cost-diff6400
(sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau))
cost-diff6400
(/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Rules
1 656×distribute-lft-in
1 436×distribute-rgt-in
1 430×fma-define
1 222×associate-/r*
908×times-frac
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0461467
11181452
23331416
311401308
421991303
536321299
673811299
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.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 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau))
(*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(log1p.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(*.f32 (*.f32 x (PI.f32)) tau)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
#s(literal 1 binary32)
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(/.f32 (/.f32 (*.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 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.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))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.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 #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))))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau))
#s(literal -1/6 binary32)
(/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau)
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(pow.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))
#s(literal 1 binary32)
(*.f32 tau (PI.f32))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.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 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (pow.f32 x #s(literal 2 binary32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (pow.f32 x #s(literal 2 binary32))))))
(/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau)) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau))
(sin.f32 (*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)
(*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32))
(*.f32 x (PI.f32))
(log1p.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32))
x
(PI.f32)
tau
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)
(*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
#s(literal 1 binary32)
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (pow.f32 x #s(literal 2 binary32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (pow.f32 x #s(literal 2 binary32))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau))
(sin.f32 (*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)
(*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
tau
(*.f32 x (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32))
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (pow.f32 x #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (pow.f32 x #s(literal 2 binary32))))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (pow.f32 x #s(literal 2 binary32))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (pow.f32 x #s(literal 2 binary32)))))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)
(*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau)
(*.f32 (PI.f32) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (pow.f32 x #s(literal 2 binary32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (pow.f32 x #s(literal 2 binary32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32))
x
(PI.f32)
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau))
(sin.f32 (*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)
(*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
tau
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (+.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (PI.f32)))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) x)
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau))
(sin.f32 (*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)
(*.f32 (+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32)) tau)
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.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 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)
(/.f32 (fma.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/6 binary32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)
(/.f32 (fma.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/6 binary32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)
(+.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))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))
(fma.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/6 binary32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))
(fma.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/6 binary32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/6 binary32) tau)))
#s(literal -1/6 binary32)
(/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau)
(*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau))
(*.f32 (PI.f32) (/.f32 (pow.f32 x #s(literal 2 binary32)) tau))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))
(pow.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))
#s(literal 1 binary32)
(*.f32 tau (PI.f32))
(*.f32 (PI.f32) tau)

localize384.0ms (3.1%)

Memory
-22.8MiB live, 213.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(*.f32 tau (PI.f32))
accuracy98.8%
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
accuracy98.8%
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau))
accuracy98.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.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))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.8%
(/.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))))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy99.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
accuracy98.9%
(*.f32 (PI.f32) tau)
accuracy98.8%
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
accuracy98.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
accuracy99.1%
(sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy99.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy98.7%
(/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Samples
183.0ms256×0valid
Compiler

Compiled 344 to 42 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-div: 110.0ms (67.2% of total)
ival-mult: 23.0ms (14.1% of total)
ival-sin: 15.0ms (9.2% of total)
...in/eval/compile.rkt:77:19: 4.0ms (2.4% of total)
ival-log1p: 4.0ms (2.4% of total)
ival-expm1: 2.0ms (1.2% of total)
ival-pow2: 2.0ms (1.2% of total)
ival-pi: 1.0ms (0.6% of total)
ival-add: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series52.0ms (0.4%)

Memory
-2.9MiB live, 76.8MiB allocated
Counts
21 → 312
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau))>
#<alt (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)>
#<alt (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (PI.f32)>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)>
#<alt (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau))>
#<alt (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau)>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))>
#<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) (*.f32 x tau))>
#<alt (/.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))))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))>
#<alt (*.f32 tau (PI.f32))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 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))))))>
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#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau x))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau x))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau x))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau x))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau x)))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau x)))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau x)))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau x)))>
Calls

108 calls:

TimeVariablePointExpression
8.0ms
tau
@0
(* (sin (* x (* (PI) tau))) (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x))
3.0ms
tau
@-inf
(* -1/6 (/ (* (pow x 2) (PI)) tau))
3.0ms
x
@-inf
(* (pow x 2) (PI))
1.0ms
tau
@-inf
(* (sin (* x (* (PI) tau))) (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x))
1.0ms
tau
@inf
(* (sin (* x (* (PI) tau))) (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x))

rewrite187.0ms (1.5%)

Memory
4.6MiB live, 238.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
680×times-frac
290×log1p-expm1-u
288×expm1-log1p-u
284×cbrt-prod
283×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044781
1791777
Stop Event
node limit
Counts
21 → 471
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau))
(*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(PI.f32)
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau))
(/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau)
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (*.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) (*.f32 x tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.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 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(*.f32 tau (PI.f32))
Outputs
(-.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 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
(*.f32 (cbrt.f32 (pow.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 (/.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 (/.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) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))
(*.f32 (/.f32 (pow.f32 (cbrt.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 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x tau)))
(*.f32 (/.f32 (pow.f32 (cbrt.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 (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)))) (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)))) #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)))) (*.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) tau))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau))
(*.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) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 #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 (pow.f32 (cbrt.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 (pow.f32 (cbrt.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 (pow.f32 (cbrt.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 (pow.f32 (cbrt.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 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (pow.f32 (cbrt.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 (pow.f32 (cbrt.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)))) (*.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)))) (*.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)))) (pow.f32 (cbrt.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))
(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 (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 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 x) (PI.f32)) tau))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)))
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(*.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 x (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.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))))
(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 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
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(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x) #s(literal 3 binary32)) (pow.f32 (sin.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 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 x (sqrt.f32 (PI.f32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) tau)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 tau) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) tau))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) tau)))
(exp.f32 (log.f32 (*.f32 (PI.f32) tau)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) tau)) #s(literal 1 binary32)))

simplify527.0ms (4.2%)

Memory
21.9MiB live, 536.8MiB allocated
Algorithm
egg-herbie
Rules
1 552×fma-define
1 296×associate-*r/
1 080×associate-*l/
768×*-commutative
572×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0129942293
1346240937
Stop Event
node limit
Counts
783 → 714
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 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))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 x (PI.f32))
(*.f32 x (PI.f32))
(*.f32 x (PI.f32))
(*.f32 x (PI.f32))
(*.f32 x (PI.f32))
(*.f32 x (PI.f32))
(*.f32 x (PI.f32))
(*.f32 x (PI.f32))
(*.f32 x (PI.f32))
(*.f32 x (PI.f32))
(*.f32 x (PI.f32))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(*.f32 x (PI.f32))
(*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))
(*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
(*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 x (+.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
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#s(literal 1 binary32)
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(pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x) #s(literal 3 binary32)) (pow.f32 (sin.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 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 x (sqrt.f32 (PI.f32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) tau)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 tau) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) tau))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) tau)))
(exp.f32 (log.f32 (*.f32 (PI.f32) tau)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) tau)) #s(literal 1 binary32)))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (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 1/120 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)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (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 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 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)))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (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 -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 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))))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))))))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32)))))))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))
(*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 tau (PI.f32))))
(*.f32 x (fma.f32 tau (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 tau (PI.f32))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)))) (*.f32 tau (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))
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(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
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(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
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(*.f32 tau (fma.f32 x (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32)))))))))
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(*.f32 tau (fma.f32 x (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32))))))))))
(*.f32 tau (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 3 binary32)))) (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
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(*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
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(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))) #s(literal 2 binary32))
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(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)) #s(literal 2 binary32)))
(fabs.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) #s(literal 3 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x) #s(literal 3 binary32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))
(pow.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 3 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(pow.f32 (*.f32 x (sqrt.f32 (PI.f32))) #s(literal 2 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32)))
(fabs.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))) (PI.f32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 3 binary32))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(exp.f32 (log.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 tau (PI.f32))))
(pow.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32))
(*.f32 tau (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))
(*.f32 tau (PI.f32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 tau (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) tau)) #s(literal 2 binary32))
(*.f32 tau (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 tau (PI.f32)) #s(literal 2 binary32)))
(fabs.f32 (*.f32 tau (PI.f32)))
(log.f32 (pow.f32 (exp.f32 tau) (PI.f32)))
(*.f32 tau (PI.f32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) tau))))
(*.f32 tau (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)))
(*.f32 tau (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(*.f32 tau (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 tau (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
(expm1.f32 (log1p.f32 (*.f32 tau (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) tau)))
(*.f32 tau (PI.f32))
(exp.f32 (log.f32 (*.f32 (PI.f32) tau)))
(*.f32 tau (PI.f32))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) tau)) #s(literal 1 binary32)))
(*.f32 tau (PI.f32))

eval153.0ms (1.2%)

Memory
4.6MiB live, 306.7MiB allocated
Compiler

Compiled 35 713 to 4 848 computations (86.4% saved)

prune253.0ms (2%)

Memory
31.8MiB live, 468.1MiB allocated
Pruning

40 alts after pruning (34 fresh and 6 done)

PrunedKeptTotal
New1 232201 252
Fresh81422
Picked145
Done022
Total1 241401 281
Accuracy
99.9%
Counts
1 281 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32))
66.0%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.8%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (*.f32 x tau))
97.5%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) tau) (*.f32 x (PI.f32)))
96.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
96.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.6%
(/.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))))
65.2%
(/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) tau))
85.8%
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x tau))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))))
87.0%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau x))
66.2%
(/.f32 (*.f32 tau (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
65.4%
(/.f32 (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
98.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
66.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.4%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) 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 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
97.4%
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
66.2%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
72.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
98.0%
(*.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)))))
97.3%
(*.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)))))
97.6%
(*.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))))))
72.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
97.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
72.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
72.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
97.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
56.9%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))))))))
97.5%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
66.4%
(*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
65.6%
#s(literal 1 binary32)
Compiler

Compiled 1 606 to 941 computations (41.4% saved)

simplify457.0ms (3.7%)

Memory
-20.2MiB live, 144.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 x tau)
cost-diff0
(PI.f32)
cost-diff0
(*.f32 (PI.f32) (*.f32 x tau))
cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))
cost-diff0
(*.f32 (PI.f32) (*.f32 x tau))
cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
cost-diff0
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
cost-diff0
(*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
cost-diff3232
(/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x)
cost-diff3680
(/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 x (PI.f32))
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
cost-diff0
(*.f32 (PI.f32) x)
cost-diff0
(*.f32 (*.f32 (PI.f32) x) tau)
cost-diff0
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Rules
5 176×associate-/l/
1 656×swap-sqr
1 572×cube-prod
1 342×cube-div
1 108×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0381378
1971356
23111207
320151205
425011193
528671193
631421193
738971193
851241193
959551193
1066991193
1168721193
1269951193
1370211193
1470221193
1571621193
1671701193
1771731193
1871731193
1971731193
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x)
(*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
tau
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 x (PI.f32))
x
(PI.f32)
#s(literal 2 binary32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))
#s(literal 1 binary32)
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) 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 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) x))
(*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x)
(/.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) x)
(*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) x))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (/.f32 tau x))
(*.f32 (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
tau
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
#s(literal 2 binary32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) x)
(*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) x))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (/.f32 tau x))
(*.f32 (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau))
#s(literal 1 binary32)
(/.f32 (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) x))
(*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))

localize123.0ms (1%)

Memory
24.0MiB live, 297.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32))
accuracy98.9%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
accuracy98.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
accuracy98.9%
(*.f32 (PI.f32) tau)
accuracy98.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.5%
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
accuracy100.0%
(PI.f32)
accuracy99.4%
(sin.f32 (*.f32 x (PI.f32)))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy99.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy99.0%
(*.f32 (PI.f32) x)
accuracy99.0%
(*.f32 x (PI.f32))
accuracy99.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy98.7%
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Samples
69.0ms256×0valid
Compiler

Compiled 321 to 34 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 18.0ms (35% of total)
ival-div: 16.0ms (31.1% of total)
ival-sin: 14.0ms (27.2% of total)
ival-pow2: 2.0ms (3.9% of total)
ival-pi: 1.0ms (1.9% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory
-2.9MiB live, 114.2MiB allocated
Counts
18 → 408
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))>
#<alt (*.f32 (*.f32 (PI.f32) x) tau)>
#<alt (*.f32 (PI.f32) x)>
#<alt (/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x)>
#<alt (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))>
#<alt (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 x tau)>
#<alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))>
#<alt (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
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#<alt (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 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)))>
Calls

102 calls:

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

rewrite201.0ms (1.6%)

Memory
-9.8MiB live, 379.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
914×times-frac
410×frac-times
264×cbrt-prod
261×log1p-expm1-u
261×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036756
1670752
Stop Event
node limit
Counts
18 → 541
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x)
(*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32))
Outputs
(-.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 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))
(*.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 (/.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 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (*.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) (neg.f32 (*.f32 (PI.f32) (*.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) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 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) (pow.f32 (cbrt.f32 tau) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (cbrt.f32 tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (sqrt.f32 tau)))
(*.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))
(*.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 (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)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) tau)))
(*.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 (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))) 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))) tau) (/.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))) (*.f32 (PI.f32) x)) (/.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))) (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)))) (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 (PI.f32) x)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) x)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) 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)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (cbrt.f32 tau) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (cbrt.f32 tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 tau)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (sqrt.f32 tau)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) tau))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 tau) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 2 binary32)) (sqrt.f32 tau)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) (sqrt.f32 tau)))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) tau))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 tau) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) (cbrt.f32 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))
(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 (/.f32 #s(literal 1 binary32) (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))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
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(log1p.f32 (expm1.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(exp.f32 (log.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 x))
(pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.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) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (PI.f32)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (cbrt.f32 (PI.f32))))
(pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))

simplify431.0ms (3.5%)

Memory
6.8MiB live, 1 075.9MiB allocated
Algorithm
egg-herbie
Rules
1 306×fma-define
910×*-commutative
492×distribute-rgt-in
492×distribute-lft-in
424×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0148152767
1426451839
Stop Event
node limit
Counts
949 → 861
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 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))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
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#s(literal 1 binary32)
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(*.f32 tau (PI.f32))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))
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(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) x)
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))
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tau
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tau
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(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32)) (*.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (*.f32 (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))))
(/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) (*.f32 (*.f32 x tau) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal -1 binary32)) (*.f32 (PI.f32) (neg.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal -1 binary32)) (*.f32 (neg.f32 (PI.f32)) (neg.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (neg.f32 (PI.f32)) (*.f32 x tau)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x))) (neg.f32 (PI.f32)))
(pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 (PI.f32) (sqrt.f32 (*.f32 x tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x tau)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32)) (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(exp.f32 (log.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 x))
(pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.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) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(*.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (PI.f32)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (cbrt.f32 (PI.f32))))
(pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
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(+.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)))))))))))
(fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (PI.f32)) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32))) (fma.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)))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.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 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)))))))) (*.f32 tau (PI.f32)))
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(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) x)
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tau
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(fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)
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tau
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(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) #s(literal 3 binary32))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(pow.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) #s(literal 3 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) #s(literal 3 binary32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))

eval160.0ms (1.3%)

Memory
28.1MiB live, 366.5MiB allocated
Compiler

Compiled 42 511 to 5 325 computations (87.5% saved)

prune268.0ms (2.2%)

Memory
-11.5MiB live, 589.9MiB allocated
Pruning

49 alts after pruning (39 fresh and 10 done)

PrunedKeptTotal
New1 626151 641
Fresh52429
Picked145
Done066
Total1 632491 681
Accuracy
99.9%
Counts
1 681 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(/.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (sqrt.f32 tau))) #s(literal 2 binary32)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
66.0%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.8%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (*.f32 x tau))
97.5%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) tau) (*.f32 x (PI.f32)))
96.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) x)) (*.f32 (PI.f32) tau))
96.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.6%
(/.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))))
65.2%
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
66.1%
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) tau))
85.8%
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
65.3%
(/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
97.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x tau))
65.4%
(/.f32 (*.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)) (*.f32 tau (*.f32 x (PI.f32))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
87.0%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau x))
65.3%
(/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
66.2%
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
66.2%
(/.f32 (*.f32 tau (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
65.4%
(/.f32 (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
98.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
66.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
66.2%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) 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 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
66.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
85.8%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) #s(literal 1 binary32)) (PI.f32)))
97.4%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
84.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))))
66.2%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.2%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
72.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
98.0%
(*.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)))))
97.3%
(*.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)))))
97.6%
(*.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))))))
72.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
97.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
72.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
72.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
97.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
56.9%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))))))))
66.3%
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
97.5%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
66.4%
(*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
65.6%
#s(literal 1 binary32)
Compiler

Compiled 1 845 to 1 102 computations (40.3% saved)

simplify332.0ms (2.7%)

Memory
10.3MiB live, 128.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f32)
cost-diff0
(/.f32 #s(literal 1 binary32) (PI.f32))
cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
cost-diff128
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
cost-diff0
(*.f32 x (PI.f32))
cost-diff0
(*.f32 tau (*.f32 x (PI.f32)))
cost-diff0
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
cost-diff0
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
cost-diff0
(*.f32 x (PI.f32))
cost-diff0
(*.f32 tau (*.f32 x (PI.f32)))
cost-diff0
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
cost-diff64
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
cost-diff0
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
cost-diff0
(*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
cost-diff128
(/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x)
cost-diff576
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 x (PI.f32))
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
Rules
3 114×swap-sqr
2 592×associate-/l/
1 722×cube-div
1 258×associate-*l/
990×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0401654
11251654
24121372
317431354
431081354
533381354
636701354
740381354
840381354
940381354
1040381354
1144061354
1247741354
1351421354
1451421354
1551421354
1665701354
1765741354
1867691354
Stop Event
node limit
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x)
(*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
tau
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(*.f32 tau x)
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(PI.f32)
(/.f32 #s(literal 1 binary32) (*.f32 x tau))
(*.f32 x tau)
x
tau
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
Outputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (/.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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (/.f32 (*.f32 x tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x (/.f32 tau (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))
(*.f32 (*.f32 x tau) (/.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 x (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (/.f32 (*.f32 x tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (PI.f32) (*.f32 x (/.f32 tau (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 x (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x tau))))
(*.f32 (/.f32 tau x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x)
(/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) x)
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) x))
(*.f32 (PI.f32) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) #s(literal 1 binary32))))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 x (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))))
tau
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) x)
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) x))
(*.f32 (PI.f32) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) #s(literal 1 binary32))))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) x) (PI.f32))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x tau))))
(*.f32 (/.f32 tau x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 tau x)
(*.f32 x tau)
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (/.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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 x (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) x)
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) x))
(*.f32 (PI.f32) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) #s(literal 1 binary32))))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (/.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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) x) (PI.f32))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x tau))))
(*.f32 (/.f32 tau x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(PI.f32)
(/.f32 #s(literal 1 binary32) (*.f32 x tau))
(/.f32 (/.f32 #s(literal 1 binary32) x) tau)
(/.f32 (/.f32 #s(literal 1 binary32) tau) x)
(*.f32 x tau)
x
tau
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (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 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))

localize179.0ms (1.4%)

Memory
10.2MiB live, 204.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.6%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
accuracy98.5%
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy99.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
accuracy98.9%
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
accuracy98.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
accuracy99.1%
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
accuracy98.4%
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x))
accuracy99.0%
(*.f32 (PI.f32) x)
accuracy98.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.5%
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.9%
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
Samples
67.0ms256×0valid
Compiler

Compiled 362 to 36 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 24.0ms (47.6% of total)
ival-div: 16.0ms (31.7% of total)
ival-sin: 10.0ms (19.8% of total)
ival-pi: 1.0ms (2% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
4.2MiB live, 41.5MiB allocated
Counts
17 → 332
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x)>
#<alt (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))>
#<alt (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))>
#<alt (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))>
#<alt (/.f32 #s(literal 1 binary32) (PI.f32))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x))>
#<alt (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
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#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 tau (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
#<alt (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))>
#<alt (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))>
#<alt (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (*.f32 x (PI.f32))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32)))>
#<alt (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)>
#<alt (/.f32 (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) tau)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)>
#<alt (/.f32 (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) tau)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau)))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
Calls

93 calls:

TimeVariablePointExpression
19.0ms
x
@inf
(* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) (* x (PI)))
1.0ms
tau
@0
(* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) (* x (PI)))
1.0ms
x
@0
(* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) (* x (PI)))
1.0ms
tau
@-inf
(* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) (* x (PI)))
1.0ms
x
@-inf
(* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) (* x (PI)))

rewrite323.0ms (2.6%)

Memory
17.0MiB live, 169.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
908×times-frac
522×frac-times
308×cbrt-prod
293×add-exp-log
293×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040745
1797729
Stop Event
node limit
Counts
17 → 524
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x)
(*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(sin.f32 (*.f32 tau (*.f32 x (PI.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 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.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)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 tau)) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 tau)) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)) (/.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 x (PI.f32))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (/.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))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 tau)) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 tau)) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)) (/.f32 (cbrt.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)))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.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 (sin.f32 (*.f32 x (PI.f32))) (/.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 (sin.f32 (*.f32 x (PI.f32))) (/.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 (sin.f32 (*.f32 x (PI.f32))) (/.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))
(pow.f32 (/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.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 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.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 (sin.f32 (*.f32 x (PI.f32))) (/.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 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.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))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.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 (sin.f32 (*.f32 x (PI.f32))) (/.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 (sin.f32 (*.f32 x (PI.f32))) (/.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 (sin.f32 (*.f32 x (PI.f32))) (/.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 (/.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) x) (*.f32 x tau))))) #s(literal 1 binary32))
(*.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) x) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) x)) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) x)) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) x) (*.f32 x tau)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (/.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) x) (*.f32 x tau)))))
(*.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) x)) (*.f32 x tau)))
(*.f32 (/.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 tau)) (sqrt.f32 x)) (*.f32 (PI.f32) (sqrt.f32 (*.f32 x tau)))) (/.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 tau)) (sqrt.f32 x)) (*.f32 (PI.f32) (sqrt.f32 (*.f32 x tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) (*.f32 tau (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) x)))
(*.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) x) (/.f32 tau (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 tau x) (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(*.f32 (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) (/.f32 tau x))
(*.f32 (/.f32 tau (*.f32 x (PI.f32))) (/.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 x tau))))
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(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))) #s(literal 1 binary32)))

simplify1.6s (12.9%)

Memory
-26.1MiB live, 722.4MiB allocated
Algorithm
egg-herbie
Rules
830×fma-define
818×associate-/l/
696×*-commutative
634×associate-/r/
350×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0135547682
1380645606
2781245482
Stop Event
node limit
Counts
856 → 750
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.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)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
#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 #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))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sqrt.f32 (*.f32 x tau))) (pow.f32 (*.f32 x tau) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -2 binary32))) x) (/.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) tau))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -2 binary32))) tau) (/.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) x))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 x tau)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -2 binary32))) (pow.f32 (cbrt.f32 (*.f32 x tau)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -2 binary32))) (sqrt.f32 (*.f32 x tau))) (/.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sqrt.f32 (*.f32 x tau))))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) x) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) tau))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) tau) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) x))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 x tau)))
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (pow.f32 (cbrt.f32 (*.f32 x tau)) #s(literal 2 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (cbrt.f32 (*.f32 x tau))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 x tau) #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 x tau))) (PI.f32)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 x tau) #s(literal -2 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 x tau) #s(literal -2 binary32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 x tau))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (pow.f32 (*.f32 x tau) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (*.f32 x tau) #s(literal -1/2 binary32)) (PI.f32)))
(*.f32 (/.f32 (pow.f32 (*.f32 x tau) #s(literal -1/2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (pow.f32 (*.f32 x tau) #s(literal -1/2 binary32)) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (cbrt.f32 (*.f32 x tau)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 x tau))))
(pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 x tau) (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))
(sqrt.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (pow.f32 (*.f32 x tau) #s(literal 2 binary32))))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (neg.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (PI.f32) (sqrt.f32 (*.f32 x tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(exp.f32 (log.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (sqrt.f32 (*.f32 x tau)))) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (sqrt.f32 (*.f32 x tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x 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 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (sqrt.f32 (*.f32 x tau))) (sqrt.f32 x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (sqrt.f32 (*.f32 x tau))) (sqrt.f32 x))))
(*.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)))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (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 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x 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)) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) (sqrt.f32 (*.f32 x tau))) (sqrt.f32 x))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (sqrt.f32 (*.f32 x tau))) (sqrt.f32 x))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (sqrt.f32 (*.f32 x tau)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x 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 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.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 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 2 binary32)))))))) #s(literal 1 binary32))
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(*.f32 tau (*.f32 x (PI.f32)))
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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#s(literal 1 binary32)
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(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 2 binary32)))))))) #s(literal 1 binary32))
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(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(/.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))))))) (pow.f32 (cbrt.f32 (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))) #s(literal 3 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) (sqrt.f32 (*.f32 x tau)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))) #s(literal 3 binary32)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))) #s(literal 3 binary32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))

eval203.0ms (1.6%)

Memory
-7.0MiB live, 306.2MiB allocated
Compiler

Compiled 38 091 to 4 777 computations (87.5% saved)

prune273.0ms (2.2%)

Memory
9.7MiB live, 557.1MiB allocated
Pruning

51 alts after pruning (38 fresh and 13 done)

PrunedKeptTotal
New1 470161 486
Fresh122234
Picked055
Done2810
Total1 484511 535
Accuracy
99.9%
Counts
1 535 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.1%
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
66.0%
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.8%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (*.f32 x tau))
97.5%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) tau) (*.f32 x (PI.f32)))
96.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) x)) (*.f32 (PI.f32) tau))
96.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.6%
(/.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))))
65.2%
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.5%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) tau))
85.8%
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
65.4%
(/.f32 (*.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)) (*.f32 tau (*.f32 x (PI.f32))))
65.4%
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
72.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 x tau))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
87.0%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau x))
96.3%
(/.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (PI.f32))))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
98.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
66.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
72.7%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
97.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
66.2%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
65.6%
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
98.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
66.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
85.8%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) #s(literal 1 binary32)) (PI.f32)))
97.4%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
84.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))))
66.2%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
85.9%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) #s(literal 1 binary32)) (PI.f32)))
97.2%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
65.4%
(*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x tau) (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
65.5%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
72.7%
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
72.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
98.0%
(*.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)))))
72.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
97.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
72.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
72.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
97.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
97.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
72.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 #s(literal 1 binary32) tau)))
72.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) x)))
72.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
97.1%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau))))
72.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
56.9%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))))))))
97.5%
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
65.6%
#s(literal 1 binary32)
Compiler

Compiled 2 624 to 920 computations (64.9% saved)

regimes134.0ms (1.1%)

Memory
8.8MiB live, 171.6MiB allocated
Counts
82 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x tau) (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (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 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.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) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 x tau))
(/.f32 (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (sqrt.f32 tau))) #s(literal 2 binary32)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) tau))
(/.f32 (/.f32 (*.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 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (*.f32 x tau))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 tau x))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.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 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) (PI.f32)))
(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(*.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau))))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (exp.f32 (log.f32 (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (expm1.f32 (log1p.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 (exp.f32 (log.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (expm1.f32 (log1p.f32 (PI.f32))))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) (/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 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:

33.0ms
(*.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))))
32.0ms
(*.f32 x (PI.f32))
32.0ms
x
31.0ms
tau
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)

regimes49.0ms (0.4%)

Memory
-9.2MiB live, 77.6MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x tau) (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (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 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.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) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 x tau))
(/.f32 (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (sqrt.f32 tau))) #s(literal 2 binary32)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

3 calls:

17.0ms
tau
17.0ms
x
12.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
98.1%1x
98.1%1tau
98.1%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes110.0ms (0.9%)

Memory
-1.3MiB live, 76.3MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x tau) (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (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 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.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) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 x tau))
(/.f32 (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (sqrt.f32 tau))) #s(literal 2 binary32)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
Calls

3 calls:

80.0ms
tau
12.0ms
x
12.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
98.0%1x
98.0%1tau
98.0%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes233.0ms (1.9%)

Memory
33.0MiB live, 72.3MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x tau) (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (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 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.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) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 x tau))
(/.f32 (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (sqrt.f32 tau))) #s(literal 2 binary32)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
Outputs
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
Calls

3 calls:

207.0ms
(*.f32 x (PI.f32))
12.0ms
x
11.0ms
tau
Results
AccuracySegmentsBranch
97.7%1x
97.7%1(*.f32 x (PI.f32))
97.7%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes94.0ms (0.8%)

Memory
-16.0MiB live, 67.2MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x tau) (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (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 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.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) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 x tau))
(/.f32 (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (sqrt.f32 tau))) #s(literal 2 binary32)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
Outputs
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
Calls

3 calls:

68.0ms
x
11.0ms
(*.f32 x (PI.f32))
11.0ms
tau
Results
AccuracySegmentsBranch
97.6%1x
97.6%1tau
97.6%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes35.0ms (0.3%)

Memory
2.5MiB live, 80.3MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x tau) (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (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 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.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) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 x tau))
(/.f32 (*.f32 tau (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 tau (/.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 tau x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (sqrt.f32 tau))) #s(literal 2 binary32)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 x tau))
Calls

3 calls:

11.0ms
(*.f32 x (PI.f32))
11.0ms
x
10.0ms
tau
Results
AccuracySegmentsBranch
72.7%1x
72.7%1tau
72.7%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.2%)

Memory
5.7MiB live, 47.2MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x tau) (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (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 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.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) (PI.f32)) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
Outputs
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
Calls

3 calls:

8.0ms
(*.f32 x (PI.f32))
6.0ms
x
6.0ms
tau
Results
AccuracySegmentsBranch
72.7%1x
72.7%1tau
72.7%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.1%)

Memory
-7.3MiB live, 32.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x tau) (*.f32 x (PI.f32)))) (*.f32 x (/.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))) x) (*.f32 (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:

5.0ms
(*.f32 x (PI.f32))
4.0ms
x
4.0ms
tau
Results
AccuracySegmentsBranch
66.3%1tau
66.3%1x
66.3%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory
13.9MiB live, 13.9MiB allocated
Accuracy

Total -0.2b remaining (-1.8%)

Threshold costs -0.2b (-1.8%)

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

2 calls:

3.0ms
x
2.0ms
tau
Results
AccuracySegmentsBranch
65.6%1tau
65.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0%)

Memory
-28.6MiB live, 10.5MiB allocated
Algorithm
egg-herbie
Rules
30×*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039587
159587
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.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 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 x tau))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
#s(literal 1 binary32)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 x tau))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
#s(literal 1 binary32)

soundness902.0ms (7.2%)

Memory
-8.9MiB live, 768.5MiB allocated
Rules
1 984×fma-define
1 552×fma-define
1 296×associate-*r/
1 080×associate-*l/
908×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0129942293
1346240937
044781
1791777
040745
1797729
038663
1112663
2494631
32565631
45282631
57342631
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 876 to 207 computations (76.4% saved)

preprocess122.0ms (1%)

Memory
15.8MiB live, 134.1MiB allocated
Remove

(abs tau)

(abs x)

Compiler

Compiled 1 158 to 440 computations (62% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...