Metrics for Lanczos kernel

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-pi: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

ival-and: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

ival-<=: 0.0ms (0% of total)

ival-sin: 0.0ms (0% of total)

sample1.9s (15.1%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sin: 299.0ms (26.8% of total)

ival-div: 251.0ms (22.5% of total)

ival-<=: 246.0ms (22% of total)

ival-mult: 238.0ms (21.3% of total)

ival-pi: 40.0ms (3.6% of total)

ival-and: 25.0ms (2.2% of total)

const: 15.0ms (1.3% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess214.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1984×	`fma-define`
834×	`associate-l`
764×	`distribute-lft-neg-in`
760×	`distribute-frac-neg2`
668×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	663
1	112	663
2	494	631
3	2565	631
4	5282	631
5	7342	631

Stop Event

1×	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)

explain135.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.8507488369941711 1.1541972160339355)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	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))))`
0	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`

Results

72.0ms

512×

valid

Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sin: 19.0ms (46.1% of total)

ival-mult: 12.0ms (29.1% of total)

ival-div: 7.0ms (17% of total)

ival-pi: 2.0ms (4.9% of total)

const: 1.0ms (2.4% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 65 to 21 computations (67.7% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
▶	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)

localize278.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (.f32 x (PI.f32)) tau)
✓	cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	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))))
✓	cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
✓	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	cost-diff	0	(*.f32 (PI.f32) tau)
✓	cost-diff	0	(.f32 x (.f32 (PI.f32) tau))
✓	cost-diff	0	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	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)))))
✓	cost-diff	0	(*.f32 (PI.f32) tau)
✓	cost-diff	0	(.f32 x (.f32 (PI.f32) tau))
✓	cost-diff	0	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	0	(.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))))))
✓	accuracy	99.0%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.9%	(.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
✓	accuracy	98.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
✓	accuracy	98.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))

Rules

602×	`times-frac`
514×	`associate-/r*`
366×	`associate-*r/`
178×	`associate-*l/`
86×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	1125
1	80	1125
2	230	1125
3	687	1125
4	1069	1125
5	1119	1125

Stop Event

1×

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)))

Results

191.0ms

256×

valid

Compiler

Compiled 273 to 26 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 61.0ms (71.2% of total)

ival-sin: 15.0ms (17.5% of total)

ival-div: 8.0ms (9.3% of total)

ival-pi: 1.0ms (1.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series69.0ms (0.6%)

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 (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))>
#<alt (*.f32 (PI.f32) tau)>
#<alt (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))>
#<alt (/.f32 (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 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))>
#<alt (.f32 (PI.f32) (.f32 x tau))>
#<alt (*.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 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))>
#<alt (.f32 x (.f32 (PI.f32) tau))>
#<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 (sin.f32 (.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 (.f32 x (PI.f32)) tau)>

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

Calls

105 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-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	x	@	inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))

rewrite560.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`log1p-expm1-u`
494×	`associate-r`
432×	`times-frac`
320×	`associate-l`
232×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	847
1	595	759
2	5926	759

Stop Event

1×	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))))))
(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (PI.f32) tau)
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
(/.f32 (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 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(.f32 (PI.f32) (.f32 x tau))
(*.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))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.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 x (PI.f32))) (*.f32 x (PI.f32))))
(sin.f32 (.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 (.f32 x (PI.f32)) tau)

Outputs
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (.f32 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 (PI.f32) (/.f32 x (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 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))))
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(/.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 x (neg.f32 (PI.f32))))
(/.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))) (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))) (.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 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (PI.f32))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32)) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (cbrt.f32 (pow.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (cbrt.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))) (sqrt.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) x) (PI.f32))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) x)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (cbrt.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (.f32 x (PI.f32)))) (sqrt.f32 (.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)))) 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)))) (PI.f32)) (.f32 x 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)))) (.f32 (PI.f32) tau)) x)
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (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)))) (.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32)) (.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 2 binary32)))) (cbrt.f32 (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (.f32 (PI.f32) (*.f32 x tau))))
(pow.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 3 binary32)) (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 (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 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(exp.f32 (log.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (PI.f32) (.f32 x tau)))))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 x tau))))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 x tau))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)))

simplify863.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

860×	`associate-*l/`
818×	`associate-*r/`
714×	`fma-define`
672×	`div-sub`
490×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	915	75528
1	2484	70630
2	5661	70630

Stop Event

1×	node limit

Counts

1236 → 453

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 (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))))
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(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (cbrt.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (.f32 x (PI.f32)))) (sqrt.f32 (.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)))) 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)))) (PI.f32)) (.f32 x 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)))) (.f32 (PI.f32) tau)) x)
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (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)))) (.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32)) (.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 2 binary32)))) (cbrt.f32 (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (.f32 (PI.f32) (*.f32 x tau))))
(pow.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 3 binary32)) (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 (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 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(exp.f32 (log.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (PI.f32) (.f32 x tau)))))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 x tau))))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 x tau))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)))

Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 tau #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) #s(literal -1/5040 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 2 binary32))) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 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 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 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 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 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 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 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 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 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 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 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 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 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 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
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(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (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 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))))
(expm1.f32 (log1p.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (log.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (.f32 tau (.f32 x (PI.f32)))))
(pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 1 binary32))
(.f32 tau (.f32 x (PI.f32)))
(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32))
(.f32 tau (.f32 x (PI.f32)))
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(.f32 tau (.f32 x (PI.f32)))
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32))
(.f32 tau (.f32 x (PI.f32)))
(sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 2 binary32)))
(.f32 tau (.f32 x (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(.f32 tau (.f32 x (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (PI.f32) (.f32 x tau)))))
(.f32 tau (.f32 x (PI.f32)))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32)))
(.f32 tau (.f32 x (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 tau (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 x tau) #s(literal 3 binary32))))
(.f32 tau (.f32 x (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))))
(.f32 tau (.f32 x (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 tau (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(.f32 tau (.f32 x (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(.f32 tau (.f32 x (PI.f32)))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))
(expm1.f32 (log1p.f32 (.f32 tau (.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 tau (.f32 x (PI.f32)))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 tau (.f32 x (PI.f32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)))
(.f32 tau (.f32 x (PI.f32)))

eval67.0ms (0.5%)

Compiler: Compiled 18725 to 2193 computations (88.3% saved)

prune199.0ms (1.6%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	678	30	708
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	679	33	712

Accuracy

99.8%

Counts

712 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.0%	(fma.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
	97.5%	(/.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) tau)) x)
	97.5%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32))) tau)
	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) x)
	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)
▶	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	97.7%	(/.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))
▶	97.9%	(/.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)))
	97.5%	(/.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 (/.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))))
	97.7%	(/.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))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
	66.5%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.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))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (neg.f32 (PI.f32))))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.2%	(.f32 (/.f32 (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.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))))
	97.2%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	97.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
✓	97.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	72.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	97.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))))
	52.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))))
▶	96.8%	(.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.4%	(.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 1419 to 797 computations (43.8% saved)

localize817.0ms (6.5%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6400	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
✓	cost-diff	6400	(.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))
✓	cost-diff	6400	(sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))))
✓	cost-diff	6400	(.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	64	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
✓	cost-diff	64	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
✓	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
✓	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
✓	cost-diff	0	(/.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)))
	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
	accuracy	98.8%	(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
✓	accuracy	98.6%	(.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
✓	accuracy	98.2%	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.8%	(/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))
✓	accuracy	98.7%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
✓	accuracy	98.6%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.9%	(.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
✓	accuracy	98.7%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(/.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)))

Rules

1486×	`fma-define`
1160×	`associate-r`
1106×	`distribute-lft-in`
928×	`distribute-rgt-in`
926×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1293
1	112	1293
2	370	1283
3	1538	1271
4	3359	1271
5	3836	1271
6	6682	1271
7	7535	1271

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.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 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 (PI.f32) (.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 x (PI.f32))
(sin.f32 (*.f32 x (PI.f32)))
#s(literal 1 binary32)
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 (PI.f32) (.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau))
(.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32)))))
(/.f32 x (sin.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 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 (.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(sin.f32 (*.f32 x (PI.f32)))
(.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))))
(.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))
x
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
(log1p.f32 (*.f32 (PI.f32) tau))
(*.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 x (.f32 (PI.f32) tau))

Outputs
(/.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 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (.f32 (PI.f32) (*.f32 x x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) 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))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) 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))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
#s(literal 1 binary32)
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (.f32 (PI.f32) (*.f32 x x))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
(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 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau))
(.f32 (.f32 x tau) (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 (PI.f32) x)))))
(.f32 (PI.f32) (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))))
(.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) x))))
(.f32 (PI.f32) (.f32 x (/.f32 (.f32 x tau) (sin.f32 (.f32 (PI.f32) x)))))
(.f32 (PI.f32) (/.f32 (.f32 tau (.f32 x x)) (sin.f32 (.f32 (PI.f32) x))))
(.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32)))))
(.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 x (sin.f32 (*.f32 x (PI.f32))))
(/.f32 x (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (.f32 (PI.f32) (*.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))
(*.f32 (PI.f32) x)
x
(PI.f32)
tau
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (.f32 (PI.f32) (*.f32 x x))))
(sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))
(.f32 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
x
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
(+.f32 (*.f32 (PI.f32) tau) #s(literal 0 binary32))
(*.f32 (PI.f32) tau)
(log1p.f32 (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
(+.f32 (*.f32 (PI.f32) tau) #s(literal 0 binary32))
(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) x)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 tau (*.f32 x x)))))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
(.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))
(.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (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 (*.f32 x tau) x))
(.f32 (PI.f32) (.f32 x (*.f32 x tau)))
(.f32 (PI.f32) (.f32 tau (*.f32 x x)))
(.f32 x (.f32 (PI.f32) tau))
(.f32 (PI.f32) (.f32 x tau))

Results

580.0ms

256×

valid

Compiler

Compiled 323 to 35 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 30.0ms (35.7% of total)

ival-sin: 17.0ms (20.2% of total)

ival-div: 14.0ms (16.6% of total)

<compiled-spec>: 11.0ms (13.1% of total)

ival-pi: 3.0ms (3.6% of total)

ival-exp: 3.0ms (3.6% of total)

ival-log: 3.0ms (3.6% of total)

ival-add: 1.0ms (1.2% of total)

ival-sub: 1.0ms (1.2% of total)

const: 1.0ms (1.2% of total)

backward-pass: 0.0ms (0% of total)

series41.0ms (0.3%)

Counts

15 → 324

Calls

Call 1

Inputs
#<alt (/.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)))>
#<alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))>
#<alt (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau))>
#<alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))>
#<alt (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))>
#<alt (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))>
#<alt (.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))>
#<alt (sin.f32 (.f32 (PI.f32) (.f32 x tau)))>
#<alt (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))>
#<alt (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))))>
#<alt (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))>

Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))>
#<alt (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))>
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#<alt tau>
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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)))>

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (/ (sin (* (PI) (* x tau))) (* x (PI))) (sin (* x (PI))))
2.0ms	x	@	inf	(/ (sin (* (PI) (* x tau))) (* x (PI)))
1.0ms	tau	@	0	(* (* (PI) (/ x (sin (* x (PI))))) (* x tau))
1.0ms	x	@	0	(* (/ (sin (* (PI) (* x tau))) (* x (PI))) (sin (* x (PI))))
1.0ms	x	@	0	(* (* (PI) (/ x (sin (* x (PI))))) (* x tau))

rewrite178.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`times-frac`
342×	`frac-times`
302×	`cbrt-prod`
288×	`log1p-expm1-u`
287×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	742
1	744	736

Stop Event

1×	node limit

Counts

15 → 436

Calls

Call 1

Inputs
(/.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 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
(.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
(.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.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 x (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))))
(.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))

Outputs
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))))))) #s(literal 1 binary32))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 #s(literal 1 binary32) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))))) #s(literal 2 binary32))) (cbrt.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))))
(.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))))) (sqrt.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (.f32 x tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (cbrt.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (cbrt.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sqrt.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sqrt.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (cbrt.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (cbrt.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) x))
(.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (cbrt.f32 (.f32 x (.f32 (PI.f32) tau)))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (sqrt.f32 (.f32 x (.f32 (PI.f32) tau)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 x tau)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 2 binary32)) tau) (/.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 x tau)) (/.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (PI.f32)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (/.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) tau))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (PI.f32) tau)) (/.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) x))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (cbrt.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (sqrt.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (sqrt.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (PI.f32)) (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 x tau)))
(.f32 (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 x tau)) (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (PI.f32)))
(.f32 (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) x) (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) tau)) (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) x))
(.f32 (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) tau) (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) tau))
(.f32 (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (cbrt.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (cbrt.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (cbrt.f32 (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (sqrt.f32 (PI.f32)) (.f32 x (sqrt.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) (.f32 x (sqrt.f32 (.f32 (PI.f32) tau))))))
(pow.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))) #s(literal 2 binary32))
(pow.f32 (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (/.f32 (.f32 (PI.f32) tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))))))))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))))) #s(literal 3 binary32)))
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(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x)))) (*.f32 (PI.f32) tau))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (PI.f32)))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau))))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1 binary32)) (.f32 (PI.f32) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 (PI.f32) (neg.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (neg.f32 (.f32 x (*.f32 (PI.f32) tau))))
(pow.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))))
(exp.f32 (log.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (sqrt.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(exp.f32 (log.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) tau))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (.f32 (PI.f32) tau)))))
(cbrt.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.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 tau #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 x (.f32 (PI.f32) tau))))
(log1p.f32 (expm1.f32 (.f32 x (.f32 (PI.f32) tau))))
(exp.f32 (log.f32 (.f32 x (.f32 (PI.f32) tau))))
(exp.f32 (.f32 (log.f32 (.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)))

simplify649.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1422×	`fma-define`
802×	`*-commutative`
702×	`associate-/l/`
598×	`fmm-def`
488×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1239	49999
1	3553	48733
2	7853	48729

Stop Event

1×	node limit

Counts

760 → 705

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 tau (PI.f32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 7 binary32)))) (.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))))))))))))))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
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(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 3 binary32)) (pow.f32 (.f32 x (*.f32 (PI.f32) tau)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))) #s(literal 1 binary32))
(.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))))
(.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x))) (sqrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))))
(.f32 (/.f32 (pow.f32 x #s(literal -1/2 binary32)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sqrt.f32 (.f32 (PI.f32) x))))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (cbrt.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) x))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (sqrt.f32 (.f32 (PI.f32) x))) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (sqrt.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) x))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (cbrt.f32 (*.f32 (PI.f32) x))))
(pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))) #s(literal 2 binary32))
(pow.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (sqrt.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(exp.f32 (log.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))))) #s(literal 1 binary32))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))) (.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x)))) (*.f32 (PI.f32) tau))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (PI.f32)))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau))))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1 binary32)) (.f32 (PI.f32) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 (PI.f32) (neg.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (neg.f32 (.f32 x (*.f32 (PI.f32) tau))))
(pow.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))))
(exp.f32 (log.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (sqrt.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(exp.f32 (log.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) tau))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (.f32 (PI.f32) tau)))))
(cbrt.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.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 tau #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 x (.f32 (PI.f32) tau))))
(log1p.f32 (expm1.f32 (.f32 x (.f32 (PI.f32) tau))))
(exp.f32 (log.f32 (.f32 x (.f32 (PI.f32) tau))))
(exp.f32 (.f32 (log.f32 (.f32 x (*.f32 (PI.f32) 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))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 tau #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) #s(literal -1/5040 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 2 binary32))) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 x (PI.f32))))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 #s(literal -1/5040 binary32) (.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 x #s(literal 5 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 x (PI.f32))))))) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
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(.f32 tau (.f32 x (PI.f32)))
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tau
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tau
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(cbrt.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32))))
(.f32 x (.f32 tau (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(.f32 x (.f32 tau (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(.f32 x (.f32 tau (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(.f32 x (.f32 tau (PI.f32)))
(expm1.f32 (log1p.f32 (.f32 x (.f32 (PI.f32) tau))))
(expm1.f32 (log1p.f32 (.f32 x (.f32 tau (PI.f32)))))
(log1p.f32 (expm1.f32 (.f32 x (.f32 (PI.f32) tau))))
(.f32 x (.f32 tau (PI.f32)))
(exp.f32 (log.f32 (.f32 x (.f32 (PI.f32) tau))))
(.f32 x (.f32 tau (PI.f32)))
(exp.f32 (.f32 (log.f32 (.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)))
(.f32 x (.f32 tau (PI.f32)))

eval154.0ms (1.2%)

Compiler: Compiled 31583 to 3848 computations (87.8% saved)

prune331.0ms (2.6%)

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	1032	21	1053
Fresh	11	14	25
Picked	1	4	5
Done	1	2	3
Total	1045	41	1086

Accuracy

99.8%

Counts

1086 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32))) tau)
	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) x)
	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	96.7%	(/.f32 (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	96.7%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))))) (.f32 x tau)))
	96.1%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))))) (.f32 x tau)))
✓	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
✓	97.9%	(/.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)))
	97.5%	(/.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))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau))))
	97.1%	(/.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))))
▶	97.7%	(/.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))))
	97.0%	(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
▶	97.4%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	65.4%	(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
▶	65.5%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	66.3%	(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	66.5%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	80.3%	(/.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)))) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	96.1%	(.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (.f32 x tau))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	97.2%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) tau))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (.f32 x tau))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 x tau) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))))
	97.6%	(.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.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))))
	97.2%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
✓	97.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
▶	97.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
	72.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	52.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))))
✓	96.8%	(.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.4%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
	97.4%	(.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 1748 to 1009 computations (42.3% saved)

localize414.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
	cost-diff	6400	(.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))
✓	cost-diff	6400	(.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
✓	cost-diff	6400	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
✓	cost-diff	6400	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
✓	cost-diff	0	(.f32 x (.f32 (PI.f32) tau))
✓	cost-diff	0	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
✓	cost-diff	64	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (.f32 x tau))))
✓	cost-diff	0	(.f32 x (.f32 tau (PI.f32)))
✓	cost-diff	0	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	cost-diff	0	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
✓	cost-diff	0	(PI.f32)
	cost-diff	0	(*.f32 x (PI.f32))
✓	cost-diff	0	(.f32 tau (.f32 x (PI.f32)))
✓	cost-diff	320	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	cost-diff	0	(/.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))))
	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
✓	accuracy	98.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
	accuracy	98.2%	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
✓	accuracy	98.9%	(.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
✓	accuracy	98.7%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (.f32 x tau))))
✓	accuracy	98.4%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau)))
	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.9%	(*.f32 tau (PI.f32))
	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.8%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.1%	(.f32 tau (.f32 x (PI.f32)))
	accuracy	99.0%	(*.f32 x (PI.f32))
	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
✓	accuracy	98.7%	(/.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))))

Rules

1350×	`associate-/r/`
1210×	`associate-/r*`
1066×	`associate-l`
960×	`distribute-lft-out`
770×	`swap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	1498
1	129	1406
2	497	1402
3	1743	1390
4	3179	1390
5	5396	1390

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.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 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(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 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(.f32 tau (.f32 x (PI.f32)))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(.f32 (PI.f32) (.f32 x tau))
(*.f32 x tau)
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(.f32 x (.f32 tau (PI.f32)))
x
(*.f32 tau (PI.f32))
tau
(PI.f32)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (PI.f32) (.f32 x tau))
(*.f32 x tau)
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (.f32 x tau))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (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 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau)))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau))
(/.f32 x (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 x tau)
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
(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 (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
(.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
(log1p.f32 (*.f32 (PI.f32) tau))

Outputs
(/.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 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (PI.f32)) (*.f32 (PI.f32) tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (PI.f32))) (.f32 x (*.f32 x tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 x tau) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x)
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(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))
(*.f32 x tau)
tau
(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (.f32 x (PI.f32)) (*.f32 (PI.f32) tau))
(.f32 (.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(.f32 tau (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 x tau))))
#s(literal 1 binary32)
(.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 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
(*.f32 x tau)
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (PI.f32)) (*.f32 (PI.f32) tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (PI.f32))) (.f32 x (*.f32 x tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 x tau) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) (PI.f32))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (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 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (.f32 tau (PI.f32)))
(.f32 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
x
(*.f32 tau (PI.f32))
(*.f32 (PI.f32) tau)
tau
(PI.f32)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
(*.f32 x tau)
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (PI.f32)) (*.f32 (PI.f32) tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (PI.f32))) (.f32 x (*.f32 x tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 x tau) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 x (.f32 (PI.f32) tau))
(.f32 (PI.f32) (.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 x tau) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x tau))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (*.f32 x tau)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(.f32 tau (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau))
(.f32 (.f32 x tau) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(.f32 x (/.f32 (.f32 x tau) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (.f32 x x) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))
(.f32 x (.f32 x (/.f32 tau (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 x (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 x (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(*.f32 x tau)
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (PI.f32)) (*.f32 (PI.f32) tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (PI.f32))) (.f32 x (*.f32 x tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 x tau) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) (PI.f32))))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 x (.f32 (PI.f32) tau))
(.f32 (PI.f32) (.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 x (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))) (.f32 x (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (+.f32 (.f32 (PI.f32) tau) #s(literal 0 binary32)) (.f32 x (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 x tau) (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
(.f32 (.f32 x (PI.f32)) (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))))
(.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))) (.f32 x (.f32 x (PI.f32))))
(.f32 (+.f32 (.f32 (PI.f32) tau) #s(literal 0 binary32)) (.f32 x (.f32 x (PI.f32))))
(.f32 x (.f32 (.f32 x tau) (.f32 (PI.f32) (PI.f32))))
(.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32)))))
(.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))
(.f32 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) tau)
(log1p.f32 (*.f32 (PI.f32) tau))

Results

161.0ms

256×

valid

Compiler

Compiled 362 to 39 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 30.0ms (33.7% of total)

ival-sin: 21.0ms (23.6% of total)

ival-div: 16.0ms (18% of total)

<compiled-spec>: 11.0ms (12.4% of total)

ival-exp: 3.0ms (3.4% of total)

ival-log: 3.0ms (3.4% of total)

ival-add: 2.0ms (2.2% of total)

ival-sub: 2.0ms (2.2% of total)

ival-pi: 1.0ms (1.1% of total)

const: 1.0ms (1.1% of total)

backward-pass: 0.0ms (0% of total)

series58.0ms (0.5%)

Counts

22 → 416

Calls

Call 1

Inputs
#<alt (/.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))))>
#<alt (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))>
#<alt (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (PI.f32)>
#<alt (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 tau (PI.f32))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau)))>
#<alt (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (.f32 x tau))))>
#<alt (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))>
#<alt (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau))>
#<alt (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))>
#<alt (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 x (.f32 tau (PI.f32))))>
#<alt (.f32 x (.f32 tau (PI.f32)))>
#<alt (sin.f32 (.f32 x (.f32 (PI.f32) tau)))>
#<alt (.f32 x (.f32 (PI.f32) tau))>
#<alt (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))>

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

Calls

117 calls:

Time	Variable		Expression
10.0ms	tau	@	(* (PI) (* (PI) (* x tau)))
6.0ms	x	@	(/ (/ 1 (PI)) (* (/ x (sin (* (PI) x))) (* x tau)))
1.0ms	tau	@	(* (/ (sin (* x (PI))) x) (sin (* (PI) (* x tau))))
1.0ms	tau	@	(/ (sin (* x (PI))) (* (* x (- (exp (log (+ 1 (* (PI) tau)))) 1)) (* x (PI))))
1.0ms	x	@	(* (/ (sin (* x (PI))) x) (sin (* (PI) (* x tau))))

rewrite369.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`times-frac`
408×	`frac-times`
304×	`cbrt-prod`
301×	`log1p-expm1-u`
299×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	949
1	850	895

Stop Event

1×	node limit

Counts

22 → 652

Calls

Call 1

Inputs
(/.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 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 tau (.f32 x (PI.f32)))
(PI.f32)
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(*.f32 tau (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (.f32 x tau))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
(.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(.f32 x (.f32 tau (PI.f32)))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (.f32 (PI.f32) tau))
(.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))

Outputs
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (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 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 x tau))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.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 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x tau)))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 x tau))))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau))))))
(.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)))
(.f32 (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (PI.f32) (sqrt.f32 (.f32 x tau)))) (/.f32 (sqrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (PI.f32) (sqrt.f32 (*.f32 x tau)))))
(.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 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.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 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(.f32 (/.f32 #s(literal 1 binary32) (.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)))) tau))
(.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) x))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32))) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.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 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (.f32 (PI.f32) (.f32 x tau)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) tau) (/.f32 (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))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) tau) (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sqrt.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sqrt.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 x tau))) #s(literal 2 binary32))) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 x tau)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 x tau)))) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (sqrt.f32 (*.f32 x tau)))))
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(pow.f32 (pow.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 x tau)) (.f32 x (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))))))
(cbrt.f32 (pow.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))))
(log1p.f32 (expm1.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))))
(exp.f32 (log.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))))
(exp.f32 (.f32 (log.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (*.f32 x (PI.f32))))) #s(literal 1 binary32)))

simplify800.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1542×	`fma-define`
882×	`*-commutative`
584×	`distribute-rgt-in`
584×	`distribute-lft-in`
346×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1461	70810
1	4153	69559

Stop Event

1×	node limit

Counts

1068 → 802

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 (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 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 x (+.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(.f32 x (+.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))
(.f32 x (+.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 8 binary32)))) (.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32)))))))))))))))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(.f32 tau (.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 tau (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32))))))) (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
(.f32 tau (+.f32 (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))))
(.f32 tau (+.f32 (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (.f32 x (PI.f32))))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 x (PI.f32))))))))))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
#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)))))
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(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 (exp.f32 (log1p.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))))) #s(literal 1 binary32))
(pow.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 x tau)) (.f32 x (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))))))
(cbrt.f32 (pow.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))))
(log1p.f32 (expm1.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))))
(exp.f32 (log.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))))
(exp.f32 (.f32 (log.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (*.f32 x (PI.f32))))) #s(literal 1 binary32)))

Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 2 binary32)))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 tau #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) #s(literal 1/120 binary32))) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 2 binary32))) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) #s(literal -1/5040 binary32)))) (.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) #s(literal 1 binary32))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 x (PI.f32))))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (sin.f32 (.f32 x (PI.f32))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 2 binary32))) (.f32 (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (sin.f32 (.f32 x (PI.f32)))))))) (/.f32 (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 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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(.f32 tau (.f32 x (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(.f32 tau (.f32 x (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 tau (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))
(expm1.f32 (log1p.f32 (.f32 tau (.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 tau (.f32 x (PI.f32)))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 tau (.f32 x (PI.f32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)))
(.f32 tau (.f32 x (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))))
(pow.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))) #s(literal 1 binary32))
(.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))
(pow.f32 (cbrt.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))) #s(literal 3 binary32))
(.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))
(pow.f32 (pow.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))
(pow.f32 (sqrt.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))) #s(literal 2 binary32))
(.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))
(sqrt.f32 (pow.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32))))) #s(literal 2 binary32)))
(fabs.f32 (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32))))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 x tau)) (.f32 x (PI.f32))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (.f32 x tau)) (PI.f32)) (.f32 x (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))))))
(.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))
(cbrt.f32 (pow.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32)))) #s(literal 3 binary32)))
(.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))
(cbrt.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 tau (.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 tau (.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))))
(expm1.f32 (log1p.f32 (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))))
(log1p.f32 (expm1.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))))
(.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))
(exp.f32 (log.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))))
(.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))
(exp.f32 (.f32 (log.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))

eval169.0ms (1.4%)

Compiler: Compiled 40362 to 5195 computations (87.1% saved)

prune250.0ms (2%)

Pruning

45 alts after pruning (38 fresh and 7 done)

	Pruned	Kept	Total
New	1464	20	1484
Fresh	12	18	30
Picked	2	3	5
Done	2	4	6
Total	1480	45	1525

Accuracy

99.8%

Counts

1525 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32))) tau)
	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	96.7%	(/.f32 (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	96.7%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))))) (.f32 x tau)))
✓	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
▶	97.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)))
	97.8%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 x tau)))
	72.3%	(/.f32 (.f32 (/.f32 (.f32 x (PI.f32)) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
✓	97.9%	(/.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)))
	96.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau))))
✓	97.7%	(/.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))))
▶	72.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
✓	97.4%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	72.4%	(/.f32 (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
▶	65.4%	(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	64.7%	(/.f32 (.f32 tau (pow.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	56.0%	(/.f32 (.f32 tau (-.f32 (exp.f32 (log1p.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	66.3%	(/.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 (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau)))
✓	65.5%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	66.3%	(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	56.4%	(/.f32 (.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 x tau)))
	97.3%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 tau (/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (*.f32 x (PI.f32))))
	66.5%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	80.3%	(/.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)))) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	96.1%	(.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (.f32 x tau))))
▶	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 x tau)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	72.1%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 tau x) (PI.f32))))
	72.1%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 tau (/.f32 x (PI.f32)))))
	72.1%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 x tau) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))))
	97.6%	(.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	72.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	52.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))))))
✓	96.8%	(.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.4%	(.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))))
▶	93.7%	(exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32)))))
✓	65.6%	#s(literal 1 binary32)

Compiler

Compiled 1799 to 1049 computations (41.7% saved)

localize428.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32)))
✓	cost-diff	0	(log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32))))
✓	cost-diff	6400	(exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32)))))
✓	cost-diff	0	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) x)
✓	cost-diff	0	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	cost-diff	0	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
✓	cost-diff	192	(/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))
✓	cost-diff	256	(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
✓	cost-diff	256	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	cost-diff	0	(PI.f32)
	cost-diff	0	(*.f32 tau (PI.f32))
✓	cost-diff	0	(.f32 x (.f32 tau (PI.f32)))
✓	cost-diff	320	(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	cost-diff	0	(*.f32 x (PI.f32))
	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
	cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32)))
✓	accuracy	98.8%	(.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (PI.f32))
	accuracy	96.3%	(PI.f32)
✓	accuracy	62.0%	(log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32))))
✓	accuracy	99.0%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))
	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	accuracy	96.3%	(PI.f32)
	accuracy	99.0%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.9%	(*.f32 tau (PI.f32))
✓	accuracy	98.7%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	accuracy	96.3%	(PI.f32)
✓	accuracy	99.3%	(.f32 x (.f32 tau (PI.f32)))
	accuracy	99.0%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.9%	(*.f32 tau (PI.f32))
	accuracy	96.3%	(PI.f32)
✓	accuracy	98.9%	(/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)))
	accuracy	96.3%	(PI.f32)

Rules

4486×	`associate-/l/`
3796×	`associate-/r/`
940×	`*-commutative`
720×	`times-frac`
706×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	1529
1	121	1431
2	423	1431
3	2040	1431
4	3801	1431
5	3980	1431
6	4078	1431
7	4091	1431
8	4091	1431
9	5021	1431
10	5151	1431
11	5155	1431
12	5155	1431

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau))
(/.f32 (PI.f32) (sin.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
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(.f32 x (.f32 tau (PI.f32)))
x
(*.f32 tau (PI.f32))
tau
(PI.f32)
(.f32 (PI.f32) (.f32 x tau))
(*.f32 x tau)
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(.f32 x (.f32 tau (PI.f32)))
x
(*.f32 tau (PI.f32))
tau
(PI.f32)
(/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (PI.f32) (.f32 x tau))
(*.f32 x tau)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) x)
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (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 (PI.f32) x)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))
(sin.f32 (*.f32 (PI.f32) x))
(exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32)))))
(log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 (PI.f32) (.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32))
(.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 x (.f32 x tau))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))

Outputs
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 x tau) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 (PI.f32) tau) (/.f32 x (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x (.f32 x tau))))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x (.f32 x tau))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau))
(.f32 (.f32 x tau) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(.f32 (.f32 (PI.f32) tau) (/.f32 x (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))
(.f32 x (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(/.f32 (PI.f32) (sin.f32 (.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))
(*.f32 x tau)
tau
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (.f32 (PI.f32) tau)))
#s(literal 1 binary32)
(.f32 x (.f32 tau (PI.f32)))
(.f32 x (.f32 (PI.f32) tau))
x
(*.f32 tau (PI.f32))
(*.f32 (PI.f32) tau)
tau
(PI.f32)
(.f32 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
(*.f32 x tau)
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (.f32 tau (PI.f32)))
(.f32 x (.f32 (PI.f32) tau))
x
(*.f32 tau (PI.f32))
(*.f32 (PI.f32) tau)
tau
(PI.f32)
(/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))
(/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (.f32 (PI.f32) tau)))
#s(literal 1 binary32)
(*.f32 x (PI.f32))
(.f32 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
(*.f32 x tau)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 x tau) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 (PI.f32) tau) (/.f32 x (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x (.f32 x tau))))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x (.f32 x tau))))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) x)
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x x) (PI.f32)))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x x)))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 x tau) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 (PI.f32) tau) (/.f32 x (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x (.f32 x tau))))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x (.f32 x tau))))))
(log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32))))
(log.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x (/.f32 (.f32 x tau) (sin.f32 (*.f32 x (PI.f32)))))))))
(log.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (.f32 x (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 x (PI.f32)))))))
(log.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x x))) (*.f32 (PI.f32) tau))))
(log.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x (.f32 x tau)))))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 x tau) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 (PI.f32) tau) (/.f32 x (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x (.f32 x tau))))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x (.f32 x 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 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32))
(.f32 (PI.f32) (.f32 (PI.f32) (.f32 x (/.f32 (.f32 x tau) (sin.f32 (*.f32 x (PI.f32)))))))
(.f32 (PI.f32) (.f32 (.f32 x (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (*.f32 x (PI.f32))))))
(.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (PI.f32))
(.f32 (PI.f32) (.f32 x (/.f32 (.f32 x tau) (sin.f32 (.f32 x (PI.f32))))))
(.f32 (.f32 x (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (.f32 (PI.f32) (.f32 x (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 x (/.f32 (.f32 x tau) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 x (.f32 x tau))
(.f32 tau (.f32 x x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))

Results

113.0ms	246×	0	valid
5.0ms	10×	0	invalid

Compiler

Compiled 381 to 36 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 26.0ms (35.6% of total)

ival-sin: 20.0ms (27.4% of total)

ival-div: 17.0ms (23.3% of total)

ival-log: 6.0ms (8.2% of total)

ival-exp: 2.0ms (2.7% of total)

ival-pi: 1.0ms (1.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series194.0ms (1.5%)

Counts

16 → 372

Calls

Call 1

Inputs
#<alt (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)))>
#<alt (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))>
#<alt (.f32 x (.f32 tau (PI.f32)))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))>
#<alt (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))>
#<alt (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32))))>
#<alt (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (PI.f32))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32)))>
#<alt (/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))>
#<alt (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))>
#<alt (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))>
#<alt (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) x)>
#<alt (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))>
#<alt (sin.f32 (.f32 x (.f32 (PI.f32) tau)))>
#<alt (exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (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))))>
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#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))>
#<alt tau>
#<alt (+.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (+.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 7 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt tau>
#<alt (.f32 tau (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))>
#<alt (.f32 tau (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (.f32 tau (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau (PI.f32))))>
#<alt (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 7 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x (PI.f32))))>
#<alt (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))>
#<alt (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt (sin.f32 (.f32 tau (.f32 x (PI.f32))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (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)))))>

Calls

93 calls:

Time	Variable		Point	Expression
57.0ms	tau	@	inf	(log (/ (sin (* (PI) (* x tau))) (* (* (/ (* x (* x tau)) (sin (* x (PI)))) (PI)) (PI))))
46.0ms	x	@	inf	(log (/ (sin (* (PI) (* x tau))) (* (* (/ (* x (* x tau)) (sin (* x (PI)))) (PI)) (PI))))
23.0ms	x	@	-inf	(log (/ (sin (* (PI) (* x tau))) (* (* (/ (* x (* x tau)) (sin (* x (PI)))) (PI)) (PI))))
22.0ms	tau	@	-inf	(log (/ (sin (* (PI) (* x tau))) (* (* (/ (* x (* x tau)) (sin (* x (PI)))) (PI)) (PI))))
6.0ms	x	@	0	(log (/ (sin (* (PI) (* x tau))) (* (* (/ (* x (* x tau)) (sin (* x (PI)))) (PI)) (PI))))

rewrite403.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`times-frac`
472×	`frac-times`
284×	`log1p-expm1-u`
284×	`expm1-log1p-u`
277×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	875
1	851	765

Stop Event

1×	node limit

Counts

16 → 471

Calls

Call 1

Inputs
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)))
(/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 x (.f32 tau (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))
(log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32))))
(.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) x)
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32)))))

Outputs
(-.f32 (exp.f32 (log1p.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)))))) #s(literal 1 binary32))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(literal 1 binary32) (.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 (pow.f32 (cbrt.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))))) #s(literal 2 binary32)) (cbrt.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 (sqrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sqrt.f32 (.f32 (.f32 x tau) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))))
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(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))

simplify526.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1376×	`fma-define`
862×	`*-commutative`
804×	`distribute-rgt-in`
804×	`distribute-lft-in`
332×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1390	58704
1	3972	57027

Stop Event

1×	node limit

Counts

843 → 848

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 #s(literal 1 binary32) (*.f32 tau x))
(/.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) tau)) x)
(/.f32 (+.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 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) tau)) x)
(/.f32 (+.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 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal 1/720 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #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 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))) (+.f32 (.f32 #s(literal -1/36 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) tau)) x)
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 tau x))
(/.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) x)) tau)
(/.f32 (+.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 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (.f32 #s(literal -1/6 binary32) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) x)) tau)
(/.f32 (+.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 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal 1/720 binary32) (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 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 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))) (+.f32 (.f32 #s(literal -1/36 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (.f32 #s(literal -1/6 binary32) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) x)) tau)
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (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)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
#s(literal 1 binary32)
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(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 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 (*.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 tau #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) #s(literal 1/120 binary32))) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 2 binary32))) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) #s(literal -1/5040 binary32)))) (.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) #s(literal 1 binary32))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 2 binary32))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 x (PI.f32))))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 x #s(literal 5 binary32))) (.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 #s(literal -1/5040 binary32) (.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 x #s(literal 5 binary32))) (.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
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tau
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tau
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(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(pow.f32 (E.f32) (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 3 binary32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(pow.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (/.f32 (.f32 x (sqrt.f32 tau)) (sqrt.f32 (sin.f32 (*.f32 x (PI.f32))))) (PI.f32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (.f32 x (sqrt.f32 tau)) (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))))) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (/.f32 (.f32 x (sqrt.f32 tau)) (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))))) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (/.f32 (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))) (sqrt.f32 (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32))))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))))

eval228.0ms (1.8%)

Compiler: Compiled 45717 to 6070 computations (86.7% saved)

prune380.0ms (3%)

Pruning

65 alts after pruning (56 fresh and 9 done)

	Pruned	Kept	Total
New	1613	30	1643
Fresh	7	26	33
Picked	2	3	5
Done	1	6	7
Total	1623	65	1688

Accuracy

99.8%

Counts

1688 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.3%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
	97.5%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32))) tau)
	72.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	72.3%	(/.f32 (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)))
	96.7%	(/.f32 (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	96.7%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))))) (.f32 x tau)))
✓	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	72.1%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau)) (PI.f32))
	72.2%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) x)
	72.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (*.f32 tau (PI.f32)))
✓	97.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)))
	97.5%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (*.f32 x tau)))
	97.8%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 x tau)))
	72.3%	(/.f32 (.f32 (/.f32 (.f32 x (PI.f32)) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	96.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau))))
✓	97.7%	(/.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))))
	72.0%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x)
	72.2%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x tau))
	72.0%	(/.f32 (.f32 (sin.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
✓	97.4%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	72.4%	(/.f32 (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
	65.4%	(/.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	65.4%	(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau)))
	65.5%	(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 tau (.f32 x (PI.f32))))
	56.0%	(/.f32 (.f32 tau (-.f32 (exp.f32 (log1p.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
✓	65.5%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	56.4%	(/.f32 (.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 x tau)))
	97.5%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32)))))
	72.3%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
	72.0%	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	97.3%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 tau (/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (*.f32 x (PI.f32))))
	66.5%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	72.1%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	72.3%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
	80.3%	(/.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)))) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	72.1%	(/.f32 #s(literal 1 binary32) (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))))
	72.1%	(/.f32 #s(literal 1 binary32) (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))))
	96.1%	(.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))) #s(literal 2 binary32)) (PI.f32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (.f32 x tau))))
✓	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	72.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 x tau))
	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 x tau)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	72.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
	72.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
	72.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))
	72.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
	72.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))
	72.1%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 tau x) (PI.f32))))
	72.1%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 tau (/.f32 x (PI.f32)))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 x tau) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))))
	66.3%	(.f32 (/.f32 tau x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
	72.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau))
	72.1%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))))
	97.6%	(.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	72.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	52.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))))))
✓	96.8%	(.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	34.5%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
✓	93.7%	(exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (/.f32 (.f32 x (.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (PI.f32)))))
✓	65.6%	#s(literal 1 binary32)

Compiler

Compiled 3266 to 1113 computations (65.9% saved)

regimes363.0ms (2.9%)

Counts

105 → 1

Calls

Call 1

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

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

4 calls:

32.0ms	x
29.0ms	(*.f32 x (PI.f32))
27.0ms	(.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))))
27.0ms	tau

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`tau`
97.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.9%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes47.0ms (0.4%)

Counts

49 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(.f32 (/.f32 tau x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(/.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 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) x)
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau)) (PI.f32))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x tau))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 x tau))
(/.f32 (.f32 tau (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(/.f32 (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 tau (/.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (.f32 (/.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 x (PI.f32)) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.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 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (.f32 (sin.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau)))
(/.f32 (.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (-.f32 (exp.f32 (log1p.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (pow.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 x (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))

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:

15.0ms	(*.f32 x (PI.f32))
14.0ms	tau
13.0ms	x

Results

Accuracy	Segments	Branch
97.8%	1	`tau`
97.8%	1	`x`
97.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes46.0ms (0.4%)

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(.f32 (/.f32 tau x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(/.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 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) x)
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau)) (PI.f32))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x tau))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 x tau))
(/.f32 (.f32 tau (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(/.f32 (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 tau (/.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (.f32 (/.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 x (PI.f32)) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.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 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (.f32 (sin.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau)))
(/.f32 (.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (-.f32 (exp.f32 (log1p.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (pow.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 x (PI.f32)))) (*.f32 tau (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 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))

Calls

3 calls:

15.0ms	tau
14.0ms	x
13.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(*.f32 x (PI.f32))`
97.6%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes46.0ms (0.4%)

Counts

45 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(.f32 (/.f32 tau x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(/.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 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) x)
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau)) (PI.f32))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x tau))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 x tau))
(/.f32 (.f32 tau (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(/.f32 (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 tau (/.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (.f32 (/.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 x (PI.f32)) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.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 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (.f32 (sin.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau)))
(/.f32 (.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (-.f32 (exp.f32 (log1p.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (pow.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))

Outputs
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))

Calls

3 calls:

14.0ms	(*.f32 x (PI.f32))
13.0ms	tau
12.0ms	x

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(*.f32 x (PI.f32))`
97.4%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes42.0ms (0.3%)

Counts

44 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(.f32 (/.f32 tau x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(/.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 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) x)
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau)) (PI.f32))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x tau))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 x tau))
(/.f32 (.f32 tau (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(/.f32 (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 tau (/.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (.f32 (/.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 x (PI.f32)) (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.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 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (.f32 (sin.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32)))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau)))
(/.f32 (.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (-.f32 (exp.f32 (log1p.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (pow.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))) (.f32 (PI.f32) (.f32 x tau)))

Outputs
(/.f32 (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))

Calls

3 calls:

14.0ms	x
13.0ms	tau
12.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
72.4%	1	`x`
72.4%	1	`tau`
72.4%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes29.0ms (0.2%)

Counts

30 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(.f32 (/.f32 tau x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(/.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 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) x)
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau)) (PI.f32))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x tau))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) x) (/.f32 x tau))
(/.f32 (.f32 tau (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))

Calls

3 calls:

10.0ms	(*.f32 x (PI.f32))
9.0ms	x
8.0ms	tau

Results

Accuracy	Segments	Branch
72.3%	1	`x`
72.3%	1	`(*.f32 x (PI.f32))`
72.3%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes32.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(.f32 (/.f32 tau x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(/.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 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 tau (PI.f32))) x)
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau)) (PI.f32))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))

Outputs
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))

Calls

3 calls:

18.0ms	(*.f32 x (PI.f32))
7.0ms	x
6.0ms	tau

Results

Accuracy	Segments	Branch
72.3%	1	`tau`
72.3%	1	`x`
72.3%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(.f32 (/.f32 tau x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))

Outputs
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

Calls

3 calls:

4.0ms	(*.f32 x (PI.f32))
3.0ms	x
3.0ms	tau

Results

Accuracy	Segments	Branch
66.5%	1	`tau`
66.5%	1	`x`
66.5%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Accuracy

Total -0.1b remaining (-1%)

Threshold costs -0.1b (-1%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))

Outputs
#s(literal 1 binary32)

Calls

2 calls:

2.0ms	x
2.0ms	tau

Results

Accuracy	Segments	Branch
65.6%	1	`x`
65.6%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	565
1	66	565

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(/.f32 (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
#s(literal 1 binary32)

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))))
(.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 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 (PI.f32) x)) (.f32 (.f32 (PI.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 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) x))) (*.f32 (PI.f32) tau)))
(/.f32 (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
#s(literal 1 binary32)

soundness1.2s (9.3%)

Rules

1984×	`fma-define`
1422×	`fma-define`
1260×	`times-frac`
1244×	`log1p-expm1-u`
918×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1239	49999
1	3553	48733
2	7853	48729
0	40	742
1	744	736
0	41	875
1	851	765
0	31	847
1	595	759
2	5926	759
0	38	663
1	112	663
2	494	631
3	2565	631
4	5282	631
5	7342	631

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1538 to 324 computations (78.9% saved)

preprocess65.0ms (0.5%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1148 to 486 computations (57.7% saved)

analyze0.0ms (0%)

sample1.9s (15.1%)

preprocess214.0ms (1.7%)

explain135.0ms (1.1%)

eval0.0ms (0%)

prune2.0ms (0%)

localize278.0ms (2.2%)

series69.0ms (0.6%)

rewrite560.0ms (4.5%)

simplify863.0ms (6.9%)

eval67.0ms (0.5%)

prune199.0ms (1.6%)

localize817.0ms (6.5%)

series41.0ms (0.3%)

rewrite178.0ms (1.4%)

simplify649.0ms (5.2%)

eval154.0ms (1.2%)

prune331.0ms (2.6%)

localize414.0ms (3.3%)

series58.0ms (0.5%)

rewrite369.0ms (2.9%)

simplify800.0ms (6.4%)

eval169.0ms (1.4%)

prune250.0ms (2%)

localize428.0ms (3.4%)

series194.0ms (1.5%)

rewrite403.0ms (3.2%)

simplify526.0ms (4.2%)

eval228.0ms (1.8%)

prune380.0ms (3%)

regimes363.0ms (2.9%)

regimes47.0ms (0.4%)

regimes46.0ms (0.4%)

regimes46.0ms (0.4%)

regimes42.0ms (0.3%)

regimes29.0ms (0.2%)

regimes32.0ms (0.3%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

simplify5.0ms (0%)

soundness1.2s (9.3%)

preprocess65.0ms (0.5%)

end0.0ms (0%)

Profiling