Metrics for Lanczos kernel

analyze30.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
50%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
75%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
87.5%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
93.7%	0%	0%	100%	0%	0%	0%	8
93.7%	0%	0%	100%	0%	0%	0%	9
96.9%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
98.4%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 6.0ms (30.5% of total)

ival-sin: 4.0ms (20.3% of total)

ival-div: 3.0ms (15.3% of total)

...c/correct-round.rkt:121:19: 3.0ms (15.3% of total)

ival-<=: 3.0ms (15.3% of total)

ival-pi: 1.0ms (5.1% of total)

ival-and: 1.0ms (5.1% of total)

const: 0.0ms (0% of total)

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

sample2.5s (16%)

Results

2.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-sin: 756.0ms (42.7% of total)

ival-div: 337.0ms (19% of total)

ival-<=: 218.0ms (12.3% of total)

ival-mult: 201.0ms (11.4% of total)

...c/correct-round.rkt:121:19: 135.0ms (7.6% of total)

ival-pi: 85.0ms (4.8% of total)

ival-and: 27.0ms (1.5% of total)

const: 9.0ms (0.5% of total)

backward-pass: 2.0ms (0.1% of total)

Bogosity

preprocess191.0ms (1.2%)

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)

explain182.0ms (1.2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`tau`
-	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (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))))`
-	-	`(sin.f32 (*.f32 x (PI.f32)))`
-	-	`(*.f32 x (PI.f32))`
-	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
-	-	`(PI.f32)`
-	-	`(.f32 (.f32 x (PI.f32)) tau)`
-	-	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`

Results

136.0ms

512×

valid

Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-sin: 82.0ms (79.3% of total)

ival-mult: 11.0ms (10.6% of total)

ival-div: 7.0ms (6.8% of total)

ival-pi: 2.0ms (1.9% of total)

const: 1.0ms (1% of total)

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

eval0.0ms (0%)

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

prune10.0ms (0.1%)

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))))
▶	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.8%	(.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)

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f32 (.f32 x (PI.f32)) tau)
✓	cost-diff	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	(.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	(.f32 (PI.f32) (.f32 x tau))
✓	cost-diff	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	(.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	(*.f32 (PI.f32) tau)
✓	cost-diff	(.f32 x (.f32 (PI.f32) tau))
✓	cost-diff	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	(.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	(*.f32 (PI.f32) tau)
✓	cost-diff	(.f32 x (.f32 (PI.f32) tau))
✓	cost-diff	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	(.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)))

localize133.0ms (0.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.7%	(/.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%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.7%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.9%	(sin.f32 (.f32 x (.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	98.8%	(.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)))))
✓	accuracy	98.7%	(.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))
✓	accuracy	98.9%	(sin.f32 (.f32 x (.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 (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	98.7%	(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))

Results

84.0ms

256×

valid

Compiler

Compiled 273 to 26 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 25.0ms (49.5% of total)

ival-sin: 16.0ms (31.7% of total)

ival-div: 8.0ms (15.9% of total)

ival-pi: 1.0ms (2% of total)

const: 0.0ms (0% of total)

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

series67.0ms (0.4%)

Counts

19 → 400

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
4.0ms	tau	@	-inf	(/ (sin (* (PI) (* x tau))) (* (PI) (* x tau)))
4.0ms	x	@	0	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
4.0ms	tau	@	inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
3.0ms	tau	@	-inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
2.0ms	tau	@	inf	(/ (sin (* (PI) (* x tau))) (* (PI) (* x tau)))

rewrite549.0ms (3.5%)

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	5927	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))))))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 (PI.f32) (.f32 x tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 (.f32 x (PI.f32)) tau)
(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(*.f32 x (PI.f32))

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

simplify1.0s (6.4%)

Algorithm

1×	egg-herbie

Rules

1488×	`associate-/r*`
1116×	`associate-/l*`
910×	`associate-*l/`
858×	`associate-*r/`
714×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	917	76034
1	2503	71590
2	7375	71590

Stop Event

1×	node limit

Counts

1236 → 471

Calls

Call 1

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

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

eval77.0ms (0.5%)

Compiler: Compiled 22195 to 2418 computations (89.1% saved)

prune152.0ms (1%)

Pruning

46 alts after pruning (44 fresh and 2 done)

	Pruned	Kept	Total
New	787	44	831
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	789	46	835

Accuracy

99.8%

Counts

835 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.1%	(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))
	97.2%	(/.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)
	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	97.8%	(/.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)))))
	97.5%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
▶	97.6%	(/.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)))
	97.6%	(/.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))))
	97.6%	(/.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))))
	64.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	97.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))))
	97.4%	(.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 3 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (pow.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
✓	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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
	97.5%	(.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)))))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 x (PI.f32))))
	97.5%	(.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))))
	84.1%	(.f32 (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
▶	97.1%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	64.4%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	64.3%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	70.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	70.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
	97.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	96.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)) (.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))))))
	70.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	95.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)))
	96.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (PI.f32)))) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (PI.f32)))) (PI.f32))))
	97.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
	97.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	56.7%	(.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)))))))
	97.4%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
	97.1%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
▶	97.1%	(.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	97.0%	(.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	95.8%	(.f32 (sin.f32 (exp.f32 (log.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (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))))
	84.6%	(.f32 (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	96.5%	(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)))))))
▶	63.7%	#s(literal 1 binary32)

Compiler

Compiled 2070 to 1178 computations (43.1% saved)

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	6400	(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	cost-diff	6400	(sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau)))))
✓	cost-diff	6400	(.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) tau))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) x)
✓	cost-diff	64	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))
✓	cost-diff	64	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	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)))
✓	cost-diff	6400	(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
✓	cost-diff	6400	(sin.f32 (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))
✓	cost-diff	6400	(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32)))
✓	cost-diff	6400	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))

Rules

1292×	`fmm-def`
944×	`associate-l`
940×	`distribute-lft-in`
840×	`distribute-rgt-in`
838×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	1358
1	114	1358
2	393	1338
3	1560	1278
4	2903	1278
5	3336	1278
6	5650	1278
7	6608	1278

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

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

localize327.0ms (2.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau)))))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
✓	accuracy	98.8%	(.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	accuracy	98.7%	(.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.9%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.7%	(/.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	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.8%	(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32)))
✓	accuracy	98.7%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Results

205.0ms

256×

valid

Compiler

Compiled 362 to 38 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 71.0ms (54.7% of total)

ival-sin: 24.0ms (18.5% of total)

ival-div: 16.0ms (12.3% of total)

ival-log: 7.0ms (5.4% of total)

ival-exp: 5.0ms (3.9% of total)

ival-add: 3.0ms (2.3% of total)

ival-sub: 3.0ms (2.3% of total)

ival-pi: 1.0ms (0.8% of total)

const: 0.0ms (0% of total)

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

series202.0ms (1.3%)

Counts

21 → 444

Calls

Call 1

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

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)))))))))))>
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#<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)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>

Calls

114 calls:

Time	Variable		Point	Expression
128.0ms	x	@	-inf	(* (sin (- (exp (log (+ 1 (* (PI) (* x tau))))) 1)) (/ (sin (* x (PI))) (* (* x (* (PI) tau)) (* x (PI)))))
19.0ms	x	@	-inf	(/ (* (/ (sin (* (PI) (* x tau))) (* x (PI))) (sin (* x (PI)))) (* (PI) (* x tau)))
9.0ms	tau	@	inf	(/ (* (/ (sin (* (PI) (* x tau))) (* x (PI))) (sin (* x (PI)))) (* (PI) (* x tau)))
1.0ms	tau	@	0	(log (+ 1 (* (PI) (* x tau))))
1.0ms	x	@	0	(* (/ (sin (* (PI) (* x tau))) (* x (PI))) (sin (* x (PI))))

rewrite559.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`times-frac`
588×	`associate-r`
452×	`frac-times`
432×	`associate-l`
234×	`cbrt-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	915
1	706	849

Stop Event

1×	node limit

Counts

21 → 948

Calls

Call 1

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

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

simplify1.0s (6.5%)

Algorithm

1×	egg-herbie

Rules

1292×	`*-commutative`
504×	`associate-*r/`
448×	`distribute-rgt-neg-in`
438×	`distribute-lft-neg-in`
434×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1860	88259
1	5285	86007

Stop Event

1×	node limit

Counts

1392 → 1080

Calls

Call 1

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

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

eval330.0ms (2.1%)

Compiler: Compiled 39709 to 4809 computations (87.9% saved)

prune965.0ms (6.2%)

Pruning

52 alts after pruning (48 fresh and 4 done)

	Pruned	Kept	Total
New	1317	29	1346
Fresh	20	19	39
Picked	2	3	5
Done	1	1	2
Total	1340	52	1392

Accuracy

99.9%

Counts

1392 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(/.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)
	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) x))
▶	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	97.5%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)))
	97.6%	(/.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))))
	97.1%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (*.f32 (PI.f32) tau)))
	97.4%	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	63.6%	(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
▶	63.5%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	64.4%	(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	97.6%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (*.f32 (PI.f32) tau))))
	97.6%	(/.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))))
	97.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (*.f32 tau (PI.f32))))))
	64.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x tau)))
	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
▶	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (cbrt.f32 x))) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	70.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	82.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32)))))) (.f32 x (PI.f32))))
	81.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #s(literal 1 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32)))) (.f32 x (PI.f32))))
	84.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal -1 binary32)))) (.f32 x (PI.f32))))
▶	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 x (PI.f32))))
	97.5%	(.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))))
	79.0%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.1%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 x (PI.f32))))
✓	97.1%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
	96.8%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	96.9%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
	77.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	64.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	64.4%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	64.3%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	84.0%	(.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) tau)))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) tau))) #s(literal 1 binary32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	70.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	70.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
✓	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))))))
	70.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	56.7%	(.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)))))))
✓	97.1%	(.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	97.0%	(.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	96.8%	(.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))
	97.0%	(.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))))
	95.8%	(.f32 (sin.f32 (exp.f32 (log.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (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))))
	96.5%	(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)))))))
✓	63.7%	#s(literal 1 binary32)

Compiler

Compiled 2430 to 1339 computations (44.9% saved)

simplify444.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 x (PI.f32))))
✓	cost-diff	6432	(pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))
✓	cost-diff	6432	(sin.f32 (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)))
✓	cost-diff	6432	(/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.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))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
✓	cost-diff	0	(/.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))
	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 x (PI.f32)))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) 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	(*.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 x (.f32 (PI.f32) tau)))

Rules

3552×	`cube-prod`
2690×	`associate-/r/`
1604×	`swap-sqr`
902×	`times-frac`
826×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	1406
1	105	1360
2	455	1360
3	2201	1332
4	2538	1332
5	3572	1332
6	4131	1332
7	4295	1332
8	4295	1332
9	4295	1332
10	4663	1332
11	4848	1332
12	5295	1332
13	6210	1332
14	6857	1332
15	6947	1332
16	6985	1332
17	7018	1332
18	7064	1332

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.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 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) tau)
(/.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 x (PI.f32))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.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)))) (.f32 (PI.f32) tau)) 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 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.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)
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 (PI.f32) (.f32 x tau))
(*.f32 x tau)
tau
(*.f32 (PI.f32) tau)
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (*.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 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 x (PI.f32)))
(sin.f32 (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))
(cbrt.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(literal 3 binary32)

Outputs
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) tau))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 6 binary32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 6 binary32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 6 binary32)))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) tau)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))) tau)
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 x (.f32 (PI.f32) tau))
(.f32 tau (.f32 x (PI.f32)))
(.f32 (PI.f32) (.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(.f32 tau (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))
#s(literal 1 binary32)
(.f32 tau (.f32 x (PI.f32)))
(.f32 x (.f32 (PI.f32) tau))
(.f32 (PI.f32) (.f32 x tau))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(.f32 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
(.f32 tau (.f32 x (PI.f32)))
(*.f32 x tau)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) tau))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 6 binary32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 6 binary32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 6 binary32)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) tau)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.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 (PI.f32)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 x (.f32 (PI.f32) tau))
(.f32 tau (.f32 x (PI.f32)))
(.f32 (PI.f32) (.f32 x tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (/.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 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) tau))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 6 binary32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 6 binary32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 6 binary32)))))
(/.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 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) tau))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.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))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(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)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(.f32 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
(.f32 tau (.f32 x (PI.f32)))
(*.f32 x tau)
tau
(*.f32 (PI.f32) tau)
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) tau))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 6 binary32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 6 binary32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 6 binary32)))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) tau)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))) tau)
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(.f32 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
(.f32 tau (.f32 x (PI.f32)))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(sin.f32 (*.f32 x (PI.f32)))
(pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))
(*.f32 x (PI.f32))
(cbrt.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(literal 3 binary32)

localize180.0ms (1.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.8%	(/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 x (PI.f32)))
	accuracy	98.7%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	97.7%	(pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))
	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.9%	(/.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))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	accuracy	99.0%	(*.f32 (PI.f32) tau)
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
	accuracy	98.9%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.2%	(.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%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
✓	accuracy	98.8%	(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
✓	accuracy	98.7%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))

Results

110.0ms

256×

valid

Compiler

Compiled 354 to 32 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 21.0ms (32.8% of total)

ival-div: 18.0ms (28.1% of total)

ival-sin: 16.0ms (25% of total)

ival-pow: 5.0ms (7.8% of total)

ival-cbrt: 2.0ms (3.1% of total)

ival-pi: 1.0ms (1.6% of total)

const: 0.0ms (0% of total)

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

series48.0ms (0.3%)

Counts

15 → 236

Calls

Call 1

Inputs
#<alt (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))>
#<alt (/.f32 (.f32 tau (.f32 x (PI.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 (PI.f32) tau))) (*.f32 x (PI.f32))) tau)>
#<alt (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))>
#<alt (/.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))>
#<alt (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 x (PI.f32)))>
#<alt (sin.f32 (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)))>
#<alt (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))>
#<alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))>

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

69 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	(/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (PI) (* x tau)))) (* (PI) tau))
3.0ms	x	@	-inf	(pow (cbrt (* x (PI))) 3)
1.0ms	x	@	-inf	(* (/ (sin (* (PI) (* x tau))) (* (PI) (* x tau))) (/ (sin (pow (cbrt (* x (PI))) 3)) (* x (PI))))
1.0ms	x	@	-inf	(/ (sin (pow (cbrt (* x (PI))) 3)) (* x (PI)))
1.0ms	tau	@	-inf	(/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (PI) (* x tau)))) (* (PI) tau))

rewrite238.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1202×	`times-frac`
546×	`frac-times`
510×	`associate-r`
390×	`associate-l`
218×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	637
1	688	569

Stop Event

1×	node limit

Counts

15 → 642

Calls

Call 1

Inputs
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
(.f32 tau (.f32 x (PI.f32)))
(PI.f32)
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) tau)
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 x (PI.f32)))
(sin.f32 (pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(pow.f32 (cbrt.f32 (*.f32 x (PI.f32))) #s(literal 3 binary32))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 x (PI.f32))))
(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))

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

simplify489.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1242×	`fma-define`
1008×	`*-commutative`
480×	`associate-*r/`
444×	`associate-*l/`
422×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1456	59832
1	4230	57797

Stop Event

1×	node limit

Counts

878 → 832

Calls

Call 1

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

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

eval213.0ms (1.4%)

Compiler: Compiled 52426 to 5987 computations (88.6% saved)

prune494.0ms (3.2%)

Pruning

61 alts after pruning (56 fresh and 5 done)

	Pruned	Kept	Total
New	1837	31	1868
Fresh	18	25	43
Picked	3	2	5
Done	1	3	4
Total	1859	61	1920

Accuracy

99.9%

Counts

1920 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.6%	(/.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (.f32 (PI.f32) (.f32 x tau)))
	97.0%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 x (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))) (.f32 (PI.f32) tau)) x)
	97.0%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (.f32 tau (PI.f32))) (.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
	70.4%	(/.f32 (/.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) x)
	96.2%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) x)
	96.3%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (.f32 x tau)))) (.f32 (PI.f32) tau)) x)
▶	97.7%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (PI.f32) tau)) x)
	96.9%	(/.f32 (/.f32 (.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) x)
	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	63.5%	(/.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) x)
	64.4%	(/.f32 (/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) x)
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (/.f32 x (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (*.f32 x tau)))
	70.5%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (.f32 x (PI.f32)))))
	96.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))))))
✓	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	70.6%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (/.f32 #s(literal 1 binary32) x)))
	64.5%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
▶	97.5%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)))
	97.1%	(/.f32 (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	77.2%	(/.f32 (-.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) tau))))) #s(literal 1 binary32)) x)
	55.1%	(/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 x tau)))
	97.3%	(/.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) tau))) x)
	97.6%	(/.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))))
	97.1%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau)) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	97.4%	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
▶	63.6%	(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	63.3%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau)))
✓	63.5%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	64.4%	(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	62.8%	(/.f32 (.f32 tau (exp.f32 (log.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
	97.6%	(/.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))))
	97.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (*.f32 tau (PI.f32))))))
	64.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	55.4%	(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (PI.f32) (.f32 x tau)))
	64.4%	(/.f32 #s(literal 1 binary32) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
▶	70.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) tau) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))))
▶	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) tau) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))))
	96.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (cbrt.f32 x))) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
	95.8%	(.f32 (/.f32 (/.f32 (sin.f32 (exp.f32 (log.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32)))))
	70.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	82.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32)))))) (.f32 x (PI.f32))))
	81.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #s(literal 1 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32)))) (.f32 x (PI.f32))))
	84.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal -1 binary32)))) (.f32 x (PI.f32))))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
	79.0%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.0%	(.f32 (.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32))) (sqrt.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 x (PI.f32))))
	77.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	64.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	64.3%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	70.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	70.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
✓	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))))))
	70.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
✓	97.1%	(.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	96.8%	(.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (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))))
	96.6%	(log.f32 (exp.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))))
✓	63.7%	#s(literal 1 binary32)

Compiler

Compiled 2625 to 1478 computations (43.7% saved)

simplify416.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) tau)
✓	cost-diff	6400	(log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
✓	cost-diff	6400	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) tau) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))))
	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))) x)
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)))
	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) tau)
✓	cost-diff	192	(/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))
✓	cost-diff	256	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) tau) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))))
	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 (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))) (sin.f32 (.f32 x (*.f32 tau (PI.f32)))))
✓	cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (PI.f32) tau))
✓	cost-diff	0	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (PI.f32) tau)) x)

Rules

4152×	`associate-/l/`
1878×	`cube-prod`
1740×	`*-commutative`
1502×	`swap-sqr`
1326×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	1493
1	102	1383
2	385	1383
3	1440	1383
4	2648	1383
5	3167	1383
6	3421	1383
7	3495	1383
8	3505	1383
9	3505	1383
10	4112	1383
11	4181	1383
12	4326	1383
13	4977	1383
14	5557	1383
15	6114	1383
16	6384	1383
17	6529	1383
18	6550	1383
19	6550	1383

Stop Event

1×	node limit

Calls

Call 1

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

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

localize537.0ms (3.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
	accuracy	98.9%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.1%	(log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)))
✓	accuracy	98.8%	(.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (PI.f32))
	accuracy	99.0%	(*.f32 x (PI.f32))
	accuracy	99.0%	(*.f32 (PI.f32) tau)
	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
	accuracy	98.9%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
	accuracy	100.0%	(PI.f32)
✓	accuracy	99.1%	(.f32 x (.f32 tau (PI.f32)))
✓	accuracy	99.0%	(*.f32 tau (PI.f32))
	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	99.0%	(*.f32 tau (PI.f32))
✓	accuracy	98.9%	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
✓	accuracy	98.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (PI.f32) tau))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

Results

474.0ms

256×

valid

Compiler

Compiled 365 to 31 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-sin: 21.0ms (32.8% of total)

ival-mult: 20.0ms (31.3% of total)

ival-div: 15.0ms (23.4% of total)

ival-exp: 3.0ms (4.7% of total)

ival-log: 3.0ms (4.7% of total)

ival-pi: 2.0ms (3.1% of total)

const: 0.0ms (0% of total)

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

series31.0ms (0.2%)

Counts

15 → 292

Calls

Call 1

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

Calls

78 calls:

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

rewrite190.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`times-frac`
524×	`frac-times`
256×	`log1p-expm1-u`
256×	`expm1-log1p-u`
249×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	781
1	722	678

Stop Event

1×	node limit

Counts

15 → 490

Calls

Call 1

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

Outputs
(-.f32 (exp.f32 (log1p.f32 (.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)))) #s(literal 1 binary32))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x))
(.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 #s(literal 1 binary32) (.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 (cbrt.f32 (pow.f32 (.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)) #s(literal 2 binary32))) (cbrt.f32 (.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 (sqrt.f32 (.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))) (sqrt.f32 (.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 (neg.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) tau)))) (/.f32 #s(literal 1 binary32) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))) tau))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))) x))
(.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) tau))))
(.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))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))) (.f32 x tau)))
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(pow.f32 (sqrt.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau))))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) 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 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32)))) #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 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)))
(exp.f32 (log.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau)))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) tau)) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))) #s(literal 1 binary32))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (sqrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (cbrt.f32 (.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (PI.f32)))
(.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (.f32 x (PI.f32)))) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (cbrt.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (.f32 x (PI.f32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (neg.f32 (neg.f32 (.f32 x (PI.f32)))))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (*.f32 x tau)) (PI.f32))))
(/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (neg.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32))) (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))))
(cbrt.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 x tau) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 x tau) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(log1p.f32 (expm1.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(exp.f32 (log.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32)))

simplify727.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1364×	`fma-define`
858×	`*-commutative`
550×	`distribute-lft-in`
354×	`associate-*r/`
350×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1397	54073
1	4131	52359

Stop Event

1×	node limit

Counts

782 → 824

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)))))
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(+.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))) #s(literal 1 binary32))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (sqrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (cbrt.f32 (.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) x) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (PI.f32)))
(.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) x) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (.f32 x (PI.f32)))) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (PI.f32)))) (sqrt.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (cbrt.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (cbrt.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (.f32 x (PI.f32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (neg.f32 (neg.f32 (.f32 x (PI.f32)))))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (*.f32 x tau)) (PI.f32))))
(/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (neg.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32))) (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))))
(cbrt.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 x tau) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 x tau) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(log1p.f32 (expm1.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(exp.f32 (log.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32)))

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

eval218.0ms (1.4%)

Compiler: Compiled 55123 to 6181 computations (88.8% saved)

prune369.0ms (2.4%)

Pruning

82 alts after pruning (75 fresh and 7 done)

	Pruned	Kept	Total
New	1920	36	1956
Fresh	12	39	51
Picked	2	3	5
Done	1	4	5
Total	1935	82	2017

Accuracy

100.0%

Counts

2017 → 82

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
	62.6%	(/.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (.f32 (PI.f32) (.f32 x tau)))
	97.0%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 x (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))) (.f32 (PI.f32) tau)) x)
	97.0%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (.f32 tau (PI.f32))) (.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
	70.4%	(/.f32 (/.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) x)
	96.2%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) x)
	96.3%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)))) (.f32 (PI.f32) tau)) x)
	97.2%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau)))))) (.f32 (PI.f32) tau)) x)
	97.6%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 tau (PI.f32)))) (PI.f32)) x)
	96.9%	(/.f32 (/.f32 (.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) x)
	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	97.0%	(/.f32 (/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (PI.f32) tau)) x)
	63.7%	(/.f32 (/.f32 (.f32 x (.f32 tau (PI.f32))) (*.f32 (PI.f32) tau)) x)
	70.6%	(/.f32 (/.f32 (.f32 x (PI.f32)) x) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)))
	63.5%	(/.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) x)
	96.3%	(/.f32 (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) x) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	70.4%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))) tau)
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (/.f32 x (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (*.f32 x tau)))
	70.5%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (.f32 x (PI.f32)))))
✓	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	64.5%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
✓	97.5%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)))
	55.1%	(/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 x tau)))
	70.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 tau (*.f32 x (PI.f32))))
	70.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (*.f32 x (PI.f32)))
	70.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) #s(literal 1 binary32)) (.f32 (PI.f32) tau))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x (PI.f32))))
	97.6%	(/.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))))
	97.1%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau)) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	97.4%	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	63.4%	(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau)))
✓	63.6%	(/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
✓	63.5%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	62.8%	(/.f32 (.f32 tau (exp.f32 (log.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
	70.4%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32))))
	70.7%	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
	97.6%	(/.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))))
	97.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (*.f32 tau (PI.f32))))))
	64.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	70.7%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
	55.4%	(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (PI.f32) (.f32 x tau)))
	70.6%	(/.f32 (PI.f32) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)))
	70.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))
	70.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	70.4%	(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) #s(literal 1 binary32))))
	70.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) tau))
	64.4%	(/.f32 #s(literal 1 binary32) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	70.4%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) x) tau) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	63.7%	(.f32 (/.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 x (PI.f32))) tau) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
✓	70.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) tau) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) tau) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (.f32 x (PI.f32))))))
	96.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (cbrt.f32 x))) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
	95.8%	(.f32 (/.f32 (/.f32 (sin.f32 (exp.f32 (log.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32)))))
	70.4%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))))
	70.4%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))) tau) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))))
	70.4%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) tau) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	82.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32)))))) (.f32 x (PI.f32))))
	81.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #s(literal 1 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32)))) (.f32 x (PI.f32))))
	84.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal -1 binary32)))) (.f32 x (PI.f32))))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))))
	79.0%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	70.4%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (.f32 (/.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	70.4%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32)))) x) (/.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	70.4%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	70.4%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) tau)) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	96.0%	(.f32 (.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32))) (sqrt.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 x (PI.f32))))
	77.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	64.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	70.3%	(.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 x (PI.f32))))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	70.4%	(.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	70.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	70.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
✓	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))))))
	70.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	96.8%	(.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (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))))
	97.1%	(log.f32 (exp.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))))))
✓	63.7%	#s(literal 1 binary32)

Compiler

Compiled 4875 to 1491 computations (69.4% saved)

regimes164.0ms (1.1%)

Counts

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

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

Calls

4 calls:

39.0ms	(*.f32 x (PI.f32))
39.0ms	(.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))))
39.0ms	tau
37.0ms	x

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`tau`
98.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
98.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes55.0ms (0.4%)

Counts

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

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

Calls

3 calls:

17.0ms	(*.f32 x (PI.f32))
17.0ms	tau
15.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes56.0ms (0.4%)

Counts

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

19.0ms	tau
16.0ms	(*.f32 x (PI.f32))
16.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes52.0ms (0.3%)

Counts

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

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

Calls

3 calls:

17.0ms	x
15.0ms	(*.f32 x (PI.f32))
15.0ms	tau

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`tau`
97.1%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes51.0ms (0.3%)

Counts

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

Outputs
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.0%	1	`x`
79.0%	1	`tau`
79.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes47.0ms (0.3%)

Counts

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

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

Calls

3 calls:

16.0ms	(*.f32 x (PI.f32))
15.0ms	x
14.0ms	tau

Results

Accuracy	Segments	Branch
70.7%	1	`tau`
70.7%	1	`x`
70.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.1%)

Counts

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

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

Calls

3 calls:

5.0ms	(*.f32 x (PI.f32))
4.0ms	x
4.0ms	tau

Results

Accuracy	Segments	Branch
70.7%	1	`x`
70.7%	1	`(*.f32 x (PI.f32))`
70.7%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Counts

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

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

Calls

3 calls:

5.0ms	x
3.0ms	(*.f32 x (PI.f32))
3.0ms	tau

Results

Accuracy	Segments	Branch
64.6%	1	`x`
64.6%	1	`(*.f32 x (PI.f32))`
64.6%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Counts

6 → 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 (PI.f32) (.f32 x tau)))
(/.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) x)
(/.f32 (/.f32 (.f32 x (.f32 tau (PI.f32))) (*.f32 (PI.f32) tau)) x)
(.f32 (/.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 x (PI.f32))) tau) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))))

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

Calls

3 calls:

3.0ms	(*.f32 x (PI.f32))
2.0ms	x
2.0ms	tau

Results

Accuracy	Segments	Branch
63.7%	1	`tau`
63.7%	1	`x`
63.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (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 (PI.f32) (.f32 x tau)))
(/.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) x)
(/.f32 (/.f32 (.f32 x (.f32 tau (PI.f32))) (*.f32 (PI.f32) tau)) x)

Outputs
#s(literal 1 binary32)

Calls

2 calls:

3.0ms	tau
2.0ms	x

Results

Accuracy	Segments	Branch
63.7%	1	`tau`
63.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
3×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	650
1	70	650

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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(.f32 (/.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 x (PI.f32))) tau) (/.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 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.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 (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))
(.f32 (/.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 x (PI.f32))) tau) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (.f32 tau (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) tau) (/.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)))
#s(literal 1 binary32)

soundness2.0s (12.8%)

Rules

1984×	`fma-define`
1364×	`fma-define`
1292×	`*-commutative`
1244×	`log1p-expm1-u`
858×	`*-commutative`

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
0	1397	54073
1	4131	52359
0	31	847
1	595	759
2	5927	759
0	39	915
1	706	849
0	1860	88259
1	5285	86007

Stop Event

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

Compiler

Compiled 1502 to 329 computations (78.1% saved)

preprocess53.0ms (0.3%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1374 to 578 computations (57.9% saved)

analyze30.0ms (0.2%)

sample2.5s (16%)

preprocess191.0ms (1.2%)

explain182.0ms (1.2%)

eval0.0ms (0%)

prune10.0ms (0.1%)

simplify68.0ms (0.4%)

localize133.0ms (0.9%)

series67.0ms (0.4%)

rewrite549.0ms (3.5%)

simplify1.0s (6.4%)

eval77.0ms (0.5%)

prune152.0ms (1%)

simplify97.0ms (0.6%)

localize327.0ms (2.1%)

series202.0ms (1.3%)

rewrite559.0ms (3.6%)

simplify1.0s (6.5%)

eval330.0ms (2.1%)

prune965.0ms (6.2%)

simplify444.0ms (2.9%)

localize180.0ms (1.2%)

series48.0ms (0.3%)

rewrite238.0ms (1.5%)

simplify489.0ms (3.1%)

eval213.0ms (1.4%)

prune494.0ms (3.2%)

simplify416.0ms (2.7%)

localize537.0ms (3.5%)

series31.0ms (0.2%)

rewrite190.0ms (1.2%)

simplify727.0ms (4.7%)

eval218.0ms (1.4%)

prune369.0ms (2.4%)

regimes164.0ms (1.1%)

regimes55.0ms (0.4%)

regimes56.0ms (0.4%)

regimes52.0ms (0.3%)

regimes51.0ms (0.3%)

regimes47.0ms (0.3%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

simplify5.0ms (0%)

soundness2.0s (12.8%)

preprocess53.0ms (0.3%)

end0.0ms (0%)

Profiling