Metrics for Lanczos kernel

analyze20.0ms (0.2%)

Memory

6.3MiB live, 44.6MiB allocated

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 37 to 21 computations (43.2% saved)

sample2.1s (16.2%)

Memory

9.2MiB live, 2 499.7MiB allocated

Samples

1.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-<=: 402.0ms (29.8% of total)

ival-sin: 332.0ms (24.6% of total)

...in/eval/compile.rkt:77:19: 203.0ms (15% of total)

ival-mult: 183.0ms (13.6% of total)

ival-div: 163.0ms (12.1% of total)

ival-pi: 38.0ms (2.8% of total)

ival-and: 21.0ms (1.6% of total)

...in/eval/compile.rkt:76:19: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess115.0ms (0.9%)

Memory

-13.2MiB live, 84.8MiB allocated

Algorithm

1×	egg-herbie

Rules

1 984×	`fma-define`
834×	`associate-l`
764×	`distribute-lft-neg-in`
760×	`distribute-frac-neg2`
668×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

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)

explain166.0ms (1.3%)

Memory

6.2MiB live, 238.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
2	-	2	(0.9840599298477173 3.6916637420654297)	`(sin.f32 (*.f32 x (PI.f32)))`
2	-	2	(0.39617443084716797 2.537733793258667)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	5
-	0	251

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	2	3
-	0	0	251

Precision?

1.0

Recall?

0.4

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sin: 16.0ms (47.5% of total)

ival-mult: 9.0ms (26.7% of total)

ival-div: 6.0ms (17.8% of total)

ival-pi: 2.0ms (5.9% of total)

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

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

eval0.0ms (0%)

Memory: 1.5MiB live, 1.5MiB allocated
Compiler: Compiled 65 to 21 computations (67.7% saved)

prune2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
▶	97.4%	(.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))))))

Status

Accuracy

Program

▶

97.9%

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

▶

97.7%

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

▶

97.4%

(*.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 69 to 33 computations (52.2% saved)

simplify43.0ms (0.3%)

Memory

8.4MiB live, 45.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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) 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

718×	`times-frac`
580×	`associate-/r*`
402×	`associate-*r/`
202×	`associate-*l/`
102×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	854
1	62	854
2	188	854
3	641	854
4	1172	854
5	1279	854
6	1281	854

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

localize118.0ms (0.9%)

Memory

4.3MiB live, 154.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(*.f32 x (PI.f32))
✓	accuracy	98.8%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.5%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.8%	(.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
✓	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))

Samples

81.0ms

256×

valid

Compiler

Compiled 207 to 22 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 51.0ms (73.6% of total)

ival-sin: 9.0ms (13% of total)

ival-div: 8.0ms (11.6% of total)

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

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

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

series54.0ms (0.4%)

Memory

-11.4MiB live, 109.5MiB allocated

Counts

13 → 256

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

69 calls:

Time	Variable		Point	Expression
11.0ms	tau	@	inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
4.0ms	tau	@	-inf	(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
3.0ms	x	@	-inf	(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
3.0ms	x	@	0	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
2.0ms	x	@	inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))

rewrite536.0ms (4.2%)

Memory

27.7MiB live, 584.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 209×	`log1p-expm1-u`
452×	`expm1-log1p-u`
438×	`associate-r`
374×	`times-frac`
290×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	543
1	465	488
2	5344	488

Stop Event

1×	node limit

Counts

13 → 490

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

simplify498.0ms (3.9%)

Memory

-21.7MiB live, 789.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 588×	`associate-r`
1 212×	`associate-/r*`
1 046×	`associate-/l*`
908×	`*-commutative`
678×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	747	43536
1	2021	40932
2	7635	40932

Stop Event

1×	node limit

Counts

746 → 369

Calls

Call 1

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

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

eval156.0ms (1.2%)

Memory: 3.9MiB live, 160.2MiB allocated
Compiler: Compiled 16 843 to 2 013 computations (88% saved)

prune335.0ms (2.6%)

Memory

1.6MiB live, 279.1MiB allocated

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	597	38	635
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	597	41	638

Accuracy

99.7%

Counts

638 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) x)
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau) (.f32 x (PI.f32)))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) x)
	97.3%	(/.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))))
	97.1%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
	96.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (.f32 x (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (PI.f32)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (PI.f32))
▶	97.1%	(/.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)
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) tau))
	97.6%	(/.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)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 tau (*.f32 (PI.f32) (neg.f32 x))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	97.2%	(/.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))))
	64.4%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	96.6%	(-.f32 (exp.f32 (log1p.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 1 binary32))
	97.1%	(.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))))
✓	97.9%	(.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))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
▶	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
	95.6%	(.f32 (/.f32 (sin.f32 (.f32 (exp.f32 (log.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (-.f32 (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))))
	64.3%	(.f32 (.f32 x (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	64.2%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	64.2%	(.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))))))
	96.0%	(.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 1 binary32)) (.f32 x (PI.f32)))))
	96.0%	(.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)))))
✓	97.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
▶	96.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
✓	97.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	96.6%	(.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	97.2%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	84.8%	(.f32 (log.f32 (exp.f32 (sin.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 (expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.7%	(log.f32 (exp.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))))
▶	97.8%	(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32))))
▶	63.6%	#s(literal 1 binary32)

Compiler

Compiled 1 833 to 1 017 computations (44.5% saved)

simplify119.0ms (0.9%)

Memory

10.2MiB live, 50.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6400	(.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))
✓	cost-diff	6400	(.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
✓	cost-diff	6400	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
✓	cost-diff	6400	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
✓	cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
	cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	64	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
✓	cost-diff	64	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
✓	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))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	cost-diff	0	(/.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)
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
✓	cost-diff	0	(pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))
✓	cost-diff	0	(.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
✓	cost-diff	0	(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32))))

Rules

796×	`sub-neg`
652×	`distribute-neg-in`
614×	`associate-*r/`
560×	`associate-*l/`
508×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	1468
1	122	1468
2	411	1464
3	2372	1452
4	2642	1452
5	3974	1452
6	4874	1452
7	6702	1452

Stop Event

1×	node limit

Calls

Call 1

Inputs
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(.f32 x (.f32 tau (PI.f32)))
x
(*.f32 tau (PI.f32))
tau
(PI.f32)
#s(literal 3 binary32)
(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)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(literal 1 binary32)
(/.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 (PI.f32) (.f32 x tau))) (.f32 x (PI.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)))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 (PI.f32) (.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 (.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (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 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
(.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
(log1p.f32 (*.f32 (PI.f32) tau))

Outputs
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #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 tau (.f32 x (PI.f32)))) (.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))))
(.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(.f32 (pow.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.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)))
(pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) #s(literal 3 binary32))
(/.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))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(.f32 x (.f32 tau (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
x
(*.f32 tau (PI.f32))
tau
(PI.f32)
#s(literal 3 binary32)
(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)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(literal 1 binary32)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) tau)
(.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 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 tau (.f32 x (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x (PI.f32)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.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 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(.f32 (PI.f32) (.f32 x tau))
(.f32 tau (.f32 x (PI.f32)))
(.f32 x (.f32 tau (PI.f32)))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) tau)
(.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 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 tau (.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (.f32 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))))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(.f32 (.f32 x (PI.f32)) tau)
(.f32 tau (.f32 x (PI.f32)))
(.f32 x (.f32 tau (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (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 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) tau)
(.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 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 tau (.f32 x (PI.f32))))))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(.f32 x (.f32 (PI.f32) tau))
(.f32 tau (.f32 x (PI.f32)))
(.f32 x (.f32 tau (PI.f32)))
x
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))
(PI.f32)
tau
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 x (expm1.f32 (log1p.f32 (*.f32 tau (PI.f32)))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (expm1.f32 (log1p.f32 (.f32 tau (PI.f32)))) (*.f32 x x))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (+.f32 (.f32 tau (PI.f32)) #s(literal 0 binary32)) (*.f32 x x))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 tau (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
(.f32 (.f32 x (PI.f32)) (.f32 x (expm1.f32 (log1p.f32 (.f32 tau (PI.f32))))))
(.f32 (PI.f32) (.f32 (expm1.f32 (log1p.f32 (.f32 tau (PI.f32)))) (.f32 x x)))
(.f32 (PI.f32) (.f32 (+.f32 (.f32 tau (PI.f32)) #s(literal 0 binary32)) (.f32 x x)))
(.f32 (PI.f32) (.f32 x (.f32 x (.f32 tau (PI.f32)))))
(.f32 (.f32 x (PI.f32)) (.f32 tau (.f32 x (PI.f32))))
(.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))
(.f32 tau (.f32 x (PI.f32)))
(.f32 x (.f32 tau (PI.f32)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
(*.f32 tau (PI.f32))
(log1p.f32 (*.f32 (PI.f32) tau))
(log1p.f32 (*.f32 tau (PI.f32)))

localize220.0ms (1.7%)

Memory

-8.4MiB live, 231.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.8%	(.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
✓	accuracy	98.2%	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
✓	accuracy	98.8%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.8%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
✓	accuracy	98.7%	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
	accuracy	98.5%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
	accuracy	98.9%	(*.f32 x (PI.f32))
✓	accuracy	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	accuracy	98.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.5%	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
✓	accuracy	98.2%	(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 3 binary32))
✓	accuracy	98.1%	(pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))

Samples

86.0ms

256×

valid

Compiler

Compiled 371 to 40 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 21.0ms (30.4% of total)

ival-sin: 21.0ms (30.4% of total)

ival-div: 12.0ms (17.4% of total)

ival-log1p: 5.0ms (7.2% of total)

ival-pow: 5.0ms (7.2% of total)

ival-expm1: 3.0ms (4.3% of total)

ival-cbrt: 2.0ms (2.9% of total)

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

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

series167.0ms (1.3%)

Memory

-11.1MiB live, 108.4MiB allocated

Counts

19 → 400

Calls

Call 1

Inputs
#<alt (cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32))))>
#<alt (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))>
#<alt (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))>
#<alt (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))>
#<alt (/.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)>
#<alt (.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))))>
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))>
#<alt (sin.f32 (.f32 (PI.f32) (.f32 x tau)))>
#<alt (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))>
#<alt (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))>
#<alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau))>
#<alt (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))>
#<alt (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))>
#<alt (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))>
#<alt (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 3 binary32))>
#<alt (.f32 (PI.f32) (.f32 x tau))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))>

Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))>
#<alt (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))>
#<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 #s(literal -1 binary32) (/.f32 (.f32 (cbrt.f32 #s(literal -1 binary32)) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 (cbrt.f32 #s(literal -1 binary32)) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 (cbrt.f32 #s(literal -1 binary32)) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 (cbrt.f32 #s(literal -1 binary32)) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/3 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/3 binary32) (pow.f32 (PI.f32) #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 -1/3 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/3 binary32) (pow.f32 (PI.f32) #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 1/60 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/60 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 4 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 (.f32 #s(literal 1/18 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/18 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 (.f32 (+.f32 (.f32 #s(literal -1/3 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal -1/3 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/3 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/3 binary32) (pow.f32 (PI.f32) #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 1/60 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/60 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 4 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 (.f32 #s(literal 1/18 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/18 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 #s(literal 1/60 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (+.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 #s(literal 1/60 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 #s(literal 1/36 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (+.f32 (.f32 #s(literal -1/180 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/180 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (+.f32 (.f32 #s(literal -1/2520 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/2520 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 (.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (+.f32 (/.f32 (.f32 (+.f32 (.f32 #s(literal -1/3 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (+.f32 (.f32 #s(literal 1/18 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 (PI.f32) (+.f32 (.f32 #s(literal 1/60 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 #s(literal 1/36 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 (.f32 (+.f32 (.f32 #s(literal -1/3 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (.f32 #s(literal 1/18 binary32) (.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (.f32 tau (.f32 (PI.f32) (+.f32 (.f32 #s(literal 1/60 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))) (/.f32 (.f32 (+.f32 (.f32 #s(literal -1/3 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal -1/3 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))))))))))>
#<alt (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))>
#<alt (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))>
#<alt (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))>
#<alt (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))>
#<alt (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))>
#<alt (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))>
#<alt (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))>
#<alt (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))>
#<alt (/.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))>
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#<alt tau>
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#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))>
#<alt (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))>
#<alt (+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 x (PI.f32))))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #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)>
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#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.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 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/3 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 -1/3 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) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/60 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 1/18 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 -1/3 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) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/60 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 (.f32 #s(literal 1/18 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 #s(literal 1/60 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 #s(literal 1/36 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (+.f32 (.f32 #s(literal -1/180 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (+.f32 (.f32 #s(literal -1/2520 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 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))>
#<alt (/.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))>
#<alt (/.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))>
#<alt (/.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))>
#<alt (/.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))>
#<alt (/.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))>
#<alt (/.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))>
#<alt (/.f32 (pow.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))>
#<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 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 x>
#<alt (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.f32 tau (PI.f32))>
#<alt (*.f32 tau (PI.f32))>

Calls

102 calls:

Time	Variable		Point	Expression
66.0ms	x	@	-inf	(/ (sin (* (PI) (* x tau))) (* x (PI)))
16.0ms	x	@	-inf	(* (pow (/ (sin (* x (* tau (PI)))) (* x (* tau (PI)))) 3) (pow (/ (sin (* x (PI))) (* x (PI))) 3))
10.0ms	tau	@	inf	(* (pow (/ (sin (* x (* tau (PI)))) (* x (* tau (PI)))) 3) (pow (/ (sin (* x (PI))) (* x (PI))) 3))
6.0ms	x	@	0	(* (pow (/ (sin (* x (* tau (PI)))) (* x (* tau (PI)))) 3) (pow (/ (sin (* x (PI))) (* x (PI))) 3))
4.0ms	tau	@	0	(* (pow (/ (sin (* x (* tau (PI)))) (* x (* tau (PI)))) 3) (pow (/ (sin (* x (PI))) (* x (PI))) 3))

rewrite354.0ms (2.8%)

Memory

-2.7MiB live, 390.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

668×	`associate-r`
602×	`times-frac`
566×	`frac-times`
259×	`log1p-expm1-u`
258×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	978
1	830	890

Stop Event

1×	node limit

Counts

19 → 902

Calls

Call 1

Inputs
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32))))
(.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 3 binary32)))
(pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.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 (PI.f32) (.f32 x tau))) (.f32 x (PI.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)))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
(.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 3 binary32))
(.f32 (PI.f32) (.f32 x tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))

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

simplify999.0ms (7.8%)

Memory

24.4MiB live, 1 529.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 050×	`*-commutative`
424×	`+-commutative`
376×	`associate-/r*`
362×	`cube-prod`
340×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1726	91222
1	5235	86960

Stop Event

1×	node limit

Counts

1 302 → 880

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

eval448.0ms (3.5%)

Memory: -102.2MiB live, 400.0MiB allocated
Compiler: Compiled 38 946 to 4 827 computations (87.6% saved)

prune209.0ms (1.6%)

Memory

26.9MiB live, 667.5MiB allocated

Pruning

43 alts after pruning (39 fresh and 4 done)

	Pruned	Kept	Total
New	1 254	23	1 277
Fresh	17	16	33
Picked	3	2	5
Done	1	2	3
Total	1 275	43	1 318

Accuracy

99.8%

Counts

1 318 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) x)
▶	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
	97.3%	(/.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))))
	64.4%	(/.f32 (/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (.f32 tau (PI.f32))))
	97.1%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (.f32 x (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) x))
	96.6%	(/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 1 binary32)) tau)
	97.3%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
	64.2%	(/.f32 (.f32 (/.f32 (.f32 x (.f32 tau (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) tau))
▶	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32)))) tau)
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))) #s(literal 1 binary32))) 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)))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))) tau)
	96.5%	(/.f32 (.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
	97.2%	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
	64.4%	(/.f32 (.f32 tau (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
▶	64.4%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	97.0%	(/.f32 (log.f32 (exp.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) tau)
	96.6%	(-.f32 (exp.f32 (log1p.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 1 binary32))
	97.1%	(.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))))
▶	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) #s(literal 1 binary32))))
	70.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) x))
	95.6%	(.f32 (/.f32 (sin.f32 (.f32 (exp.f32 (log.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x tau)))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 tau (PI.f32))))
▶	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.6%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))))
	97.3%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) x))
	64.3%	(.f32 (.f32 x (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	96.0%	(.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	96.0%	(.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)))))
✓	96.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
✓	97.4%	(.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))))))
	71.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 tau (PI.f32)))))
	70.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	96.6%	(.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	97.2%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	84.8%	(.f32 (log.f32 (exp.f32 (sin.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)))))
	96.7%	(log.f32 (exp.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))))
✓	63.6%	#s(literal 1 binary32)

Compiler

Compiled 1 858 to 1 061 computations (42.9% saved)

simplify117.0ms (0.9%)

Memory

-4.1MiB live, 117.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
✓	cost-diff	6400	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32)))) tau)
	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	cost-diff	0	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
✓	cost-diff	0	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
✓	cost-diff	0	(.f32 x (.f32 tau (PI.f32)))
✓	cost-diff	0	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau)
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	cost-diff	0	(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))) (.f32 x (PI.f32)))
✓	cost-diff	0	(.f32 (.f32 x (PI.f32)) tau)
✓	cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
	cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))

Rules

734×	`associate-/r*`
716×	`distribute-lft-in`
694×	`times-frac`
624×	`associate-+r-`
620×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	1399
1	91	1399
2	258	1397
3	774	1391
4	1511	1391
5	1758	1391
6	3418	1391
7	4207	1391
8	6630	1391

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 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 (.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau)
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(.f32 x (.f32 tau (PI.f32)))
x
(*.f32 tau (PI.f32))
tau
(PI.f32)
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.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)))
(*.f32 x (PI.f32))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 (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 (PI.f32) tau)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32)))) tau)
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.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))
(/.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)))

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

localize196.0ms (1.5%)

Memory

-4.5MiB live, 422.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	98.9%	(*.f32 x (PI.f32))
	accuracy	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.7%	(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32)))
✓	accuracy	98.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
	accuracy	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.9%	(*.f32 tau (PI.f32))
✓	accuracy	98.8%	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
	accuracy	98.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.2%	(sin.f32 (*.f32 x (PI.f32)))
	accuracy	98.9%	(*.f32 x (PI.f32))
	accuracy	98.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	accuracy	98.9%	(*.f32 x (PI.f32))
✓	accuracy	98.8%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.7%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
	accuracy	98.5%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

81.0ms

256×

valid

Compiler

Compiled 347 to 34 computations (90.2% saved)

Precisions

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

ival-sin: 20.0ms (31.2% of total)

ival-div: 19.0ms (29.6% of total)

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

ival-log1p: 3.0ms (4.7% of total)

ival-expm1: 3.0ms (4.7% of total)

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

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

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

series49.0ms (0.4%)

Memory

4.7MiB live, 136.4MiB allocated

Counts

19 → 352

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(/ (sin (- (exp (log (+ 1 (* x (PI))))) 1)) (* x (PI)))
2.0ms	tau	@	0	(/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) x)
2.0ms	tau	@	0	(* (/ (sin (* x (* tau (PI)))) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* x (PI))))
1.0ms	x	@	0	(/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) x)
1.0ms	x	@	-inf	(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI))))

rewrite337.0ms (2.6%)

Memory

8.6MiB live, 725.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

926×	`times-frac`
786×	`frac-times`
562×	`associate-r`
240×	`log1p-expm1-u`
239×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	831
1	743	776

Stop Event

1×	node limit

Counts

19 → 919

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 (.f32 x (PI.f32)) tau)
(sin.f32 (*.f32 x (PI.f32)))
(PI.f32)
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau)
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(.f32 x (.f32 tau (PI.f32)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.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 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32)))) tau)
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.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)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(*.f32 tau (PI.f32))
(.f32 (PI.f32) (.f32 x tau))

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

simplify1.6s (12.7%)

Memory

6.4MiB live, 1 519.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 542×	`fma-define`
894×	`*-commutative`
466×	`distribute-rgt-in`
466×	`distribute-lft-in`
422×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1470	91645
1	4341	88189

Stop Event

1×	node limit

Counts

1 271 → 796

Calls

Call 1

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

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

eval302.0ms (2.4%)

Memory: -2.8MiB live, 318.0MiB allocated
Compiler: Compiled 46 139 to 5 531 computations (88% saved)

prune538.0ms (4.2%)

Memory

-18.4MiB live, 666.7MiB allocated

Pruning

52 alts after pruning (45 fresh and 7 done)

	Pruned	Kept	Total
New	1 712	24	1 736
Fresh	13	21	34
Picked	1	4	5
Done	1	3	4
Total	1 727	52	1 779

Accuracy

99.8%

Counts

1 779 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.8%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
	96.2%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (PI.f32))) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
	70.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) x)
	82.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (log.f32 (exp.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
	97.3%	(/.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))))
	64.4%	(/.f32 (/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
	64.2%	(/.f32 (/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
▶	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (.f32 tau (PI.f32))))
	97.1%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (.f32 x (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) x))
▶	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (PI.f32)))
	84.4%	(/.f32 (/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))) x) (.f32 (PI.f32) tau))
	96.6%	(/.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) #s(literal 1 binary32)) tau)
	95.4%	(/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x)))) #s(literal 1 binary32)) (.f32 (PI.f32) tau))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) tau))
✓	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32)))) tau)
▶	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))) tau)
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau)) (.f32 x (PI.f32)))
	97.2%	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
	64.8%	(/.f32 (.f32 x (+.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (.f32 x (PI.f32)))
	64.4%	(/.f32 (.f32 tau (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
	64.3%	(/.f32 (.f32 tau (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
✓	64.4%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	97.0%	(/.f32 (log.f32 (exp.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) tau)
	64.8%	(+.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)))))
	97.1%	(.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 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)))
	64.2%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
	70.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (.f32 x (PI.f32)) x) (PI.f32)))
✓	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	77.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) #s(literal 1 binary32))))
	70.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) x))
	70.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (/.f32 (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	64.3%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
▶	64.3%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	96.6%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))))
	97.3%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) x))
	97.0%	(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	64.3%	(.f32 (.f32 x (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	96.0%	(.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)))))
✓	96.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
✓	97.4%	(.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))))))
	71.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 tau (PI.f32)))))
	70.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	64.4%	(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
	82.1%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	84.8%	(.f32 (log.f32 (exp.f32 (sin.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)))))
	96.7%	(log.f32 (exp.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))))
✓	63.6%	#s(literal 1 binary32)

Compiler

Compiled 2 034 to 1 200 computations (41% saved)

simplify302.0ms (2.4%)

Memory

8.1MiB live, 127.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
✓	cost-diff	6400	(log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
✓	cost-diff	6400	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))))
✓	cost-diff	6400	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))) tau)
	cost-diff	0	(*.f32 x (PI.f32))
	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (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	384	(.f32 (.f32 x (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
	cost-diff	0	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) x)
	cost-diff	64	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
✓	cost-diff	0	(.f32 x (.f32 tau (PI.f32)))
✓	cost-diff	0	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (.f32 tau (PI.f32))))

Rules

3 386×	`associate-/l/`
2 364×	`*-commutative`
2 078×	`exp-prod`
1 178×	`associate-/r/`
830×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	1407
1	107	1383
2	323	1383
3	1941	1383
4	2538	1383
5	3067	1383
6	3611	1383
7	3822	1383
8	4147	1383
9	4453	1383
10	4919	1383
11	5165	1383
12	5165	1383
13	7232	1383
14	7453	1383
15	7955	1383

Stop Event

1×	node limit

Calls

Call 1

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

localize132.0ms (1%)

Memory

-1.9MiB live, 274.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.3%	(log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
	accuracy	98.9%	(*.f32 x (PI.f32))
	accuracy	98.9%	(*.f32 (PI.f32) tau)
	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.6%	(.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))
	accuracy	98.9%	(*.f32 (PI.f32) tau)
	accuracy	98.9%	(*.f32 tau (PI.f32))
	accuracy	98.8%	(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
✓	accuracy	98.7%	(.f32 (.f32 x (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	accuracy	99.2%	(sin.f32 (*.f32 x (PI.f32)))
	accuracy	98.9%	(*.f32 x (PI.f32))
	accuracy	98.8%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	accuracy	98.7%	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
	accuracy	98.9%	(*.f32 tau (PI.f32))
✓	accuracy	98.8%	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
✓	accuracy	98.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (.f32 tau (PI.f32))))

Samples

76.0ms

256×

valid

Compiler

Compiled 357 to 37 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 19.0ms (33.3% of total)

ival-mult: 18.0ms (31.5% of total)

ival-sin: 12.0ms (21% of total)

ival-log: 4.0ms (7% of total)

ival-exp: 3.0ms (5.3% of total)

ival-pi: 1.0ms (1.8% of total)

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

series31.0ms (0.2%)

Memory

-19.0MiB live, 61.2MiB allocated

Counts

13 → 256

Calls

Call 1

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

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

Calls

69 calls:

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

rewrite179.0ms (1.4%)

Memory

30.0MiB live, 350.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

916×	`times-frac`
396×	`frac-times`
284×	`cbrt-prod`
278×	`add-exp-log`
278×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	689
1	749	653

Stop Event

1×	node limit

Counts

13 → 462

Calls

Call 1

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

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

simplify390.0ms (3%)

Memory

-9.3MiB live, 1 110.6MiB allocated

Algorithm

1×	egg-herbie

Rules

1 422×	`fma-define`
1 332×	`associate-*r/`
1 186×	`associate-*l/`
760×	`*-commutative`
546×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1193	50714
1	3370	48603

Stop Event

1×	node limit

Counts

718 → 604

Calls

Call 1

Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 x (PI.f32))))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 tau (.f32 x (PI.f32)))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 7 binary32)))) (.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))))))))))))))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(.f32 tau (sin.f32 (.f32 x (PI.f32))))
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(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (neg.f32 (.f32 x (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) (.f32 (.f32 x (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x)) (.f32 (.f32 x (PI.f32)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (neg.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) (.f32 (PI.f32) (neg.f32 (.f32 x (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (neg.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) (.f32 (neg.f32 (.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x)) (.f32 (neg.f32 (.f32 x (PI.f32))) (PI.f32)))
(pow.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (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 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (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 (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.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))))
(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 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(exp.f32 (log.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 (log.f32 (cbrt.f32 (pow.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 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (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 (/.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))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32))))
(.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)))) #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)))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 x (PI.f32)))) x))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (cbrt.f32 (.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))
(.f32 (/.f32 (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 (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)) 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)) (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)))))
(.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 (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 #s(literal 1 binary32) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))))
(/.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 (neg.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (neg.f32 (neg.f32 (.f32 x (PI.f32)))))
(pow.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))
(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))
(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 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32)))))
(/.f32 (neg.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32))) (neg.f32 (sin.f32 (.f32 x (*.f32 tau (PI.f32))))))
(pow.f32 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (/.f32 (.f32 x (.f32 tau (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))))))
(cbrt.f32 (pow.f32 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 x (.f32 tau (PI.f32))) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (.f32 x (.f32 tau (PI.f32))) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32)))))))
(log1p.f32 (expm1.f32 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32)))))))
(exp.f32 (log.f32 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32)))))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (.f32 x (.f32 tau (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (.f32 tau (PI.f32))))))
(cbrt.f32 (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (.f32 tau (PI.f32)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 x tau) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 tau (PI.f32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (pow.f32 tau #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 x tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 x (.f32 tau (PI.f32)))))
(log1p.f32 (expm1.f32 (.f32 x (.f32 tau (PI.f32)))))
(exp.f32 (log.f32 (.f32 x (.f32 tau (PI.f32)))))
(exp.f32 (.f32 (log.f32 (.f32 x (*.f32 tau (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))))))
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tau
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(.f32 tau (.f32 x (PI.f32)))
(expm1.f32 (log1p.f32 (.f32 x (.f32 tau (PI.f32)))))
(expm1.f32 (log1p.f32 (.f32 tau (.f32 x (PI.f32)))))
(log1p.f32 (expm1.f32 (.f32 x (.f32 tau (PI.f32)))))
(.f32 tau (.f32 x (PI.f32)))
(exp.f32 (log.f32 (.f32 x (.f32 tau (PI.f32)))))
(.f32 tau (.f32 x (PI.f32)))
(exp.f32 (.f32 (log.f32 (.f32 x (*.f32 tau (PI.f32)))) #s(literal 1 binary32)))
(.f32 tau (.f32 x (PI.f32)))

eval177.0ms (1.4%)

Memory: 8.7MiB live, 601.6MiB allocated
Compiler: Compiled 44 028 to 5 794 computations (86.8% saved)

prune292.0ms (2.3%)

Memory

6.2MiB live, 1 080.7MiB allocated

Pruning

68 alts after pruning (59 fresh and 9 done)

	Pruned	Kept	Total
New	1 644	29	1 673
Fresh	10	30	40
Picked	3	2	5
Done	0	7	7
Total	1 657	68	1 725

Accuracy

99.8%

Counts

1 725 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.8%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
	96.4%	(/.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) #s(literal 3 binary32)) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (.f32 tau (PI.f32))))
	70.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) x)
	82.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (log.f32 (exp.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) x) (.f32 (PI.f32) tau))
	97.3%	(/.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))))
	70.9%	(/.f32 (/.f32 (.f32 x (PI.f32)) x) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (PI.f32)))
	64.4%	(/.f32 (/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
	64.2%	(/.f32 (/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) x) (*.f32 (PI.f32) tau))
✓	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (.f32 tau (PI.f32))))
	97.1%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (.f32 x (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) x))
	64.3%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
	64.1%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 tau (.f32 x (PI.f32)))) (PI.f32)))
	84.6%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))) (PI.f32)))
	64.3%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
	64.2%	(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
	95.4%	(/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x)))) #s(literal 1 binary32)) (.f32 (PI.f32) tau))
	96.2%	(/.f32 (.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))) (cbrt.f32 x))) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) tau))
✓	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32)))) tau)
✓	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))) tau)
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 tau (PI.f32))))
	64.2%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 x (PI.f32)))) (PI.f32))
	96.3%	(/.f32 (.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))))) #s(literal 1 binary32)) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))) tau)
	97.2%	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
	64.8%	(/.f32 (.f32 x (+.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (.f32 x (PI.f32)))
	64.4%	(/.f32 (.f32 tau (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau)
	64.3%	(/.f32 (.f32 tau (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (*.f32 (PI.f32) tau))
	63.4%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 x (.f32 tau (PI.f32))))
	64.2%	(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
✓	64.4%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	84.5%	(/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))))) (.f32 x (*.f32 tau (PI.f32))))
	97.0%	(/.f32 (log.f32 (exp.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) tau)
	71.0%	(/.f32 (PI.f32) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)))
	64.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
	64.3%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
	64.3%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
	64.1%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) x))
	64.8%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	64.8%	(+.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)))))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)))
	64.2%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
✓	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	77.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) #s(literal 1 binary32))))
	70.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) x))
	70.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (/.f32 (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	64.4%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
	63.5%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (PI.f32)))
	64.2%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	64.3%	(.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
	64.7%	(.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))))
	63.5%	(*.f32 (/.f32 #s(literal 1 binary32) x) x)
	96.6%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))))
	97.3%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) x))
	97.0%	(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	63.5%	(.f32 (.f32 x (.f32 tau (PI.f32))) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	96.0%	(.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)))))
✓	96.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
✓	97.4%	(.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))))))
	71.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 tau (PI.f32)))))
	70.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	82.1%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.7%	(log.f32 (exp.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))))
	97.0%	(log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))) x))))
✓	63.6%	#s(literal 1 binary32)

Compiler

Compiled 3 529 to 1 139 computations (67.7% saved)

regimes142.0ms (1.1%)

Memory

-13.3MiB live, 342.8MiB allocated

Counts

117 → 1

Calls

Call 1

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

Calls

4 calls:

36.0ms	tau
34.0ms	(*.f32 x (PI.f32))
33.0ms	x
31.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes49.0ms (0.4%)

Memory

-0.8MiB live, 115.5MiB allocated

Counts

50 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`(*.f32 x (PI.f32))`
97.7%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes47.0ms (0.4%)

Memory

16.1MiB live, 93.7MiB allocated

Counts

46 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes48.0ms (0.4%)

Memory

-7.0MiB live, 112.4MiB allocated

Counts

45 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`tau`
97.2%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes43.0ms (0.3%)

Memory

19.5MiB live, 96.1MiB allocated

Counts

44 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.0%	1	`x`
71.0%	1	`(*.f32 x (PI.f32))`
71.0%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes41.0ms (0.3%)

Memory

-16.3MiB live, 72.7MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	tau
10.0ms	(*.f32 x (PI.f32))
8.0ms	x

Results

Accuracy	Segments	Branch
70.8%	1	`tau`
70.8%	1	`x`
70.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes27.0ms (0.2%)

Memory

12.6MiB live, 50.7MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.8%	1	`x`
64.8%	1	`tau`
64.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.1%)

Memory

-19.2MiB live, 18.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	tau
3.0ms	(*.f32 x (PI.f32))
3.0ms	x

Results

Accuracy	Segments	Branch
64.4%	1	`tau`
64.4%	1	`x`
64.4%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total -0.1b remaining (-1.1%)

Threshold costs -0.1b (-1.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary32)

Calls

2 calls:

2.0ms	x
2.0ms	tau

Results

Accuracy	Segments	Branch
63.6%	1	`x`
63.6%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	534
1	63	534

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0s (8.1%)

Memory

35.3MiB live, 1 030.0MiB allocated

Rules

1 984×	`fma-define`
1 209×	`log1p-expm1-u`
1 050×	`*-commutative`
834×	`associate-l`
764×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	663
1	112	663
2	494	631
3	2565	631
4	5282	631
5	7342	631
0	1726	91222
1	5235	86960
0	26	543
1	465	488
2	5344	488

Stop Event

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

Compiler

Compiled 640 to 169 computations (73.6% saved)

preprocess47.0ms (0.4%)

Memory

31.0MiB live, 106.3MiB allocated

Remove

(abs tau)

(abs x)

Compiler

Compiled 1 138 to 442 computations (61.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze20.0ms (0.2%)

sample2.1s (16.2%)

preprocess115.0ms (0.9%)

explain166.0ms (1.3%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify43.0ms (0.3%)

localize118.0ms (0.9%)

series54.0ms (0.4%)

rewrite536.0ms (4.2%)

simplify498.0ms (3.9%)

eval156.0ms (1.2%)

prune335.0ms (2.6%)

simplify119.0ms (0.9%)

localize220.0ms (1.7%)

series167.0ms (1.3%)

rewrite354.0ms (2.8%)

simplify999.0ms (7.8%)

eval448.0ms (3.5%)

prune209.0ms (1.6%)

simplify117.0ms (0.9%)

localize196.0ms (1.5%)

series49.0ms (0.4%)

rewrite337.0ms (2.6%)

simplify1.6s (12.7%)

eval302.0ms (2.4%)

prune538.0ms (4.2%)

simplify302.0ms (2.4%)

localize132.0ms (1%)

series31.0ms (0.2%)

rewrite179.0ms (1.4%)

simplify390.0ms (3%)

eval177.0ms (1.4%)

prune292.0ms (2.3%)

regimes142.0ms (1.1%)

regimes49.0ms (0.4%)

regimes47.0ms (0.4%)

regimes48.0ms (0.4%)

regimes43.0ms (0.3%)

regimes41.0ms (0.3%)

regimes27.0ms (0.2%)

regimes13.0ms (0.1%)

regimes5.0ms (0%)

simplify5.0ms (0%)

soundness1.0s (8.1%)

preprocess47.0ms (0.4%)

end0.0ms (0%)

Profiling