Metrics for Lanczos kernel

analyze944.0ms (6.4%)

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
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
0%	0%	0%	100%	0%	0%	0%	7
0%	0%	0%	100%	0%	0%	0%	8
0%	0%	0%	100%	0%	0%	0%	9
0%	0%	0%	100%	0%	0%	0%	10
0%	0%	0%	100%	0%	0%	0%	11
0%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample2.0s (13.3%)

Results

1.6s

8256×

valid

Precisions

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

ival-sin: 539.0ms (39.9% of total)

ival-<=: 263.0ms (19.5% of total)

ival-mult: 152.0ms (11.3% of total)

ival-div: 140.0ms (10.4% of total)

...in/eval/compile.rkt:77:19: 126.0ms (9.3% of total)

ival-pi: 95.0ms (7% of total)

ival-and: 25.0ms (1.9% of total)

...in/eval/compile.rkt:76:19: 6.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

preprocess120.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x)

(abs tau)

explain203.0ms (1.4%)

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	2
-	0	254

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	2
-	0	0	254

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Results

57.0ms

512×

valid

Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-sin: 14.0ms (43.1% of total)

ival-mult: 9.0ms (27.7% of total)

ival-div: 6.0ms (18.5% of total)

ival-pi: 2.0ms (6.2% of total)

ival-true: 1.0ms (3.1% of total)

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

eval0.0ms (0%)

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

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
▶	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))

Compiler

Compiled 92 to 44 computations (52.2% saved)

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

localize164.0ms (1.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.8%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.9%	(.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
✓	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.4%	(.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) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
✓	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.4%	(.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))))))

Results

121.0ms

256×

valid

Compiler

Compiled 272 to 27 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 82.0ms (76.8% of total)

ival-sin: 16.0ms (15% of total)

ival-div: 7.0ms (6.6% of total)

ival-pi: 1.0ms (0.9% of total)

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

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

series106.0ms (0.7%)

Counts

19 → 400

Calls

Call 1

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

105 calls:

Time	Variable		Point	Expression
45.0ms	tau	@	0	(* (* x (* (PI) tau)) (* x (PI)))
4.0ms	x	@	0	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
4.0ms	tau	@	-inf	(/ (sin (* (PI) (* x tau))) (* (PI) (* x tau)))
4.0ms	tau	@	inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
3.0ms	x	@	0	(/ (sin (* (PI) (* x tau))) (* (PI) (* x tau)))

rewrite675.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	847
1	595	759
2	5927	759

Stop Event

1×	node limit

Counts

19 → 836

Calls

Call 1

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

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

simplify1.2s (8.4%)

Algorithm

1×	egg-herbie

Rules

1486×	`associate-/r*`
1114×	`associate-/l*`
910×	`associate-*l/`
858×	`associate-*r/`
714×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	917	76034
1	2503	71590
2	7357	71590

Stop Event

1×	node limit

Counts

1236 → 472

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

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

eval165.0ms (1.1%)

Compiler: Compiled 22228 to 2419 computations (89.1% saved)

prune186.0ms (1.3%)

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	797	35	832
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	798	38	836

Accuracy

99.9%

Counts

836 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) (PI.f32)) x)
	97.6%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (.f32 x tau))
	97.2%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) tau) (.f32 x (PI.f32)))
	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
▶	97.6%	(/.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))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) tau))
▶	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	66.3%	(/.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))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.8%	(.f32 (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.4%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	66.0%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	72.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
	96.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.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)))))
✓	97.4%	(.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)))))
	95.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (exp.f32 (log.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32)))))
✓	97.3%	(.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))))))
▶	97.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	95.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)))
	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
	97.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))))
	52.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))))))
	96.9%	(.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	97.2%	(.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.0%	(.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.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)))))
	97.3%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.5%	(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))))
▶	65.6%	#s(literal 1 binary32)

Compiler

Compiled 1663 to 961 computations (42.2% saved)

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2334×	`fma-define`
1016×	`associate-/r*`
940×	`associate-*l/`
726×	`associate--l+`
724×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	1322
1	102	1322
2	344	1320
3	1267	1314
4	2772	1314
5	3212	1314
6	4873	1314
7	6044	1314

Stop Event

1×	node limit

Calls

Call 1

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

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

localize207.0ms (1.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	98.9%	(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
✓	accuracy	98.8%	(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.6%	(/.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))
	accuracy	98.6%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.6%	(/.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)))

Results

145.0ms

256×

valid

Compiler

Compiled 331 to 33 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 34.0ms (47% of total)

ival-mult: 17.0ms (23.5% of total)

ival-sin: 14.0ms (19.4% of total)

ival-log1p: 3.0ms (4.1% of total)

ival-expm1: 2.0ms (2.8% 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)

series43.0ms (0.3%)

Counts

14 → 300

Calls

Call 1

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

75 calls:

Time	Variable		Point	Expression
3.0ms	tau	@	-inf	(* (* (/ 1 (* (PI) tau)) (/ (sin (* (PI) (* x tau))) x)) (/ (sin (* x (PI))) (* x (PI))))
3.0ms	x	@	-inf	(/ (sin (* (PI) (* x tau))) (* x (PI)))
1.0ms	x	@	0	(* (/ (sin (* (PI) (* x tau))) (* (PI) (* x tau))) (/ (sin (* x (PI))) x))
1.0ms	x	@	-inf	(* (/ (sin (* (PI) (* x tau))) (* x (PI))) (sin (* x (PI))))
1.0ms	x	@	0	(* (/ (sin (* (PI) (* x tau))) (* x (PI))) (sin (* x (PI))))

rewrite267.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`times-frac`
578×	`frac-times`
268×	`cbrt-prod`
257×	`log1p-expm1-u`
256×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	744
1	679	726

Stop Event

1×	node limit

Counts

14 → 709

Calls

Call 1

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

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

simplify1.2s (8.4%)

Algorithm

1×	egg-herbie

Rules

1642×	`fma-define`
864×	`*-commutative`
400×	`distribute-lft-neg-in`
398×	`div-sub`
392×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1430	75578
1	4415	73800

Stop Event

1×	node limit

Counts

1009 → 781

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

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

eval136.0ms (0.9%)

Compiler: Compiled 35201 to 4479 computations (87.3% saved)

prune374.0ms (2.5%)

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	1176	30	1206
Fresh	18	12	30
Picked	4	1	5
Done	1	2	3
Total	1199	45	1244

Accuracy

99.9%

Counts

1244 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 3 binary32)) (.f32 (PI.f32) (*.f32 x tau)))
	97.2%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau))) (PI.f32))
	97.2%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) tau) (.f32 x (PI.f32)))
▶	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 (PI.f32) (.f32 x tau)))
	66.3%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
	84.1%	(/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))) #s(literal 1 binary32)) (.f32 (PI.f32) (*.f32 x tau)))
	96.4%	(/.f32 (.f32 (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (PI.f32))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (.f32 x tau) (PI.f32))))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	96.7%	(/.f32 (.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	97.3%	(/.f32 (.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (PI.f32))
	97.2%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (PI.f32))
	96.8%	(/.f32 (.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.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))
	97.3%	(/.f32 (.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
▶	97.4%	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
▶	65.3%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	66.1%	(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	97.6%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) tau) (/.f32 x (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (*.f32 (PI.f32) x)))
	66.3%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	97.2%	(/.f32 (log.f32 (exp.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (pow.f32 x #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))))) (PI.f32))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau)))
▶	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	97.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	94.0%	(.f32 (.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	72.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	81.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau))))))
	83.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal -1 binary32)))) (.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)))))
✓	97.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x tau) (PI.f32))))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	96.5%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.3%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.5%	(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))))
✓	65.6%	#s(literal 1 binary32)

Compiler

Compiled 1991 to 1154 computations (42% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
✓	cost-diff	6400	(log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))))
✓	cost-diff	6400	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) (sin.f32 (*.f32 x (PI.f32))))
✓	cost-diff	6400	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	cost-diff	0	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x)
✓	cost-diff	0	(/.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))))
	cost-diff	0	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) x)
✓	cost-diff	0	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(.f32 tau (.f32 x (PI.f32)))
✓	cost-diff	320	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	6400	(.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)
✓	cost-diff	6400	(sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau))
✓	cost-diff	6400	(/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	6400	(.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Rules

1486×	`swap-sqr`
1182×	`distribute-rgt-neg-in`
1136×	`distribute-lft-neg-in`
1120×	`distribute-lft-out`
918×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	1695
1	114	1649
2	475	1599
3	1507	1449
4	2960	1449
5	4155	1449

Stop Event

1×	node limit

Calls

Call 1

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

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

localize184.0ms (1.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.6%	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
✓	accuracy	98.4%	(exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
✓	accuracy	98.9%	(/.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))))
✓	accuracy	98.9%	(.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.9%	(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
✓	accuracy	98.6%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.1%	(.f32 tau (.f32 x (PI.f32)))
	accuracy	99.0%	(*.f32 x (PI.f32))
	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.8%	(sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau))

Results

90.0ms

256×

valid

Compiler

Compiled 377 to 38 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 24.0ms (33.3% of total)

ival-sin: 18.0ms (24.9% of total)

ival-div: 17.0ms (23.6% of total)

ival-log1p: 4.0ms (5.5% of total)

ival-exp: 3.0ms (4.2% of total)

ival-expm1: 3.0ms (4.2% of total)

ival-log: 3.0ms (4.2% of total)

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

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

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

series51.0ms (0.3%)

Counts

19 → 376

Calls

Call 1

Inputs
#<alt (.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau))>
#<alt (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau))>
#<alt (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)>
#<alt (/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (PI.f32)>
#<alt (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))>
#<alt (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) x)>
#<alt (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))>
#<alt (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x)>
#<alt (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))>
#<alt (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))))>
#<alt (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.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 #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))>
#<alt (.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 #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
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#<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 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>

Calls

102 calls:

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

rewrite277.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`times-frac`
524×	`frac-times`
274×	`log1p-expm1-u`
272×	`expm1-log1p-u`
267×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	927
1	833	873

Stop Event

1×	node limit

Counts

19 → 723

Calls

Call 1

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

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

simplify662.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1072×	`*-commutative`
760×	`distribute-rgt-in`
760×	`distribute-lft-in`
434×	`associate-*r/`
430×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1675	78247
1	4866	77617

Stop Event

1×	node limit

Counts

1099 → 867

Calls

Call 1

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

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

eval606.0ms (4.1%)

Compiler: Compiled 45330 to 5652 computations (87.5% saved)

prune495.0ms (3.4%)

Pruning

54 alts after pruning (48 fresh and 6 done)

	Pruned	Kept	Total
New	1580	24	1604
Fresh	13	24	37
Picked	2	3	5
Done	0	3	3
Total	1595	54	1649

Accuracy

100.0%

Counts

1649 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 3 binary32)) (.f32 (PI.f32) (*.f32 x tau)))
	64.5%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))) (cos.f32 (+.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))))) #s(literal 2 binary32)) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	64.8%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (PI.f32))))) #s(literal 2 binary32)) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.2%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau))) (PI.f32))
	72.8%	(/.f32 (/.f32 (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	96.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (expm1.f32 (log1p.f32 (.f32 (.f32 x tau) (PI.f32)))))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	66.3%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
	84.1%	(/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))) #s(literal 1 binary32)) (.f32 (PI.f32) (*.f32 x tau)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
▶	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	96.7%	(/.f32 (.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	97.2%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (PI.f32))
	66.0%	(/.f32 (.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	96.8%	(/.f32 (.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.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))
	27.0%	(/.f32 (.f32 (log.f32 (+.f32 #s(literal 1 binary32) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	96.2%	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) (sin.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))))) (.f32 (PI.f32) (*.f32 x tau)))
✓	97.4%	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	64.5%	(/.f32 (.f32 tau (pow.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	55.8%	(/.f32 (.f32 tau (-.f32 (exp.f32 (log1p.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	65.3%	(/.f32 (.f32 tau (.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	65.3%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 1 binary32)))
	57.4%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (-.f32 (exp.f32 (log1p.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 1 binary32)))
✓	65.3%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	57.3%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (.f32 (PI.f32) tau))))))
	66.1%	(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	55.7%	(/.f32 (.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 x tau)))
▶	98.0%	(/.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))))
▶	66.3%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	72.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) x) x)
	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau))
	79.9%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 tau (.f32 x (PI.f32))) #s(literal 2 binary32)))) x) (/.f32 (sin.f32 (*.f32 (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))))
	66.2%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	80.5%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 tau (.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	94.0%	(.f32 (.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	72.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
▶	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
▶	81.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau))))))
	83.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal -1 binary32)))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau))))))
✓	97.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x tau) (PI.f32))))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	96.5%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	96.5%	(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))))
✓	65.6%	#s(literal 1 binary32)

Compiler

Compiled 2218 to 1324 computations (40.3% saved)

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1328×	`fma-define`
1206×	`distribute-lft-in`
1122×	`distribute-rgt-in`
1016×	`fmm-def`
842×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	1862
1	136	1746
2	465	1621
3	2409	1595
4	4754	1595
5	7327	1595

Stop Event

1×	node limit

Calls

Call 1

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

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

localize150.0ms (1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
✓	accuracy	98.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau))))))
✓	accuracy	97.7%	(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) #s(literal 3 binary32))
✓	accuracy	85.8%	(-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) #s(literal 3 binary32)) #s(literal 1 binary32))
✓	accuracy	98.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
✓	accuracy	98.8%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
	accuracy	98.9%	(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
✓	accuracy	98.8%	(/.f32 (.f32 x (PI.f32)) (.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 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	accuracy	100.0%	(PI.f32)
	accuracy	99.2%	(sin.f32 (*.f32 x (PI.f32)))
	accuracy	99.0%	(*.f32 x (PI.f32))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
	accuracy	98.9%	(*.f32 (PI.f32) tau)
	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))

Results

80.0ms

256×

valid

Compiler

Compiled 493 to 39 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 22.0ms (35.9% of total)

ival-sin: 17.0ms (27.8% of total)

ival-div: 12.0ms (19.6% of total)

ival-pow: 4.0ms (6.5% of total)

ival-add: 3.0ms (4.9% of total)

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

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

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

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

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

series63.0ms (0.4%)

Counts

11 → 208

Calls

Call 1

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

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)))))>
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#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
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#<alt (+.f32 (.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))) (PI.f32))) (.f32 x (-.f32 (+.f32 (.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 x (-.f32 (+.f32 (.f32 #s(literal -1/18 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (PI.f32) (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32)))))) (+.f32 (.f32 #s(literal -1/162 binary32) (/.f32 (pow.f32 (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 3 binary32)) (PI.f32))) (+.f32 (.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 x (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))) (-.f32 (.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (.f32 #s(literal 1/9 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))))) (.f32 #s(literal 1/3 binary32) (.f32 (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))) (-.f32 (.f32 #s(literal 1/3 binary32) (+.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/9 binary32) (pow.f32 (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32)))))))))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/3 binary32) (+.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/9 binary32) (pow.f32 (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (PI.f32))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (PI.f32) (-.f32 (.f32 #s(literal 1/3 binary32) (+.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/9 binary32) (pow.f32 (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (.f32 #s(literal -1/18 binary32) (/.f32 (.f32 (pow.f32 (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/3 binary32) (+.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/9 binary32) (pow.f32 (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32))))) (PI.f32))))))))) (+.f32 (.f32 #s(literal 1/9 binary32) (.f32 (PI.f32) (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))))) (.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))) (-.f32 (.f32 #s(literal 1/3 binary32) (+.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/9 binary32) (pow.f32 (+.f32 (PI.f32) (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32))))) (PI.f32))))))) (.f32 #s(literal 1/9 binary32) (/.f32 (pow.f32 (+.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32)) (PI.f32))))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32)))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32)))))))))) (/.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32)))))) (*.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32)))))))))))) (/.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32)))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32)))))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))))))))) (/.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32)))))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (+.f32 (.f32 x (PI.f32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 2 binary32))))))) (.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 2 binary32) (.f32 x (PI.f32))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 (PI.f32) x)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 (PI.f32) x)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) x)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>
#<alt (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) x)) (pow.f32 (PI.f32) #s(literal 2 binary32))))>

Calls

54 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(* (sin (* x (* (PI) tau))) (/ (sin (/ (- (pow (+ 1 (* (PI) x)) 3) 1) (+ (* (+ 1 (* (PI) x)) (+ 1 (* (PI) x))) (+ 1 (* (+ 1 (* (PI) x)) 1))))) (* (PI) (* x (* x (* (PI) tau))))))
3.0ms	tau	@	inf	(* (sin (* x (* (PI) tau))) (/ (sin (/ (- (pow (+ 1 (* (PI) x)) 3) 1) (+ (* (+ 1 (* (PI) x)) (+ 1 (* (PI) x))) (+ 1 (* (+ 1 (* (PI) x)) 1))))) (* (PI) (* x (* x (* (PI) tau))))))
3.0ms	tau	@	0	(* (sin (* x (* (PI) tau))) (/ (sin (/ (- (pow (+ 1 (* (PI) x)) 3) 1) (+ (* (+ 1 (* (PI) x)) (+ 1 (* (PI) x))) (+ 1 (* (+ 1 (* (PI) x)) 1))))) (* (PI) (* x (* x (* (PI) tau))))))
2.0ms	tau	@	-inf	(* (sin (* x (* (PI) tau))) (/ (sin (/ (- (pow (+ 1 (* (PI) x)) 3) 1) (+ (* (+ 1 (* (PI) x)) (+ 1 (* (PI) x))) (+ 1 (* (+ 1 (* (PI) x)) 1))))) (* (PI) (* x (* x (* (PI) tau))))))
2.0ms	x	@	-inf	(* (sin (* x (* (PI) tau))) (/ (sin (/ (- (pow (+ 1 (* (PI) x)) 3) 1) (+ (* (+ 1 (* (PI) x)) (+ 1 (* (PI) x))) (+ 1 (* (+ 1 (* (PI) x)) 1))))) (* (PI) (* x (* x (* (PI) tau))))))

rewrite131.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

342×	`log1p-expm1-u`
342×	`expm1-log1p-u`
336×	`add-exp-log`
336×	`add-cube-cbrt`
335×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	709
1	845	674

Stop Event

1×	node limit

Counts

11 → 211

Calls

Call 1

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

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

simplify626.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1434×	`fma-define`
752×	`distribute-lft-in`
744×	`distribute-rgt-in`
602×	`*-commutative`
506×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	911	30720
1	2589	28830
2	7264	28790

Stop Event

1×	node limit

Counts

419 → 452

Calls

Call 1

Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 x (PI.f32))))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
#s(literal 1 binary32)
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(exp.f32 (*.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32))
(fma.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3/2 binary32)) #s(literal -1 binary32))
(-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)))
(*.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 x (PI.f32) #s(literal 1 binary32)))
(*.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32))) #s(literal 3 binary32)))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 x (PI.f32)))) #s(literal 3 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 6 binary32)))
(log.f32 (exp.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 9 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32))))
(exp.f32 (.f32 #s(literal 3 binary32) (log1p.f32 (.f32 x (PI.f32)))))
(exp.f32 (.f32 (.f32 #s(literal 3 binary32) (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))))))) #s(literal 1 binary32))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32))))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))))
(pow.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))))))))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau))))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))))))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))))))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))))))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau)))))) #s(literal 1 binary32)))
(+.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) (.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) (.f32 x (PI.f32))))
(+.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) (.f32 (.f32 x (PI.f32)) (fma.f32 x (PI.f32) #s(literal 1 binary32))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (pow.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 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (.f32 x (PI.f32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (.f32 x (PI.f32))))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (.f32 x (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 x (PI.f32))))))
(pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 6 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 6 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 2 binary32))))
(exp.f32 (.f32 #s(literal 2 binary32) (log1p.f32 (.f32 x (PI.f32)))))
(exp.f32 (.f32 (log1p.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)) (.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) (.f32 x (PI.f32))))
(fma.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 1 binary32)) (.f32 (.f32 x (PI.f32)) (fma.f32 x (PI.f32) #s(literal 1 binary32))))
(fma.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) (.f32 x (PI.f32))))
(fma.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (.f32 x (PI.f32)) (fma.f32 x (PI.f32) #s(literal 1 binary32))))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32))) (.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) (.f32 x (PI.f32))))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32))) (.f32 (.f32 x (PI.f32)) (fma.f32 x (PI.f32) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32))) (.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32)) (.f32 x (PI.f32))))
(fma.f32 (sqrt.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (PI.f32) #s(literal 1 binary32))) (.f32 (.f32 x (PI.f32)) (fma.f32 x (PI.f32) #s(literal 1 binary32))))

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

eval178.0ms (1.2%)

Compiler: Compiled 52901 to 5622 computations (89.4% saved)

prune288.0ms (2%)

Pruning

64 alts after pruning (54 fresh and 10 done)

	Pruned	Kept	Total
New	1546	21	1567
Fresh	10	33	43
Picked	1	4	5
Done	0	6	6
Total	1557	64	1621

Accuracy

100.0%

Counts

1621 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.6%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
	97.4%	(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))) #s(literal 3 binary32))
	64.5%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))) (cos.f32 (+.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))))) #s(literal 2 binary32)) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	64.8%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (PI.f32))))) #s(literal 2 binary32)) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.2%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) x))) (*.f32 x tau))) (PI.f32))
	72.8%	(/.f32 (/.f32 (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 x tau)))
	66.3%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
	84.1%	(/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))) #s(literal 1 binary32)) (.f32 (PI.f32) (*.f32 x tau)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
✓	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	96.7%	(/.f32 (.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	97.2%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (PI.f32))
	72.8%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	27.0%	(/.f32 (.f32 (log.f32 (+.f32 #s(literal 1 binary32) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	96.2%	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) (sin.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))))) (.f32 (PI.f32) (*.f32 x tau)))
✓	97.4%	(/.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	73.0%	(/.f32 (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
	66.6%	(/.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)))
	73.0%	(/.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))))
	55.8%	(/.f32 (.f32 tau (-.f32 (exp.f32 (log1p.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	57.4%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (-.f32 (exp.f32 (log1p.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 1 binary32)))
✓	65.3%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	57.3%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (.f32 (PI.f32) tau))))))
	55.7%	(/.f32 (.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 x tau)))
	73.0%	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
	96.5%	(/.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (PI.f32))))) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
	96.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
✓	98.0%	(/.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))))
✓	66.3%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	73.0%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
✓	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	72.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) x) x)
	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau))
	66.2%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
	79.9%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 tau (.f32 x (PI.f32))) #s(literal 2 binary32)))) x) (/.f32 (sin.f32 (*.f32 (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))))
	66.3%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	66.2%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	80.5%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 tau (.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	94.0%	(.f32 (.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	72.7%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 1 binary32)) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau))))))
	65.3%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	72.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))
✓	81.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau))))))
	83.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal -1 binary32)))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau))))))
✓	97.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x tau) (PI.f32))))
	72.9%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 tau (PI.f32)))))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	72.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 x (PI.f32)) (/.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))))
	72.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (PI.f32) (.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (PI.f32) tau))))))
	72.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 #s(literal 1 binary32) (/.f32 x (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 tau (PI.f32))))))
	72.6%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	96.5%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.0%	(log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
✓	65.6%	#s(literal 1 binary32)

Compiler

Compiled 3642 to 1198 computations (67.1% saved)

regimes140.0ms (1%)

Counts

114 → 1

Calls

Call 1

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

Outputs
(/.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))))

Calls

4 calls:

37.0ms	x
33.0ms	(*.f32 x (PI.f32))
33.0ms	tau
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
98.0%	1	`x`
98.0%	1	`tau`
98.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
98.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes67.0ms (0.5%)

Counts

50 → 1

Calls

Call 1

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

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:

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

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes47.0ms (0.3%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes44.0ms (0.3%)

Counts

44 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

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)

regimes45.0ms (0.3%)

Counts

43 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`(*.f32 x (PI.f32))`
97.3%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes47.0ms (0.3%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.5%	1	`x`
80.5%	1	`(*.f32 x (PI.f32))`
80.5%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes41.0ms (0.3%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	(*.f32 x (PI.f32))
13.0ms	tau
11.0ms	x

Results

Accuracy	Segments	Branch
73.0%	1	`tau`
73.0%	1	`x`
73.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.3%	1	`x`
66.3%	1	`(*.f32 x (PI.f32))`
66.3%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.3%	1	`x`
66.3%	1	`(*.f32 x (PI.f32))`
66.3%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	tau
2.0ms	x
2.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
66.3%	1	`x`
66.3%	1	`(*.f32 x (PI.f32))`
66.3%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.1b remaining (-1.3%)

Threshold costs -0.1b (-1.3%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(literal 1 binary32)

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

(*.f32 (*.f32 tau (*.f32 x (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	tau
2.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	679
1	71	679

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.1s (14.5%)

Rules

1984×	`fma-define`
1486×	`associate-/r*`
1310×	`times-frac`
1244×	`log1p-expm1-u`
1114×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	927
1	833	873
0	917	76034
1	2503	71590
2	7357	71590
0	31	847
1	595	759
2	5927	759
0	38	663
1	112	663
2	494	631
3	2565	631
4	5282	631
5	7342	631
0	1675	78247
1	4866	77617

Stop Event

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

Compiler

Compiled 1409 to 321 computations (77.2% saved)

preprocess62.0ms (0.4%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1390 to 582 computations (58.1% saved)

analyze944.0ms (6.4%)

sample2.0s (13.3%)

preprocess120.0ms (0.8%)

explain203.0ms (1.4%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify38.0ms (0.3%)

localize164.0ms (1.1%)

series106.0ms (0.7%)

rewrite675.0ms (4.6%)

simplify1.2s (8.4%)

eval165.0ms (1.1%)

prune186.0ms (1.3%)

simplify99.0ms (0.7%)

localize207.0ms (1.4%)

series43.0ms (0.3%)

rewrite267.0ms (1.8%)

simplify1.2s (8.4%)

eval136.0ms (0.9%)

prune374.0ms (2.5%)

simplify86.0ms (0.6%)

localize184.0ms (1.2%)

series51.0ms (0.3%)

rewrite277.0ms (1.9%)

simplify662.0ms (4.5%)

eval606.0ms (4.1%)

prune495.0ms (3.4%)

simplify101.0ms (0.7%)

localize150.0ms (1%)

series63.0ms (0.4%)

rewrite131.0ms (0.9%)

simplify626.0ms (4.2%)

eval178.0ms (1.2%)

prune288.0ms (2%)

regimes140.0ms (1%)

regimes67.0ms (0.5%)

regimes47.0ms (0.3%)

regimes44.0ms (0.3%)

regimes45.0ms (0.3%)

regimes47.0ms (0.3%)

regimes41.0ms (0.3%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

simplify7.0ms (0.1%)

soundness2.1s (14.5%)

preprocess62.0ms (0.4%)

end0.0ms (0%)

Profiling