Metrics for Lanczos kernel

analyze29.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample2.4s (17.7%)

Results

2.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-sin: 535.0ms (31.6% of total)

ival-<=: 436.0ms (25.8% of total)

...c/correct-round.rkt:168:19: 229.0ms (13.5% of total)

ival-div: 228.0ms (13.5% of total)

ival-mult: 179.0ms (10.6% of total)

ival-pi: 41.0ms (2.4% of total)

ival-and: 25.0ms (1.5% of total)

const: 10.0ms (0.6% of total)

ival-assert: 8.0ms (0.5% of total)

Bogosity

preprocess250.0ms (1.8%)

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)

explain190.0ms (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	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Results

110.0ms

512×

valid

Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions

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

ival-div: 38.0ms (54.9% of total)

ival-sin: 17.0ms (24.6% of total)

ival-mult: 11.0ms (15.9% of total)

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

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

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

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 92 to 44 computations (52.2% saved)

simplify40.0ms (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)))

localize251.0ms (1.9%)

Localize:

Found 16 expressions of interest:

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

Results

193.0ms

256×

valid

Compiler

Compiled 272 to 27 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-sin: 60.0ms (46.9% of total)

ival-mult: 59.0ms (46.1% of total)

ival-div: 7.0ms (5.5% of total)

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

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

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

series64.0ms (0.5%)

Counts

19 → 400

Calls

Call 1

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

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

Calls

105 calls:

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

rewrite705.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

19 → 836

Calls

Call 1

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

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

simplify873.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1488×	`associate-/r*`
1116×	`associate-/l*`
910×	`associate-*l/`
850×	`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 → 469

Calls

Call 1

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

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

eval80.0ms (0.6%)

Compiler: Compiled 22116 to 2414 computations (89.1% saved)

prune314.0ms (2.3%)

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	789	40	829
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	790	43	833

Accuracy

99.9%

Counts

833 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.6%	(fma.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal -1/6 binary32))) #s(literal 1 binary32))
	97.6%	(/.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)
	97.3%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32))) tau)
	97.6%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)) (PI.f32))
▶	97.7%	(/.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))
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (.f32 x tau)))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
▶	97.0%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	65.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	96.3%	(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 3 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 x (PI.f32))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	97.6%	(.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))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
▶	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	64.9%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	71.8%	(.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 (.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32))))
▶	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))))
✓	97.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	96.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
✓	97.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))
	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	97.3%	(.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)))))
	97.1%	(.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)))))
	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))))
	97.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 x (PI.f32)))))
	54.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))))
	96.9%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.5%	(.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))))
	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))))
	84.1%	(.f32 (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	96.9%	(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)))))))
▶	64.5%	#s(literal 1 binary32)

Compiler

Compiled 1875 to 1073 computations (42.8% saved)

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	3328	(.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))
✓	cost-diff	3328	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))))
✓	cost-diff	3328	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))))
✓	cost-diff	6432	(pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))
	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))) (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)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
	cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
✓	cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (PI.f32))
✓	cost-diff	3296	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	cost-diff	6400	(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
✓	cost-diff	6400	(.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)
✓	cost-diff	6400	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau))

Rules

1838×	`fma-define`
1216×	`times-frac`
1116×	`distribute-lft-in`
1022×	`associate-/r*`
902×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	1292
1	99	1271
2	292	1261
3	1090	1187
4	2769	1187
5	3722	1187
6	6734	1187

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (expm1.f32 (log1p.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 (expm1.f32 (log1p.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 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(log1p.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
#s(literal 1 binary32)
(/.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 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (PI.f32))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 (PI.f32) (.f32 x tau))
(*.f32 x tau)
tau
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (sin.f32 (.f32 x (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 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))))
(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)) (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))
(pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))
(sqrt.f32 (*.f32 x (PI.f32)))
#s(literal 2 binary32)

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 tau (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (PI.f32)) (.f32 tau (+.f32 (.f32 x (PI.f32)) #s(literal 0 binary32))))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (expm1.f32 (log1p.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (+.f32 (.f32 x (PI.f32)) #s(literal 0 binary32))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 (.f32 x (PI.f32)) tau)
(.f32 x (.f32 (PI.f32) tau))
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)
(.f32 x (.f32 (PI.f32) tau))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(*.f32 x (PI.f32))
(log1p.f32 (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
#s(literal 1 binary32)
(/.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 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 tau (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (PI.f32)) (.f32 tau (+.f32 (.f32 x (PI.f32)) #s(literal 0 binary32))))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (PI.f32))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
(*.f32 x tau)
tau
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 tau (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (PI.f32)) (.f32 tau (+.f32 (.f32 x (PI.f32)) #s(literal 0 binary32))))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (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))
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 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 tau (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (PI.f32)) (.f32 tau (+.f32 (.f32 x (PI.f32)) #s(literal 0 binary32))))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(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)) (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))
(.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))
(pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))
(*.f32 x (PI.f32))
(sqrt.f32 (*.f32 x (PI.f32)))
#s(literal 2 binary32)

localize484.0ms (3.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	98.9%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))
✓	accuracy	98.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))))
✓	accuracy	98.5%	(pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.9%	(*.f32 x (PI.f32))
✓	accuracy	98.7%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
✓	accuracy	98.3%	(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
	accuracy	98.9%	(*.f32 x (PI.f32))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.8%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (.f32 x tau))
✓	accuracy	98.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (PI.f32))
✓	accuracy	98.9%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
	accuracy	98.9%	(*.f32 x (PI.f32))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau))

Results

355.0ms

256×

valid

Compiler

Compiled 325 to 35 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 24.0ms (29.4% of total)

ival-mult: 21.0ms (25.7% of total)

ival-sin: 15.0ms (18.4% of total)

ival-sqrt: 8.0ms (9.8% of total)

ival-pow: 5.0ms (6.1% of total)

ival-expm1: 3.0ms (3.7% of total)

ival-log1p: 3.0ms (3.7% of total)

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

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

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

const: 0.0ms (0% of total)

series350.0ms (2.6%)

Counts

17 → 352

Calls

Call 1

Inputs
#<alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau))>
#<alt (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)>
#<alt (expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))>
#<alt (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (PI.f32))>
#<alt (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))>
#<alt (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))>
#<alt (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))>
#<alt (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))))>
#<alt (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))>
#<alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau))>
#<alt (/.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))>
#<alt (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))>
#<alt (.f32 (PI.f32) (.f32 x tau))>

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

90 calls:

Time	Variable		Point	Expression
259.0ms	x	@	inf	(pow (* x (PI)) 2)
44.0ms	x	@	-inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (* x (* (PI) tau)) (pow (sqrt (* x (PI))) 2))))
4.0ms	x	@	0	(* (PI) (* x tau))
3.0ms	tau	@	inf	(/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (PI) (* x tau)))) (PI))
1.0ms	x	@	-inf	(pow (sqrt (* x (PI))) 2)

rewrite508.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`times-frac`
588×	`associate-r`
328×	`frac-times`
247×	`log1p-expm1-u`
246×	`cbrt-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	809
1	701	741

Stop Event

1×	node limit

Counts

17 → 813

Calls

Call 1

Inputs
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.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))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (PI.f32))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))))
(.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32)))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (.f32 x tau))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
(.f32 (PI.f32) (.f32 x tau))

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

simplify768.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1876×	`fma-define`
1024×	`*-commutative`
622×	`distribute-lft-in`
612×	`distribute-rgt-in`
396×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1514	84077
1	4422	83349

Stop Event

1×	node limit

Counts

1165 → 804

Calls

Call 1

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

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

eval123.0ms (0.9%)

Compiler: Compiled 34284 to 4173 computations (87.8% saved)

prune233.0ms (1.7%)

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	1154	19	1173
Fresh	17	18	35
Picked	3	2	5
Done	2	1	3
Total	1176	40	1216

Accuracy

99.9%

Counts

1216 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.9%	(/.f32 (/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))) #s(literal 1 binary32)) (PI.f32)) (.f32 x tau))
▶	66.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	65.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) #s(literal 2 binary32)) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	97.6%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)) (PI.f32))
✓	97.7%	(/.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))
	97.1%	(/.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (PI.f32)) (*.f32 x tau))
	97.4%	(/.f32 (/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (.f32 x tau))
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	65.0%	(/.f32 (/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (.f32 x tau)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) x)))
	65.1%	(/.f32 (.f32 tau (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (*.f32 x tau))
	65.1%	(/.f32 (.f32 tau (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
▶	65.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	97.0%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) 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 x (PI.f32))) (PI.f32)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau))
▶	97.1%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (pow.f32 (sqrt.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 x (PI.f32))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
	64.9%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
▶	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	71.8%	(.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 (.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32))))
	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))))
	96.9%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	84.1%	(.f32 (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	96.9%	(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)))))))
✓	64.5%	#s(literal 1 binary32)

Compiler

Compiled 1735 to 1015 computations (41.5% saved)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

974×	`associate-r`
840×	`div-sub`
776×	`associate-/l*`
506×	`distribute-rgt-neg-in`
502×	`distribute-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	1660
1	116	1616
2	367	1570
3	1592	1462
4	3141	1462
5	4826	1462

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

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 (+.f32 (.f32 x (PI.f32)) #s(literal 0 binary32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 x (PI.f32)) #s(literal 0 binary32)) tau)) (.f32 (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 (sin.f32 (.f32 x (PI.f32))) (.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))
x
(PI.f32)
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 (+.f32 (.f32 x (PI.f32)) #s(literal 0 binary32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(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 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) tau)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x 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))
(.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))
(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
(.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 (+.f32 (.f32 x (PI.f32)) #s(literal 0 binary32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) tau))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) tau)
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) tau))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 x (PI.f32))))
(+.f32 (*.f32 x (PI.f32)) #s(literal 0 binary32))
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))
(*.f32 (PI.f32) tau)
tau
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)
(/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 #s(literal 2 binary32) (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (.f32 tau #s(literal 2 binary32))))
(/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (.f32 tau #s(literal 2 binary32))))
(/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (.f32 tau #s(literal 2 binary32))))
(/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))))
(-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))))
(-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau)))
(cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau))))
(cos.f32 (.f32 (PI.f32) (.f32 x (-.f32 #s(literal 1 binary32) tau))))
(.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))
(.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))
(.f32 (PI.f32) (.f32 x (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) tau)
#s(literal 1 binary32)
tau
(cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))
(cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))
(.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))
(*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))
(+.f32 #s(literal 1 binary32) tau)
(+.f32 tau #s(literal 1 binary32))
#s(literal 2 binary32)
(.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))

localize307.0ms (2.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	98.9%	(*.f32 x (PI.f32))
✓	accuracy	98.7%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	accuracy	98.3%	(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
✓	accuracy	67.2%	(-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))))
	accuracy	98.9%	(*.f32 x (PI.f32))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
✓	accuracy	98.5%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)
	accuracy	98.9%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
	accuracy	98.9%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
✓	accuracy	100.0%	(PI.f32)
	accuracy	99.3%	(sin.f32 (*.f32 x (PI.f32)))
	accuracy	98.9%	(*.f32 x (PI.f32))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.9%	(sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau))
	accuracy	98.9%	(*.f32 x (PI.f32))
	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau))

Results

166.0ms

256×

valid

Compiler

Compiled 392 to 40 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 26.0ms (32.8% of total)

ival-div: 14.0ms (17.6% of total)

ival-sin: 14.0ms (17.6% of total)

ival-cos: 8.0ms (10.1% of total)

ival-log1p: 5.0ms (6.3% of total)

ival-sub: 4.0ms (5% of total)

ival-expm1: 3.0ms (3.8% of total)

ival-pow: 3.0ms (3.8% of total)

ival-pi: 1.0ms (1.3% of total)

ival-add: 1.0ms (1.3% of total)

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

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

const: 0.0ms (0% of total)

series51.0ms (0.4%)

Counts

14 → 288

Calls

Call 1

Inputs
#<alt (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau))>
#<alt (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau))>
#<alt (PI.f32)>
#<alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) tau)>
#<alt (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))>
#<alt (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau)))>
#<alt (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))>
#<alt (-.f32 #s(literal 1 binary32) tau)>
#<alt (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)>
#<alt (.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))>
#<alt (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))))>
#<alt (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))>

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

Calls

72 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (/ (- (cos (* (* x (PI)) (- 1 tau))) (cos (* (* x (PI)) (+ 1 tau)))) 2) (* tau (pow (* x (PI)) 2)))
3.0ms	x	@	inf	(/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* x (* (PI) tau)))) tau)
2.0ms	tau	@	0	(- (cos (* (* x (PI)) (- 1 tau))) (cos (* (* x (PI)) (+ 1 tau))))
2.0ms	tau	@	0	(/ (/ (- (cos (* (* x (PI)) (- 1 tau))) (cos (* (* x (PI)) (+ 1 tau)))) 2) (* tau (pow (* x (PI)) 2)))
2.0ms	tau	@	-inf	(/ (/ (- (cos (* (* x (PI)) (- 1 tau))) (cos (* (* x (PI)) (+ 1 tau)))) 2) (* tau (pow (* x (PI)) 2)))

rewrite157.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

460×	`frac-times`
346×	`log1p-expm1-u`
344×	`expm1-log1p-u`
340×	`add-cube-cbrt`
337×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	715
1	820	694

Stop Event

1×	node limit

Counts

14 → 281

Calls

Call 1

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

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

simplify406.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1902×	`times-frac`
1792×	`fma-define`
740×	`*-commutative`
624×	`distribute-lft-in`
616×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1143	38676
1	3202	36696

Stop Event

1×	node limit

Counts

569 → 551

Calls

Call 1

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

Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32))
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(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) #s(literal 1/2 binary32)) tau)) (.f32 x (PI.f32))) (/.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) #s(literal 1/2 binary32)) tau)) (*.f32 x (PI.f32))))
(pow.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (/.f32 #s(literal 1/2 binary32) tau))) (.f32 x (PI.f32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (/.f32 #s(literal 1/2 binary32) tau))) (.f32 x (PI.f32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(pow.f32 (cbrt.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) #s(literal 3 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(pow.f32 (pow.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) #s(literal 1/2 binary32)) tau)) (.f32 x (PI.f32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (/.f32 #s(literal 1/2 binary32) tau))) (.f32 x (PI.f32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (/.f32 #s(literal 1/2 binary32) tau))) (.f32 x (PI.f32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 tau (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))))) (/.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 tau (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau)))))) (/.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 tau (.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(fabs.f32 (.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))
(log.f32 (exp.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32))))))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 3 binary32)))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (.f32 (pow.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (pow.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (.f32 (pow.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (pow.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 tau (.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32))))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (log.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (*.f32 tau (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))

eval243.0ms (1.8%)

Compiler: Compiled 47407 to 5917 computations (87.5% saved)

prune353.0ms (2.6%)

Pruning

54 alts after pruning (47 fresh and 7 done)

	Pruned	Kept	Total
New	1600	20	1620
Fresh	5	27	32
Picked	1	4	5
Done	0	3	3
Total	1606	54	1660

Accuracy

100.0%

Counts

1660 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.5%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
	83.9%	(/.f32 (/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))) #s(literal 1 binary32)) (PI.f32)) (.f32 x tau))
	66.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	65.6%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	66.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (.f32 tau (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) x)))
	66.0%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (.f32 tau (.f32 (.f32 (.f32 x (PI.f32)) x) (PI.f32))))
	66.0%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (.f32 tau (exp.f32 (.f32 #s(literal 2 binary32) (log.f32 (*.f32 x (PI.f32)))))))
	65.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) #s(literal 2 binary32)) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	97.6%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau)) (PI.f32))
✓	97.7%	(/.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))
	97.1%	(/.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (PI.f32)) (*.f32 x tau))
	97.4%	(/.f32 (/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (.f32 x tau))
▶	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	65.0%	(/.f32 (/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
▶	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (.f32 x tau)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) x)))
	65.5%	(/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (.f32 x (PI.f32)))
	65.1%	(/.f32 (.f32 tau (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (*.f32 x tau))
	65.1%	(/.f32 (.f32 tau (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
✓	65.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	97.0%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) 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 x (PI.f32))) (PI.f32)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	65.0%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
▶	65.8%	(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	96.6%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (PI.f32))))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
	97.2%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau))
✓	97.1%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
	65.1%	(.f32 (/.f32 (.f32 tau (sin.f32 (*.f32 x (PI.f32)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
	96.5%	(.f32 (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 2 binary32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.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 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
✓	97.9%	(.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))))
	65.1%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	84.3%	(.f32 (/.f32 (log.f32 (exp.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))))
	65.1%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	97.6%	(.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
▶	64.4%	(.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
	64.9%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	96.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
✓	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
▶	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 x (PI.f32))))
	96.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32))))
	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))))
	65.1%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
	96.9%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	65.2%	(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
	96.9%	(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)))))))
✓	64.5%	#s(literal 1 binary32)

Compiler

Compiled 2190 to 1341 computations (38.8% saved)

simplify84.0ms (0.6%)

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) (-.f32 #s(literal 1 binary32) tau))
✓	cost-diff	0	(.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))
✓	cost-diff	0	(cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau))))
	cost-diff	0	(*.f32 x (PI.f32))
	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
	cost-diff	0	(.f32 (sin.f32 (.f32 x (PI.f32))) (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 (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	64	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	cost-diff	0	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)
	cost-diff	0	(PI.f32)
	cost-diff	0	(*.f32 x (PI.f32))
✓	cost-diff	256	(.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
✓	cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
✓	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))

Rules

1212×	`associate-/r/`
1012×	`fma-define`
824×	`associate-*r/`
646×	`associate-/l*`
626×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	1483
1	121	1347
2	342	1307
3	1269	1307
4	3263	1307
5	5192	1307

Stop Event

1×	node limit

Calls

Call 1

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

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

localize235.0ms (1.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
✓	accuracy	98.5%	(*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))
	accuracy	98.3%	(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
✓	accuracy	67.2%	(-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau)))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
	accuracy	98.9%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
✓	accuracy	98.7%	(/.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	99.0%	(*.f32 (PI.f32) tau)
	accuracy	98.9%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.8%	(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32))
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	accuracy	100.0%	(PI.f32)
✓	accuracy	99.1%	(.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
	accuracy	98.9%	(*.f32 x (PI.f32))
	accuracy	98.5%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)
	accuracy	98.9%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
✓	accuracy	98.7%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
✓	accuracy	98.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (.f32 x tau)))

Results

168.0ms

256×

valid

Compiler

Compiled 352 to 43 computations (87.8% saved)

Precisions

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

ival-mult: 25.0ms (34.7% of total)

ival-div: 18.0ms (25% of total)

ival-sin: 12.0ms (16.7% of total)

ival-cos: 8.0ms (11.1% of total)

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

ival-sub: 2.0ms (2.8% of total)

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

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

const: 1.0ms (1.4% of total)

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

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

series41.0ms (0.3%)

Counts

17 → 336

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(cos (* x (* (PI) (- 1 tau))))
2.0ms	tau	@	-inf	(- (cos (* x (* (PI) (- 1 tau)))) (cos (* x (* (PI) (+ 1 tau)))))
1.0ms	tau	@	0	(/ (* (sin (* x (PI))) (sin (* (PI) (* x tau)))) x)
1.0ms	tau	@	0	(* (/ (- (cos (* x (* (PI) (- 1 tau)))) (cos (* x (* (PI) (+ 1 tau))))) tau) (/ 1/2 (pow (* x (PI)) 2)))
1.0ms	x	@	0	(* (/ (- (cos (* x (* (PI) (- 1 tau)))) (cos (* x (* (PI) (+ 1 tau))))) tau) (/ 1/2 (pow (* x (PI)) 2)))

rewrite159.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

406×	`log1p-expm1-u`
406×	`expm1-log1p-u`
405×	`add-cube-cbrt`
403×	`add-exp-log`
402×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	789
1	925	785

Stop Event

1×	node limit

Counts

17 → 300

Calls

Call 1

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

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

simplify294.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1198×	`times-frac`
866×	`*-commutative`
764×	`distribute-lft-in`
760×	`distribute-rgt-in`
406×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1240	37641
1	3477	35651

Stop Event

1×	node limit

Counts

636 → 576

Calls

Call 1

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

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

eval215.0ms (1.6%)

Compiler: Compiled 36180 to 5285 computations (85.4% saved)

prune795.0ms (5.9%)

Pruning

62 alts after pruning (51 fresh and 11 done)

	Pruned	Kept	Total
New	1212	25	1237
Fresh	16	26	42
Picked	1	4	5
Done	0	7	7
Total	1229	62	1291

Accuracy

100.0%

Counts

1291 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.5%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
	65.9%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	65.9%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) #s(literal 2 binary32)) x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
	65.8%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) #s(literal 2 binary32)) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	66.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	65.6%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	66.0%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) #s(literal 2 binary32)) (.f32 tau (exp.f32 (.f32 #s(literal 2 binary32) (log.f32 (*.f32 x (PI.f32)))))))
✓	97.7%	(/.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))
	97.1%	(/.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (PI.f32)) (*.f32 x tau))
	97.4%	(/.f32 (/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (.f32 x tau))
✓	97.5%	(/.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))))
	84.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (log.f32 (exp.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	71.7%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)) (PI.f32))
✓	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (.f32 x tau)))
	64.5%	(/.f32 (.f32 (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
	71.8%	(/.f32 (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)) (PI.f32))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) x)))
	65.5%	(/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (.f32 x (PI.f32)))
	64.2%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
✓	65.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	72.0%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
	70.7%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32))))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	65.0%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
	66.0%	(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)) (.f32 (PI.f32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	65.9%	(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) x)))
	65.9%	(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 tau (-.f32 (/.f32 (PI.f32) tau) (PI.f32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) tau) (/.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	96.6%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (PI.f32))))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
✓	97.1%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
	96.5%	(.f32 (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 2 binary32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.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 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 x (.f32 (PI.f32) tau))))
	65.1%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	65.1%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	71.9%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (PI.f32)))
	97.1%	(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
✓	64.4%	(.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
	64.5%	(.f32 (.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
	64.3%	(.f32 (.f32 x (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
	64.3%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	71.8%	(.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (/.f32 (PI.f32) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)) #s(literal -1 binary32)))
	96.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
✓	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
✓	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 x (PI.f32))))
	96.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32))))
	71.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau)))
	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	71.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (/.f32 #s(literal 1 binary32) (PI.f32))))
	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))))
	65.1%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
	71.7%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (PI.f32)))
	96.9%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	54.6%	(.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (PI.f32))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
	96.6%	(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (*.f32 x tau))))))
	64.3%	(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)))))
✓	64.5%	#s(literal 1 binary32)

Compiler

Compiled 3420 to 1174 computations (65.7% saved)

regimes279.0ms (2.1%)

Counts

108 → 1

Calls

Call 1

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

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

Calls

4 calls:

134.0ms	(*.f32 x (PI.f32))
29.0ms	(.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))))
29.0ms	tau
28.0ms	x

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes99.0ms (0.7%)

Counts

87 → 1

Calls

Call 1

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

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:

24.0ms	x
23.0ms	(*.f32 x (PI.f32))
23.0ms	(.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))))
23.0ms	tau

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes40.0ms (0.3%)

Counts

41 → 1

Calls

Call 1

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

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:

13.0ms	tau
12.0ms	x
11.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes42.0ms (0.3%)

Counts

40 → 1

Calls

Call 1

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

Calls

3 calls:

16.0ms	x
12.0ms	(*.f32 x (PI.f32))
11.0ms	tau

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes36.0ms (0.3%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(*.f32 x (PI.f32))
11.0ms	x
10.0ms	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)

regimes163.0ms (1.2%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	tau
10.0ms	(*.f32 x (PI.f32))
10.0ms	x

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`tau`
96.9%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes38.0ms (0.3%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	tau
10.0ms	(*.f32 x (PI.f32))
10.0ms	x

Results

Accuracy	Segments	Branch
72.0%	1	`tau`
72.0%	1	`x`
72.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes17.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
5.0ms	(*.f32 x (PI.f32))
5.0ms	tau

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.2%	1	`tau`
65.2%	1	`x`
65.2%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.2b remaining (-1.4%)

Threshold costs -0.2b (-1.4%)

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary32)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.5%	1	`x`
64.5%	1	`(*.f32 x (PI.f32))`
64.5%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	666
1	70	666

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.6s (11.5%)

Rules

1984×	`fma-define`
1488×	`associate-/r*`
1244×	`log1p-expm1-u`
1198×	`times-frac`
1116×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1240	37641
1	3477	35651
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

Stop Event

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

Compiler

Compiled 973 to 248 computations (74.5% saved)

preprocess62.0ms (0.5%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1470 to 666 computations (54.7% saved)

analyze29.0ms (0.2%)

sample2.4s (17.7%)

preprocess250.0ms (1.8%)

explain190.0ms (1.4%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify40.0ms (0.3%)

localize251.0ms (1.9%)

series64.0ms (0.5%)

rewrite705.0ms (5.2%)

simplify873.0ms (6.4%)

eval80.0ms (0.6%)

prune314.0ms (2.3%)

simplify85.0ms (0.6%)

localize484.0ms (3.6%)

series350.0ms (2.6%)

rewrite508.0ms (3.8%)

simplify768.0ms (5.7%)

eval123.0ms (0.9%)

prune233.0ms (1.7%)

simplify93.0ms (0.7%)

localize307.0ms (2.3%)

series51.0ms (0.4%)

rewrite157.0ms (1.2%)

simplify406.0ms (3%)

eval243.0ms (1.8%)

prune353.0ms (2.6%)

simplify84.0ms (0.6%)

localize235.0ms (1.7%)

series41.0ms (0.3%)

rewrite159.0ms (1.2%)

simplify294.0ms (2.2%)

eval215.0ms (1.6%)

prune795.0ms (5.9%)

regimes279.0ms (2.1%)

regimes99.0ms (0.7%)

regimes40.0ms (0.3%)

regimes42.0ms (0.3%)

regimes36.0ms (0.3%)

regimes163.0ms (1.2%)

regimes38.0ms (0.3%)

regimes17.0ms (0.1%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

simplify5.0ms (0%)

soundness1.6s (11.5%)

preprocess62.0ms (0.5%)

end0.0ms (0%)

Profiling