Metrics for Lanczos kernel

analyze6.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 38 to 21 computations (44.7% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample3.0s (25.8%)

Results

2.5s

8256×

valid

Precisions

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

ival-<=: 412.0ms (23.9% of total)

ival-mult: 393.0ms (22.8% of total)

ival-sin: 384.0ms (22.3% of total)

ival-pi: 268.0ms (15.6% of total)

ival-div: 215.0ms (12.5% of total)

ival-and: 26.0ms (1.5% of total)

const: 19.0ms (1.1% of total)

backward-pass: 4.0ms (0.2% of total)

Bogosity

preprocess110.0ms (1%)

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

Symmetry

(abs x)

(abs tau)

explain126.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
1	-	1	(0.7638358473777771 1.28954017162323)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`

Results

77.0ms

512×

256

valid

Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sin: 18.0ms (44.9% of total)

ival-mult: 11.0ms (27.5% of total)

ival-div: 7.0ms (17.5% of total)

ival-pi: 3.0ms (7.5% of total)

const: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 86 to 24 computations (72.1% saved)

prune6.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	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))))
▶	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
▶	97.6%	(.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)))))
▶	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))

Compiler

Compiled 230 to 112 computations (51.3% saved)

localize201.0ms (1.7%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	98.9%	(*.f32 x (PI.f32))
✓	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	98.7%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
✓	98.9%	(*.f32 x (PI.f32))
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
✓	98.7%	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
✓	98.9%	(*.f32 x (PI.f32))
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
✓	98.7%	(.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)))))
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
✓	98.8%	(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
✓	98.7%	(.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))))))
✓	98.9%	(*.f32 x (PI.f32))
✓	98.8%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	98.7%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Results

116.0ms

256×

256

valid

Compiler

Compiled 345 to 29 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 26.0ms (43.9% of total)

ival-sin: 20.0ms (33.7% of total)

ival-div: 12.0ms (20.2% of total)

ival-pi: 1.0ms (1.7% of total)

const: 0.0ms (0% of total)

series87.0ms (0.8%)

Counts

20 → 324

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
9.0ms	tau	@	inf	(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
5.0ms	tau	@	0	(/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau)))))
5.0ms	tau	@	-inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
4.0ms	tau	@	0	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
3.0ms	tau	@	0	(* (/ (sin (* x (* (PI) tau))) (* x (* x (* (PI) tau)))) (/ (sin (* x (PI))) (PI)))

rewrite488.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`log1p-expm1-u`
564×	`times-frac`
528×	`associate-r`
348×	`associate-l`
280×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	788
1	622	722
2	6796	722

Stop Event

1×	node limit

Counts

20 → 772

Calls

Call 1

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

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

simplify490.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1670×	`associate-r`
1442×	`associate-l`
1258×	`associate-/r*`
968×	`associate-*r/`
894×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	934	64476
1	2539	61311

Stop Event

1×	node limit

Counts

1096 → 489

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

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

eval223.0ms (1.9%)

Compiler: Compiled 19091 to 5380 computations (71.8% saved)

prune181.0ms (1.6%)

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	664	37	701
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	665	41	706

Accuracy

99.8%

Counts

706 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.1%	(fma.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
	97.3%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (.f32 (PI.f32) (.f32 x tau))) x)
▶	97.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	97.0%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
▶	96.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (neg.f32 (PI.f32)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.7%	(/.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)))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (pow.f32 x #s(literal 2 binary32)) (neg.f32 (.f32 (PI.f32) tau))))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
▶	65.0%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	97.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))))
	84.1%	(.f32 (/.f32 (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (*.f32 x (PI.f32))))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (exp.f32 (log.f32 (.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 x) (PI.f32)))) (.f32 x (PI.f32))))
✓	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	77.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) #s(literal 1 binary32)))
▶	77.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
	71.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) x)
	97.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (/.f32 tau (sin.f32 (.f32 tau (.f32 x (PI.f32)))))))) (/.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))))
	97.3%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	71.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) x))
	97.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32))))))
	85.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.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))
✓	97.6%	(.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)))))
✓	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	71.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32)))))
	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (PI.f32) (*.f32 x tau)))))
▶	97.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	56.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))))
	97.2%	(.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))))

Compiler

Compiled 1816 to 1061 computations (41.6% saved)

localize279.0ms (2.4%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
	98.7%	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
✓	78.1%	(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
✓	98.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
✓	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	98.7%	(.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32))
	98.7%	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
	98.9%	(*.f32 x (PI.f32))
✓	98.8%	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
✓	99.3%	(sin.f32 (*.f32 x (PI.f32)))
	98.9%	(*.f32 x (PI.f32))
	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	98.9%	(*.f32 x (PI.f32))
✓	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	98.8%	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))
✓	98.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))

Results

171.0ms

256×

256

valid

Compiler

Compiled 357 to 55 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 49.0ms (44.5% of total)

ival-div: 19.0ms (17.2% of total)

ival-pow: 16.0ms (14.5% of total)

ival-sin: 15.0ms (13.6% of total)

ival-log: 5.0ms (4.5% of total)

ival-exp: 3.0ms (2.7% of total)

const: 2.0ms (1.8% of total)

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

series43.0ms (0.4%)

Counts

13 → 280

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Expression
10.0ms	x	@	(/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* (PI) (* x tau))) (* x (PI)))
2.0ms	tau	@	(* (* (pow x 2) tau) (PI))
1.0ms	x	@	(* (sin (* (PI) (* x tau))) (sin (* x (PI))))
1.0ms	x	@	(* (PI) (* (PI) (* x tau)))
1.0ms	tau	@	(* (PI) (* (PI) (* x tau)))

rewrite168.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`times-frac`
374×	`frac-times`
282×	`cbrt-prod`
271×	`log1p-expm1-u`
271×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	598
1	703	587

Stop Event

1×	node limit

Counts

13 → 373

Calls

Call 1

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

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

simplify330.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1456×	`associate-/l*`
1292×	`associate-/r*`
960×	`fma-define`
958×	`associate-*r/`
804×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	879	43410
1	2558	41495

Stop Event

1×	node limit

Counts

653 → 437

Calls

Call 1

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

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

eval345.0ms (3%)

Compiler: Compiled 31933 to 10213 computations (68% saved)

prune279.0ms (2.4%)

Pruning

52 alts after pruning (45 fresh and 7 done)

	Pruned	Kept	Total
New	1191	31	1222
Fresh	18	14	32
Picked	1	4	5
Done	1	3	4
Total	1211	52	1263

Accuracy

99.9%

Counts

1263 → 52

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))
	66.7%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 x (.f32 (PI.f32) tau)))) (cos.f32 (+.f32 (.f32 (PI.f32) x) (.f32 x (.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	66.7%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (PI.f32) (.f32 x tau) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32)))
	66.5%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 x (PI.f32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	97.3%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (.f32 (PI.f32) (.f32 x tau))) x)
	85.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.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 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	71.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	96.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
▶	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	71.3%	(/.f32 (/.f32 (.f32 x (PI.f32)) (PI.f32)) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
✓	96.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	61.8%	(/.f32 (/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) x)))))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (neg.f32 (PI.f32)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))
✓	65.0%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	71.3%	(/.f32 x (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	65.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
	97.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 tau (PI.f32))))))
	64.9%	(/.f32 #s(literal 1 binary32) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	96.7%	(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) tau))) x)))) #s(literal 1 binary32))
	96.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x tau)) x))
	65.0%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) x))) x) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) tau))))
▶	97.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x))
✓	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	77.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) #s(literal 1 binary32)))
	74.7%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))))))
✓	77.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
	71.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) x)
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) tau))) (PI.f32)))
	65.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	97.5%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) tau)))))
	97.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (/.f32 tau (sin.f32 (.f32 tau (.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	65.0%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	97.0%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	71.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) x))
▶	97.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32))))))
	85.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.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))
✓	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	71.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
▶	71.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
✓	97.0%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	65.0%	(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 (PI.f32)))))
▶	64.3%	#s(literal 1 binary32)

Compiler

Compiled 2136 to 1255 computations (41.2% saved)

localize229.0ms (2%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	98.8%	(/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (sin.f32 (.f32 x (PI.f32)))))
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32))))))
✓	98.4%	(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	98.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
	98.8%	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))
✓	98.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	98.9%	(*.f32 x (PI.f32))
	98.8%	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
✓	98.9%	(*.f32 (PI.f32) x)
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.7%	(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
✓	98.7%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))

Results

136.0ms

256×

256

valid

Compiler

Compiled 312 to 56 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-div: 31.0ms (34.5% of total)

ival-mult: 27.0ms (30% of total)

ival-sin: 19.0ms (21.1% of total)

ival-pow: 10.0ms (11.1% of total)

const: 2.0ms (2.2% of total)

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

series34.0ms (0.3%)

Counts

12 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (/ 1 tau) (/ (pow (* x (PI)) 2) (sin (* x (PI)))))
1.0ms	x	@	-inf	(/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (PI)))
1.0ms	x	@	0	(/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (PI)))
1.0ms	x	@	inf	(/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (PI)))
1.0ms	tau	@	0	(/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (PI)))

rewrite163.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`times-frac`
340×	`frac-times`
270×	`log1p-expm1-u`
270×	`add-cube-cbrt`
270×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	555
1	683	553

Stop Event

1×	node limit

Counts

12 → 323

Calls

Call 1

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

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

simplify401.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1326×	`associate-*r/`
1098×	`times-frac`
1018×	`associate-*l/`
940×	`fma-define`
764×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	955	33305
1	2701	32768
2	7924	32768

Stop Event

1×	node limit

Counts

575 → 452

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

eval521.0ms (4.5%)

Compiler: Compiled 22024 to 7747 computations (64.8% saved)

prune372.0ms (3.2%)

Pruning

55 alts after pruning (46 fresh and 9 done)

	Pruned	Kept	Total
New	706	19	725
Fresh	13	27	40
Picked	2	3	5
Done	1	6	7
Total	722	55	777

Accuracy

99.9%

Counts

777 → 55

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))
	66.7%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 x (.f32 (PI.f32) tau)))) (cos.f32 (+.f32 (.f32 (PI.f32) x) (.f32 x (.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	66.7%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (PI.f32) (.f32 x tau) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32)))
	66.5%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 x (PI.f32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	97.3%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (.f32 (PI.f32) (.f32 x tau))) x)
	97.0%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 x (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (.f32 (PI.f32) (*.f32 x tau)))
	71.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	71.3%	(/.f32 (/.f32 (.f32 x (PI.f32)) (PI.f32)) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
✓	96.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	61.8%	(/.f32 (/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) x)))))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	61.9%	(/.f32 (/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) x)))))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (neg.f32 (PI.f32)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	64.9%	(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
✓	65.0%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	71.3%	(/.f32 x (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	65.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
▶	97.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 tau (PI.f32))))))
	64.9%	(/.f32 #s(literal 1 binary32) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	97.2%	(-.f32 (exp.f32 (log1p.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)))))) #s(literal 1 binary32))
	96.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x tau)) x))
	65.0%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) x))
	97.3%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) x))) x) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)))
▶	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
▶	97.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) tau))))
✓	97.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x))
	71.7%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) (/.f32 x x))
✓	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	77.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) #s(literal 1 binary32)))
	74.7%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))))))
✓	77.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
	71.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) x)
	65.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	65.0%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
▶	64.0%	(.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	71.5%	(.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))))
▶	71.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) x))
	71.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 tau x)))
	97.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))))
✓	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	71.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
✓	71.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	71.4%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 (.f32 x (PI.f32)) x) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 tau x))))
	71.5%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (PI.f32) x) (/.f32 x (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 tau x)))))
	71.4%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	65.0%	(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 (PI.f32)))))
	64.9%	(.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x))
✓	64.3%	#s(literal 1 binary32)

Compiler

Compiled 2155 to 1281 computations (40.6% saved)

localize293.0ms (2.5%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
	98.9%	(*.f32 x (PI.f32))
✓	98.8%	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
✓	98.8%	(/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))
✓	98.6%	(.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
	98.9%	(*.f32 x (PI.f32))
	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	98.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
✓	99.0%	(*.f32 tau (PI.f32))
✓	99.0%	(/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))
	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) x))
✓	98.9%	(/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
✓	98.9%	(.f32 (PI.f32) (.f32 x tau))
	98.9%	(*.f32 x (PI.f32))
	98.8%	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
	98.9%	(*.f32 (PI.f32) x)
	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.8%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))
✓	98.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) tau))))

Results

134.0ms

256×

256

valid

Compiler

Compiled 363 to 54 computations (85.1% saved)

Precisions

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

ival-mult: 30.0ms (36.5% of total)

ival-div: 28.0ms (34.1% of total)

ival-sin: 22.0ms (26.8% of total)

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

const: 1.0ms (1.2% of total)

series48.0ms (0.4%)

Counts

11 → 216

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(* (/ x (sin (* x (PI)))) (* x (* tau (PI))))
8.0ms	x	@	-inf	(/ (PI) (sin (* x (* tau (PI)))))
3.0ms	x	@	-inf	(/ (sin (* x (* (PI) tau))) (* (PI) x))
1.0ms	tau	@	0	(/ (PI) (sin (* x (* tau (PI)))))
1.0ms	x	@	0	(/ (PI) (sin (* x (* tau (PI)))))

rewrite149.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`times-frac`
522×	`frac-times`
265×	`add-exp-log`
265×	`add-log-exp`
265×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	483
1	768	475

Stop Event

1×	node limit

Counts

11 → 342

Calls

Call 1

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

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

simplify345.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1278×	`associate-/l*`
990×	`associate-*r/`
896×	`fma-define`
884×	`associate-*l/`
642×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1079	31263
1	3145	30078

Stop Event

1×	node limit

Counts

558 → 523

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

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

eval442.0ms (3.8%)

Compiler: Compiled 31502 to 10508 computations (66.6% saved)

prune321.0ms (2.8%)

Pruning

72 alts after pruning (59 fresh and 13 done)

	Pruned	Kept	Total
New	1137	26	1163
Fresh	8	33	41
Picked	1	4	5
Done	0	9	9
Total	1146	72	1218

Accuracy

99.9%

Counts

1218 → 72

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))
	70.7%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 tau (.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32))
	66.7%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 x (.f32 (PI.f32) tau)))) (cos.f32 (+.f32 (.f32 (PI.f32) x) (.f32 x (.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	66.7%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (PI.f32) (.f32 x tau) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32)))
	66.5%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 x (PI.f32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	97.3%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (.f32 (PI.f32) (.f32 x tau))) x)
	97.0%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 x (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (.f32 (PI.f32) (*.f32 x tau)))
	71.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	71.3%	(/.f32 (/.f32 (.f32 x (PI.f32)) (PI.f32)) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	71.5%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) tau)) x)
✓	96.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	61.8%	(/.f32 (/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) x)))))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
	61.9%	(/.f32 (/.f32 (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) x)))))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	97.6%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (PI.f32) tau)))
	71.7%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
	97.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (*.f32 x tau))))
✓	65.0%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	71.7%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
	71.3%	(/.f32 x (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	65.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
	71.4%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) tau))))
✓	97.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 tau (PI.f32))))))
	71.4%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x tau)))
	64.9%	(/.f32 #s(literal 1 binary32) (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	97.2%	(-.f32 (exp.f32 (log1p.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)))))) #s(literal 1 binary32))
	96.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x tau)) x))
	65.0%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
	65.0%	(.f32 (/.f32 (.f32 x (.f32 tau (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
	97.3%	(.f32 (/.f32 (sin.f32 (/.f32 x (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
✓	97.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x))
✓	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	77.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))) #s(literal 1 binary32)))
	74.7%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))))))
✓	77.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
	71.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) x)
	65.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) tau))))
	65.0%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	96.8%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) tau))))
	64.2%	(.f32 (.f32 tau (.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) x))
	64.0%	(.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (/.f32 x (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))))))
	64.1%	(.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))))))
✓	64.0%	(.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	64.2%	(.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))))
	64.1%	(.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))))
	64.0%	(.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 (.f32 x (PI.f32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))))
	64.2%	(.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))) (/.f32 x (PI.f32)))))
	64.1%	(.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 (PI.f32) (PI.f32)) (/.f32 x (.f32 (PI.f32) (*.f32 x tau))))))
	64.1%	(.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 x tau))))))
	71.6%	(.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) x))
	71.5%	(.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))))
✓	71.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) x))
	71.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 tau x)))
	97.2%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))))
	71.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
✓	97.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	71.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
✓	71.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	71.4%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 (.f32 x (PI.f32)) x) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 tau x))))
	71.5%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) x))
	71.5%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (PI.f32) x) (/.f32 x (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 tau x)))))
	71.4%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	65.0%	(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 (PI.f32)))))
	64.9%	(.f32 tau (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) tau))))
	64.9%	(.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x))
✓	64.3%	#s(literal 1 binary32)

Compiler

Compiled 3855 to 1472 computations (61.8% saved)

regimes146.0ms (1.3%)

Counts

118 → 1

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	(*.f32 x (PI.f32))
36.0ms	x
34.0ms	tau
32.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes66.0ms (0.6%)

Counts

56 → 1

Calls

Call 1

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

24.0ms	tau
18.0ms	(*.f32 x (PI.f32))
17.0ms	x

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)

regimes77.0ms (0.7%)

Counts

55 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	(*.f32 x (PI.f32))
24.0ms	x
23.0ms	tau

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes55.0ms (0.5%)

Counts

50 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	tau
17.0ms	(*.f32 x (PI.f32))
16.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes60.0ms (0.5%)

Counts

46 → 1

Calls

Call 1

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

18.0ms	tau
17.0ms	(*.f32 x (PI.f32))
16.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes52.0ms (0.4%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	(*.f32 x (PI.f32))
16.0ms	tau
14.0ms	x

Results

Accuracy	Segments	Branch
71.7%	1	`x`
71.7%	1	`(*.f32 x (PI.f32))`
71.7%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes25.0ms (0.2%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	tau
7.0ms	x
6.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
71.7%	1	`x`
71.7%	1	`(*.f32 x (PI.f32))`
71.7%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes24.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(*.f32 x (PI.f32))
6.0ms	x
6.0ms	tau

Results

Accuracy	Segments	Branch
65.1%	1	`x`
65.1%	1	`(*.f32 x (PI.f32))`
65.1%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
5.0ms	(*.f32 x (PI.f32))
5.0ms	tau

Results

Accuracy	Segments	Branch
65.0%	1	`x`
65.0%	1	`(*.f32 x (PI.f32))`
65.0%	1	`tau`

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

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

Calls

3 calls:

7.0ms	(*.f32 x (PI.f32))
4.0ms	x
4.0ms	tau

Results

Accuracy	Segments	Branch
65.0%	1	`x`
65.0%	1	`(*.f32 x (PI.f32))`
65.0%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.2%)

Accuracy

Total -0.2b remaining (-1.6%)

Threshold costs -0.2b (-1.6%)

Counts

11 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary32)

Calls

2 calls:

14.0ms	x
3.0ms	tau

Results

Accuracy	Segments	Branch
64.3%	1	`x`
64.3%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	659
1	66	659

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (10.3%)

Rules

1984×	`fma-define`
1670×	`associate-r`
1442×	`associate-l`
1258×	`associate-/r*`
968×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	598
1	703	587
0	934	64476
1	2539	61311
0	32	788
1	622	722
2	6796	722
0	38	663
1	112	663
2	494	631
3	2565	631
4	5282	631
5	7342	631
0	38	483
1	768	475

Stop Event

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

Compiler

Compiled 1502 to 349 computations (76.8% saved)

preprocess104.0ms (0.9%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1194 to 454 computations (62% saved)

analyze6.0ms (0.1%)

sample3.0s (25.8%)

preprocess110.0ms (1%)

explain126.0ms (1.1%)

eval1.0ms (0%)

prune6.0ms (0.1%)

localize201.0ms (1.7%)

series87.0ms (0.8%)

rewrite488.0ms (4.2%)

simplify490.0ms (4.3%)

eval223.0ms (1.9%)

prune181.0ms (1.6%)

localize279.0ms (2.4%)

series43.0ms (0.4%)

rewrite168.0ms (1.5%)

simplify330.0ms (2.9%)

eval345.0ms (3%)

prune279.0ms (2.4%)

localize229.0ms (2%)

series34.0ms (0.3%)

rewrite163.0ms (1.4%)

simplify401.0ms (3.5%)

eval521.0ms (4.5%)

prune372.0ms (3.2%)

localize293.0ms (2.5%)

series48.0ms (0.4%)

rewrite149.0ms (1.3%)

simplify345.0ms (3%)

eval442.0ms (3.8%)

prune321.0ms (2.8%)

regimes146.0ms (1.3%)

regimes66.0ms (0.6%)

regimes77.0ms (0.7%)

regimes55.0ms (0.5%)

regimes60.0ms (0.5%)

regimes52.0ms (0.4%)

regimes25.0ms (0.2%)

regimes24.0ms (0.2%)

regimes20.0ms (0.2%)

regimes17.0ms (0.1%)

regimes18.0ms (0.2%)

simplify5.0ms (0%)

soundness1.2s (10.3%)

preprocess104.0ms (0.9%)

end0.0ms (0%)

Profiling