Metrics for Lanczos kernel

analyze1.0ms (0%)

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 24 computations (36.8% saved)

Precisions

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

Operation ival-pi, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-and, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-<=, time spent: 0.0ms, 0.0% of total-time

Operation ival-sin, time spent: 0.0ms, 0.0% of total-time

sample3.0s (18.4%)

Results

2.7s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

Operation ival-mult, time spent: 376.0ms, 28.0% of total-time

Operation ival-<=, time spent: 326.0ms, 24.0% of total-time

Operation ival-sin, time spent: 320.0ms, 24.0% of total-time

Operation ival-pi, time spent: 144.0ms, 11.0% of total-time

Operation ival-div, time spent: 122.0ms, 9.0% of total-time

Operation ival-and, time spent: 31.0ms, 2.0% of total-time

Operation const, time spent: 23.0ms, 2.0% of total-time

Bogosity

preprocess625.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

992×	`fma-define`
417×	`associate-l`
382×	`distribute-lft-neg-in`
380×	`distribute-frac-neg2`
334×	`times-frac`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
3	-	2	(0.9820778965950012 3.4492290019989014)	`(sin.f32 (*.f32 x (PI.f32)))`
1	-	1	(0.31577423214912415 3.1532671451568604)	`(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)`

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)

Compiler

Compiled 153 to 38 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

Operation ival-sin, time spent: 150.0ms, 82.0% of total-time

Operation ival-mult, time spent: 20.0ms, 11.0% of total-time

Operation ival-div, time spent: 7.0ms, 4.0% of total-time

Operation ival-pi, time spent: 5.0ms, 3.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

eval1.0ms (0%)

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

prune6.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.1%	(.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)))))
▶	97.2%	(.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)

localize461.0ms (2.8%)

Localize:

Found 20 expressions with local error:

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

Compiler

Compiled 345 to 36 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

Operation ival-mult, time spent: 40.0ms, 54.0% of total-time

Operation ival-sin, time spent: 20.0ms, 27.0% of total-time

Operation ival-div, time spent: 11.0ms, 15.0% of total-time

Operation ival-pi, time spent: 3.0ms, 4.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series100.0ms (0.6%)

Counts

20 → 356

Calls

Call 1

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

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

99 calls:

Time	Variable		Point	Expression
36.0ms	x	@	-inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (* x (* (PI) tau)) (* x (PI)))))
5.0ms	tau	@	inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
4.0ms	x	@	inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
2.0ms	x	@	0	(* (PI) (* x tau))
2.0ms	x	@	0	(/ (sin (* x (PI))) (* x (PI)))

rewrite462.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`log1p-expm1-u`
282×	`times-frac`
263×	`associate-r`
188×	`add-exp-log`
188×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	717
1	616	662
2	6785	662

Stop Event

1×	node limit

Counts

20 → 635

Calls

Call 1

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

simplify389.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

954×	`times-frac`
757×	`associate-r`
690×	`associate-l`
510×	`associate-/r*`
333×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	757	53323
1	2067	50759

Stop Event

1×	node limit

Counts

991 → 377

Calls

Call 1

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

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

eval176.0ms (1.1%)

Compiler: Compiled 19070 to 4957 computations (74% saved)

prune185.0ms (1.1%)

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	693	36	729
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	695	39	734

Accuracy

99.7%

Counts

734 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.4%	(fma.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 2 binary32))) #s(literal -1/6 binary32))) #s(literal 1 binary32))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) x) (.f32 (PI.f32) (.f32 x tau)))
	97.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) x))
	97.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
▶	96.7%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))))
	97.0%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 tau (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) x))))
	96.7%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))
	96.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) (.f32 (PI.f32) (/.f32 tau (sin.f32 (.f32 tau (.f32 x (PI.f32))))))))
▶	60.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	96.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))))
	96.4%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))))
	96.7%	(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))))) #s(literal 1 binary32))
	77.5%	(.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 tau (.f32 x (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (.f32 x (PI.f32))))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (expm1.f32 (log1p.f32 (.f32 tau (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (pow.f32 (cbrt.f32 (.f32 (PI.f32) tau)) #s(literal 3 binary32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
✓	97.1%	(.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)))
▶	97.1%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (PI.f32)))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (exp.f32 (log.f32 (.f32 (PI.f32) tau)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.7%	(.f32 (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (/.f32 tau (sin.f32 (.f32 tau (.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.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))))
▶	96.9%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.7%	(.f32 (.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 2 binary32))) (sqrt.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (sqrt.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (sin.f32 (.f32 x (pow.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal 1/3 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	97.2%	(.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))))))
	96.4%	(.f32 (sin.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	97.1%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))))))

Compiler

Compiled 1823 to 1044 computations (42.7% saved)

localize1.3s (8.1%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	98.9%	(*.f32 (PI.f32) x)
	98.8%	(*.f32 (PI.f32) tau)
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))) (PI.f32)))
	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	98.7%	(.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))
✓	98.7%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))
	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	98.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))
✓	99.0%	(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 (.f32 x (PI.f32)) tau))
✓	98.8%	(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (.f32 x (PI.f32)))
✓	98.6%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Compiler

Compiled 352 to 64 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

Operation ival-mult, time spent: 42.0ms, 25.0% of total-time

Operation composed, time spent: 31.0ms, 19.0% of total-time

Operation ival-sin, time spent: 30.0ms, 18.0% of total-time

Operation ival-div, time spent: 24.0ms, 15.0% of total-time

Operation ival-log, time spent: 9.0ms, 5.0% of total-time

Operation ival-add, time spent: 8.0ms, 5.0% of total-time

Operation ival-exp, time spent: 6.0ms, 4.0% of total-time

Operation ival-pow, time spent: 6.0ms, 4.0% of total-time

Operation ival-pi, time spent: 4.0ms, 2.0% of total-time

Operation ival-sub, time spent: 3.0ms, 2.0% of total-time

Operation const, time spent: 3.0ms, 2.0% of total-time

series25.0ms (0.2%)

Counts

10 → 196

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Expression
3.0ms	x	@	(sin (* (* x (PI)) tau))
1.0ms	tau	@	(* (* (PI) tau) (pow x 2))
0.0ms	x	@	(/ (/ (sin (* (PI) (* x tau))) (* (* (PI) tau) (pow x 2))) (/ (PI) (sin (* (PI) x))))
0.0ms	tau	@	(/ (/ (sin (* (PI) (* x tau))) (* (* (PI) tau) (pow x 2))) (/ (PI) (sin (* (PI) x))))
0.0ms	x	@	(* (/ (sin (* x (* (PI) tau))) (* x (* x (* (PI) tau)))) (/ (sin (- (exp (log (+ 1 (* (PI) x)))) 1)) (PI)))

rewrite172.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`times-frac`
267×	`associate-r`
234×	`frac-times`
226×	`log1p-expm1-u`
225×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	412
1	746	412

Stop Event

1×	node limit

Counts

10 → 450

Calls

Call 1

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

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

simplify537.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

412×	`cube-prod`
412×	`fma-define`
408×	`cube-div`
366×	`associate-/l/`
322×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1088	40594
1	3084	38844
2	6537	38844

Stop Event

1×	node limit

Counts

646 → 594

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

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

eval510.0ms (3.1%)

Compiler: Compiled 40937 to 12667 computations (69.1% saved)

prune671.0ms (4.1%)

Pruning

52 alts after pruning (48 fresh and 4 done)

	Pruned	Kept	Total
New	1493	30	1523
Fresh	13	18	31
Picked	3	2	5
Done	1	2	3
Total	1510	52	1562

Accuracy

99.7%

Counts

1562 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
	97.1%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (.f32 x (.f32 (PI.f32) tau))) x)
	97.3%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) x) (.f32 x (.f32 (PI.f32) tau)))
	97.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
	96.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (pow.f32 (.f32 x (sqrt.f32 (.f32 (PI.f32) tau))) #s(literal 2 binary32))) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))))
	60.7%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
▶	59.9%	(/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))
	96.8%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 (PI.f32) (.f32 tau (pow.f32 x #s(literal 2 binary32)))) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	96.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) (.f32 (PI.f32) (/.f32 tau (sin.f32 (.f32 tau (.f32 x (PI.f32))))))))
✓	60.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
▶	96.6%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
	60.7%	(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))))
	96.7%	(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))))) #s(literal 1 binary32))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (.f32 x (PI.f32))))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (expm1.f32 (log1p.f32 (.f32 tau (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	60.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (pow.f32 (cbrt.f32 (.f32 (PI.f32) tau)) #s(literal 3 binary32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
✓	97.1%	(.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)))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (exp.f32 (log.f32 (.f32 (PI.f32) tau)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 tau (pow.f32 x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) x)) (sin.f32 (.f32 x (PI.f32))))
	97.7%	(.f32 (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	60.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
	60.6%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	97.2%	(.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))))
	97.2%	(.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau (pow.f32 x #s(literal 2 binary32))))) (PI.f32)) (sqrt.f32 (sin.f32 (.f32 x (PI.f32))))) (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))))
	83.1%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #s(literal 1 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	83.5%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (.f32 x (PI.f32))))))
	83.5%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 x (PI.f32))))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
	67.4%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	96.8%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))
	96.9%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (cbrt.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (cbrt.f32 (.f32 x (PI.f32))))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (.f32 x (PI.f32))))
	97.0%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (sin.f32 (.f32 x (pow.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal 1/3 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	97.1%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	96.3%	(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))))))

Compiler

Compiled 2363 to 1395 computations (41% saved)

localize1.2s (7.4%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	98.8%	(sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) tau))
	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	98.6%	(/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	98.5%	(pow.f32 (sqrt.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))
	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	98.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) tau))
✓	84.9%	(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32))
✓	98.8%	(*.f32 tau (PI.f32))
✓	98.8%	(/.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32))))
✓	98.8%	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
✓	98.7%	(.f32 (.f32 tau (PI.f32)) (PI.f32))
	98.9%	(*.f32 x (PI.f32))
	98.9%	(*.f32 x (PI.f32))
	98.8%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	98.8%	(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (expm1.f32 (log1p.f32 (.f32 (PI.f32) x))))
	98.6%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Compiler

Compiled 382 to 91 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 531.0ms

Operation ival-add, time spent: 338.0ms, 64.0% of total-time

Operation ival-mult, time spent: 47.0ms, 9.0% of total-time

Operation ival-sin, time spent: 44.0ms, 8.0% of total-time

Operation composed, time spent: 28.0ms, 5.0% of total-time

Operation ival-div, time spent: 26.0ms, 5.0% of total-time

Operation ival-sub, time spent: 13.0ms, 2.0% of total-time

Operation ival-log, time spent: 10.0ms, 2.0% of total-time

Operation ival-pow, time spent: 8.0ms, 2.0% of total-time

Operation ival-exp, time spent: 7.0ms, 1.0% of total-time

Operation const, time spent: 4.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 1.0% of total-time

Operation ival-pi, time spent: 3.0ms, 1.0% of total-time

series27.0ms (0.2%)

Counts

10 → 152

Calls

Call 1

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

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

45 calls:

Time	Variable		Point	Expression
5.0ms	tau	@	0	(* (* tau (PI)) (PI))
2.0ms	x	@	-inf	(pow (sqrt (* (PI) x)) 2)
2.0ms	x	@	-inf	(/ (sin (* (pow (sqrt (* (PI) x)) 2) tau)) (* (* x (PI)) tau))
1.0ms	tau	@	0	(/ (* x (* (* tau (PI)) (PI))) (sin (* x (PI))))
1.0ms	x	@	0	(/ (* x (* (* tau (PI)) (PI))) (sin (* x (PI))))

rewrite250.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`log1p-expm1-u`
221×	`associate-r`
209×	`expm1-log1p-u`
206×	`add-exp-log`
206×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	291
1	710	287
2	7073	287

Stop Event

1×	node limit

Counts

10 → 426

Calls

Call 1

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

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

simplify320.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

788×	`times-frac`
445×	`exp-prod`
382×	`associate-*r/`
376×	`associate-/l*`
329×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	907	25728
1	2388	25263
2	7370	25259

Stop Event

1×	node limit

Counts

578 → 496

Calls

Call 1

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

eval438.0ms (2.7%)

Compiler: Compiled 41460 to 12909 computations (68.9% saved)

prune328.0ms (2%)

Pruning

68 alts after pruning (59 fresh and 9 done)

	Pruned	Kept	Total
New	1396	24	1420
Fresh	8	35	43
Picked	0	5	5
Done	0	4	4
Total	1404	68	1472

Accuracy

99.7%

Counts

1472 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
▶	58.8%	(/.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (.f32 x (PI.f32)))
	97.1%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (.f32 x (.f32 (PI.f32) tau))) x)
	97.3%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) x) (.f32 x (.f32 (PI.f32) tau)))
▶	97.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
	96.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (pow.f32 (.f32 x (sqrt.f32 (.f32 (PI.f32) tau))) #s(literal 2 binary32))) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))))
	60.7%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
	52.3%	(/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) x))) #s(literal 1 binary32)) (.f32 x (PI.f32)))
	60.6%	(/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (/.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
	52.4%	(/.f32 (.f32 x (PI.f32)) (-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) x))) #s(literal 1 binary32)))
✓	59.9%	(/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))
	52.4%	(/.f32 (.f32 x (PI.f32)) (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (PI.f32) x)))))
	96.8%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 (PI.f32) (.f32 tau (pow.f32 x #s(literal 2 binary32)))) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	96.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) (.f32 (PI.f32) (/.f32 tau (sin.f32 (.f32 tau (.f32 x (PI.f32))))))))
✓	60.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	96.1%	(/.f32 (sin.f32 (.f32 tau (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)))) (.f32 (/.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
	96.0%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 x (pow.f32 (.f32 (sqrt.f32 tau) (PI.f32)) #s(literal 2 binary32))) (sin.f32 (.f32 x (PI.f32)))) x))
▶	95.8%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 x (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) tau)) #s(literal 3 binary32)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
✓	96.6%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
	96.2%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 x (.f32 (exp.f32 (log.f32 (.f32 (PI.f32) tau))) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
	96.7%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))) x))
	67.4%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) tau) x))
	59.0%	(/.f32 (exp.f32 (log.f32 (.f32 (PI.f32) x))) (.f32 x (PI.f32)))
	60.7%	(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))))
	96.7%	(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))))) #s(literal 1 binary32))
	97.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (cbrt.f32 (pow.f32 tau #s(literal -2 binary32)))) (cbrt.f32 tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))))
✓	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) 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 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) x))) #s(literal 2 binary32)) (sqrt.f32 (.f32 (PI.f32) x))) (/.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) x))) (sqrt.f32 (.f32 (PI.f32) x)))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
	83.6%	(.f32 (/.f32 (sin.f32 (.f32 (-.f32 (fma.f32 (PI.f32) x #s(literal 1 binary32)) #s(literal 1 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	83.3%	(.f32 (/.f32 (sin.f32 (.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (PI.f32) x #s(literal 1 binary32)) #s(literal 3 binary32)) (+.f32 (pow.f32 (fma.f32 (PI.f32) x #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 (PI.f32) x #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (.f32 x (PI.f32))))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
	67.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (expm1.f32 (log1p.f32 (.f32 tau (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	60.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	97.1%	(.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)))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 tau (pow.f32 x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) x)) (sin.f32 (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	60.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
▶	60.6%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	97.2%	(.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))))
	97.2%	(.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau (pow.f32 x #s(literal 2 binary32))))) (PI.f32)) (sqrt.f32 (sin.f32 (.f32 x (PI.f32))))) (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))))
	83.1%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #s(literal 1 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	83.5%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.6%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))
	97.0%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (.f32 x (PI.f32))))))
	83.5%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 x (PI.f32))))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
	67.4%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
▶	96.8%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))
	96.7%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (cbrt.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (cbrt.f32 (.f32 (PI.f32) x)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))

Compiler

Compiled 3009 to 1807 computations (39.9% saved)

localize582.0ms (3.5%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	98.8%	(/.f32 (.f32 x (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) tau)) #s(literal 3 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32))))
	98.8%	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
✓	98.7%	(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) tau)) #s(literal 3 binary32)) (PI.f32))
✓	97.6%	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) tau)) #s(literal 3 binary32))
	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
	98.8%	(.f32 (PI.f32) (.f32 x tau))
	98.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))
✓	98.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
	98.9%	(*.f32 (PI.f32) x)
	98.9%	(*.f32 x (PI.f32))
✓	97.6%	(pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))
✓	96.4%	(pow.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal 1/3 binary32))
✓	99.0%	(sin.f32 (*.f32 (PI.f32) x))
✓	98.9%	(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
	98.9%	(*.f32 (PI.f32) x)
✓	98.7%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	98.9%	(*.f32 (PI.f32) x)
✓	98.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
	98.8%	(.f32 (PI.f32) (.f32 x tau))

Compiler

Compiled 337 to 91 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

Operation ival-pow, time spent: 56.0ms, 34.0% of total-time

Operation ival-mult, time spent: 52.0ms, 31.0% of total-time

Operation ival-div, time spent: 29.0ms, 17.0% of total-time

Operation ival-sin, time spent: 20.0ms, 12.0% of total-time

Operation const, time spent: 4.0ms, 2.0% of total-time

Operation ival-pi, time spent: 3.0ms, 2.0% of total-time

Operation ival-cbrt, time spent: 2.0ms, 1.0% of total-time

series34.0ms (0.2%)

Counts

10 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
9.0ms	tau	@	-inf	(* (pow (cbrt (* (PI) tau)) 3) (PI))
2.0ms	tau	@	-inf	(pow (cbrt (* (PI) tau)) 3)
2.0ms	x	@	-inf	(/ (sin (* (PI) x)) (PI))
2.0ms	x	@	0	(pow (pow (* (PI) x) 3) 1/3)
2.0ms	x	@	-inf	(pow (pow (* (PI) x) 3) 1/3)

rewrite257.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

417×	`log1p-expm1-u`
270×	`times-frac`
263×	`associate-r`
226×	`expm1-log1p-u`
222×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	307
1	598	301
2	7971	301

Stop Event

1×	node limit

Counts

10 → 394

Calls

Call 1

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

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

simplify303.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

489×	`associate-*r/`
439×	`associate-/l*`
404×	`associate-/r*`
393×	`associate-*l/`
312×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	916	23615
1	2392	23111
2	6678	23107

Stop Event

1×	node limit

Counts

538 → 474

Calls

Call 1

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

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

eval497.0ms (3%)

Compiler: Compiled 39969 to 15321 computations (61.7% saved)

prune344.0ms (2.1%)

Pruning

89 alts after pruning (79 fresh and 10 done)

	Pruned	Kept	Total
New	1462	35	1497
Fresh	10	44	54
Picked	1	4	5
Done	3	6	9
Total	1476	89	1565

Accuracy

99.7%

Counts

1565 → 89

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
	52.3%	(/.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (.f32 x (PI.f32)))
	53.4%	(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (PI.f32)) #s(literal -1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (.f32 x (PI.f32)))
✓	58.8%	(/.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (.f32 x (PI.f32)))
	97.1%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (.f32 x (.f32 (PI.f32) tau))) x)
	97.3%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) x) (.f32 x (.f32 (PI.f32) tau)))
	83.4%	(/.f32 (/.f32 (.f32 (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	67.7%	(/.f32 (/.f32 (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	96.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 x tau))) #s(literal 3 binary32)))
✓	97.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) x)) (expm1.f32 (log1p.f32 (.f32 tau (*.f32 x (PI.f32))))))
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
	96.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (pow.f32 (.f32 x (sqrt.f32 (.f32 (PI.f32) tau))) #s(literal 2 binary32))) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))
	60.6%	(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
	60.6%	(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
	59.7%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)) (*.f32 x (PI.f32)))
	60.7%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
	60.5%	(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))
	52.3%	(/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) x))) #s(literal 1 binary32)) (.f32 x (PI.f32)))
	60.6%	(/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (/.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
	52.4%	(/.f32 (.f32 x (PI.f32)) (-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) x))) #s(literal 1 binary32)))
	96.8%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 (PI.f32) (.f32 tau (pow.f32 x #s(literal 2 binary32)))) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	96.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (pow.f32 x #s(literal 2 binary32))) (.f32 (PI.f32) (/.f32 tau (sin.f32 (.f32 tau (.f32 x (PI.f32))))))))
✓	60.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	96.1%	(/.f32 (sin.f32 (.f32 tau (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)))) (.f32 (/.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
	96.0%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 x (pow.f32 (.f32 (sqrt.f32 tau) (PI.f32)) #s(literal 2 binary32))) (sin.f32 (.f32 x (PI.f32)))) x))
✓	95.8%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 x (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) tau)) #s(literal 3 binary32)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
	95.8%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 x (.f32 (.f32 (pow.f32 (cbrt.f32 tau) #s(literal 2 binary32)) (.f32 (cbrt.f32 tau) (PI.f32))) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) x))
✓	96.6%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
	96.2%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 x (.f32 (exp.f32 (log.f32 (.f32 (PI.f32) tau))) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x))
	95.9%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 x (.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (.f32 x (.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (*.f32 (PI.f32) x)))) x))
	96.9%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))) x))
	96.7%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))) x))
	67.4%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) tau) x))
	60.7%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))
	60.6%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)))
	60.6%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))))
	60.6%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) x))) x))
	97.2%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 x tau)) (/.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))))
	60.7%	(/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 x (PI.f32))))))
	96.7%	(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))))) #s(literal 1 binary32))
	97.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) x) tau))
	97.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) tau) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (PI.f32)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (cbrt.f32 (pow.f32 tau #s(literal -2 binary32)))) (cbrt.f32 tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))))
✓	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) 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 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) x))) #s(literal 2 binary32)) (sqrt.f32 (.f32 (PI.f32) x))) (/.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) x))) (sqrt.f32 (.f32 (PI.f32) x)))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 2 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
	83.6%	(.f32 (/.f32 (sin.f32 (.f32 (-.f32 (fma.f32 (PI.f32) x #s(literal 1 binary32)) #s(literal 1 binary32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	83.3%	(.f32 (/.f32 (sin.f32 (.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (PI.f32) x #s(literal 1 binary32)) #s(literal 3 binary32)) (+.f32 (pow.f32 (fma.f32 (PI.f32) x #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 (PI.f32) x #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
	67.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) x)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (.f32 x tau)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (PI.f32) (.f32 x tau))))
	60.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	97.1%	(.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)))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 tau (pow.f32 x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) x)) (sin.f32 (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	60.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
	97.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) x))))
	59.7%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (PI.f32)))
	53.0%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #s(literal 1 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32)))) (PI.f32)))
	53.0%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32))) (PI.f32)))
	54.1%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 x (PI.f32)) #s(literal -1 binary32)))) (PI.f32)))
✓	60.6%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	59.8%	(*.f32 (/.f32 #s(literal 1 binary32) x) x)
	97.2%	(.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))))
	97.2%	(.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau (pow.f32 x #s(literal 2 binary32))))) (PI.f32)) (sqrt.f32 (sin.f32 (.f32 x (PI.f32))))) (sqrt.f32 (sin.f32 (.f32 x (PI.f32)))))
	83.1%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
	97.0%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (.f32 x (PI.f32))))))
	67.4%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	83.7%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))))
	67.3%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	96.7%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (cbrt.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (cbrt.f32 (.f32 (PI.f32) x)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.6%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 x (PI.f32)))))
	97.1%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	59.9%	#s(literal 1 binary32)

Compiler

Compiled 4730 to 1960 computations (58.6% saved)

regimes310.0ms (1.9%)

Counts

130 → 1

Calls

Call 1

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

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

Calls

4 calls:

86.0ms	tau
71.0ms	x
68.0ms	(*.f32 x (PI.f32))
65.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes281.0ms (1.7%)

Counts

119 → 1

Calls

Call 1

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

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

Calls

4 calls:

80.0ms	x
71.0ms	tau
64.0ms	(*.f32 x (PI.f32))
60.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes105.0ms (0.6%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	(*.f32 x (PI.f32))
36.0ms	tau
28.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes321.0ms (1.9%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

3 calls:

210.0ms	x
86.0ms	tau
22.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
67.7%	1	`x`
67.7%	1	`tau`
67.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes38.0ms (0.2%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.4%	1	`x`
67.4%	1	`tau`
67.4%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes34.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.7%	1	`tau`
60.7%	1	`x`
60.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes28.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
9.0ms	tau
9.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
60.7%	1	`tau`
60.7%	1	`x`
60.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes15.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.7%)

Threshold costs -0.1b (-0.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary32)

Calls

3 calls:

6.0ms	tau
5.0ms	(*.f32 x (PI.f32))
4.0ms	x

Results

Accuracy	Segments	Branch
59.9%	1	`tau`
59.9%	1	`x`
59.9%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative`
3×	`1-exp`
1×	`*-rgt-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	458
1	57	458

Stop Event

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

Compiler

Compiled 126 to 67 computations (46.8% saved)

soundness2.0s (12%)

Rules

992×	`fma-define`
890×	`log1p-expm1-u`
788×	`times-frac`
489×	`associate-*r/`
445×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	907	25728
1	2388	25263
2	7370	25259
0	38	663
1	112	663
2	494	631
3	2565	631
4	5282	631
5	7342	631
0	1088	40594
1	3084	38844
2	6537	38844
0	916	23615
1	2392	23111
2	6678	23107
0	40	412
1	746	412
0	35	307
1	598	301
2	7971	301
0	32	717
1	616	662
2	6785	662

Stop Event

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

Compiler

Compiled 1349 to 317 computations (76.5% saved)

end0.0ms (0%)

preprocess70.0ms (0.4%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1242 to 510 computations (58.9% saved)

analyze1.0ms (0%)

sample3.0s (18.4%)

preprocess625.0ms (3.8%)

eval1.0ms (0%)

prune6.0ms (0%)

localize461.0ms (2.8%)

series100.0ms (0.6%)

rewrite462.0ms (2.8%)

simplify389.0ms (2.4%)

eval176.0ms (1.1%)

prune185.0ms (1.1%)

localize1.3s (8.1%)

series25.0ms (0.2%)

rewrite172.0ms (1%)

simplify537.0ms (3.3%)

eval510.0ms (3.1%)

prune671.0ms (4.1%)

localize1.2s (7.4%)

series27.0ms (0.2%)

rewrite250.0ms (1.5%)

simplify320.0ms (1.9%)

eval438.0ms (2.7%)

prune328.0ms (2%)

localize582.0ms (3.5%)

series34.0ms (0.2%)

rewrite257.0ms (1.6%)

simplify303.0ms (1.8%)

eval497.0ms (3%)

prune344.0ms (2.1%)

regimes310.0ms (1.9%)

regimes281.0ms (1.7%)

regimes105.0ms (0.6%)

regimes321.0ms (1.9%)

regimes38.0ms (0.2%)

regimes34.0ms (0.2%)

regimes28.0ms (0.2%)

regimes15.0ms (0.1%)

simplify7.0ms (0%)

soundness2.0s (12%)

end0.0ms (0%)

preprocess70.0ms (0.4%)

Profiling