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

sample2.7s (22.6%)

Results

2.5s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

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

Operation ival-mult, time spent: 589.0ms, 42.0% of total-time

Operation ival-sin, time spent: 378.0ms, 27.0% of total-time

Operation ival-<=, time spent: 165.0ms, 12.0% of total-time

Operation ival-div, time spent: 132.0ms, 9.0% of total-time

Operation ival-pi, time spent: 96.0ms, 7.0% of total-time

Operation ival-and, time spent: 29.0ms, 2.0% of total-time

Operation const, time spent: 21.0ms, 1.0% of total-time

Bogosity

preprocess339.0ms (2.8%)

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

Example	Example	Subexpression
-	-	`x`
-	-	`tau`
-	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
-	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
-	-	`(sin.f32 (*.f32 x (PI.f32)))`
-	-	`(*.f32 x (PI.f32))`
-	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
-	-	`(PI.f32)`
-	-	`(.f32 (.f32 x (PI.f32)) tau)`
-	-	`(sin.f32 (.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: 55.0ms

Operation ival-mult, time spent: 21.0ms, 38.0% of total-time

Operation ival-sin, time spent: 21.0ms, 38.0% of total-time

Operation ival-div, time spent: 7.0ms, 13.0% of total-time

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

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

eval1.0ms (0%)

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

prune6.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))
▶	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
▶	97.8%	(.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)))))
▶	97.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))

Compiler

Compiled 230 to 112 computations (51.3% saved)

localize433.0ms (3.6%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.0%	(*.f32 x (PI.f32))
✓	98.8%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	98.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	98.4%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	98.9%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (*.f32 (PI.f32) tau))))
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.7%	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
✓	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)))
✓	99.0%	(*.f32 (PI.f32) tau)
✓	99.0%	(*.f32 x (PI.f32))
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	99.0%	(*.f32 x (PI.f32))
✓	98.9%	(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
✓	99.0%	(.f32 (PI.f32) (.f32 x tau))
✓	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	98.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	98.4%	(/.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: 71.0ms

Operation ival-mult, time spent: 35.0ms, 49.0% of total-time

Operation ival-sin, time spent: 19.0ms, 27.0% of total-time

Operation ival-div, time spent: 14.0ms, 20.0% 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

series74.0ms (0.6%)

Counts

20 → 336

Calls

Call 1

Inputs
#<alt (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))>
#<alt (sin.f32 (.f32 (PI.f32) (.f32 x tau)))>
#<alt (.f32 (PI.f32) (.f32 x 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 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))>
#<alt (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))>
#<alt (*.f32 x (PI.f32))>
#<alt (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))>
#<alt (sin.f32 (.f32 x (.f32 (PI.f32) tau)))>
#<alt (*.f32 x (PI.f32))>
#<alt (*.f32 (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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))>
#<alt (sin.f32 (.f32 x (.f32 (PI.f32) tau)))>
#<alt (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (*.f32 (PI.f32) tau))))>
#<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 x (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))>
#<alt (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))>
#<alt (.f32 tau (.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 #s(literal 1 binary32) x)>
#<alt (/.f32 (+.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)))))) x)>
#<alt (/.f32 (+.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)))))))) x)>
#<alt (/.f32 (+.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))))))))) x)>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) x)>
#<alt (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) x))>
#<alt (+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (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 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (/.f32 #s(literal 1 binary32) x))>
#<alt (+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (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 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) (/.f32 #s(literal 1 binary32) x))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))>
#<alt (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (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
10.0ms	tau	@	0	(/ (sin (* (PI) (* x tau))) (* (PI) (* x tau)))
5.0ms	tau	@	inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))
2.0ms	x	@	-inf	(/ (sin (* x (PI))) (* x (PI)))
2.0ms	x	@	0	(sin (* x (* (PI) tau)))
2.0ms	x	@	inf	(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* (PI) (* x (* x (* (PI) tau))))))

rewrite419.0ms (3.5%)

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	751
1	616	704
2	6785	704

Stop Event

1×	node limit

Counts

20 → 685

Calls

Call 1

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

simplify544.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

605×	`associate-/r*`
517×	`associate-/l*`
381×	`fma-define`
346×	`associate-*r/`
334×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	927	57315
1	2466	54939
2	6939	54939

Stop Event

1×	node limit

Counts

1021 → 504

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

eval214.0ms (1.8%)

Compiler: Compiled 22790 to 6138 computations (73.1% saved)

prune232.0ms (1.9%)

Pruning

45 alts after pruning (41 fresh and 4 done)

	Pruned	Kept	Total
New	812	41	853
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	813	45	858

Accuracy

99.9%

Counts

858 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.7%	(fma.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) x)
▶	97.9%	(/.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)))
	97.3%	(/.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))))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 (PI.f32) x))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32))))
	97.1%	(/.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))))) (PI.f32))
▶	61.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	96.9%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
	97.1%	(/.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)))))))
	97.0%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) x))) (.f32 (pow.f32 x #s(literal 2 binary32)) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))))
	96.8%	(-.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))
	61.4%	(.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) #s(literal 3 binary32)))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (expm1.f32 (log1p.f32 (*.f32 (PI.f32) x)))))
	97.4%	(.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)))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (exp.f32 (log.f32 (.f32 (PI.f32) x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) #s(literal 2 binary32)))
✓	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	97.4%	(.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 (.f32 (PI.f32) tau)))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))))))
	68.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) x)
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 x (exp.f32 (log.f32 (.f32 (PI.f32) tau))))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	61.5%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	97.5%	(.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	97.5%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.2%	(.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))))
	97.3%	(.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 #s(literal 1 binary32) (.f32 x (neg.f32 (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	96.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	97.8%	(.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)))))
	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))))
	96.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (pow.f32 (cbrt.f32 (.f32 (PI.f32) tau)) #s(literal 3 binary32)))))))
✓	97.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))))))
	46.8%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	97.4%	(.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))))
	96.7%	(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 2052 to 1199 computations (41.6% saved)

localize594.0ms (5%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
	99.0%	(*.f32 x (PI.f32))
✓	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	97.8%	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32))
✓	99.6%	(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))
✓	98.8%	(.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))))
✓	98.6%	(*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
✓	96.9%	(pow.f32 (PI.f32) #s(literal 2 binary32))
	99.0%	(.f32 (PI.f32) (.f32 x tau))
	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
	98.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	98.5%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))
✓	99.2%	(sin.f32 (*.f32 x (PI.f32)))
	99.0%	(*.f32 x (PI.f32))
	98.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	98.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	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)))
✓	98.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 (PI.f32) x))

Compiler

Compiled 324 to 96 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

Operation ival-mult, time spent: 42.0ms, 28.0% of total-time

Operation ival-pow, time spent: 34.0ms, 23.0% of total-time

Operation ival-sin, time spent: 32.0ms, 21.0% of total-time

Operation ival-div, time spent: 19.0ms, 13.0% of total-time

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

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

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

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

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

series73.0ms (0.6%)

Counts

12 → 208

Calls

Call 1

Inputs
#<alt (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 (PI.f32) x))>
#<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 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))>
#<alt (pow.f32 (PI.f32) #s(literal 2 binary32))>
#<alt (*.f32 (+.f32 (pow.f32 tau #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))>
#<alt (.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))))>
#<alt (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))>
#<alt (pow.f32 (cbrt.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32))>
#<alt (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))>
#<alt (sin.f32 (.f32 x (.f32 (PI.f32) tau)))>

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

Calls

54 calls:

Time	Variable		Point	Expression
37.0ms	tau	@	-inf	(/ (* (sin (* (PI) x)) (sin (* (PI) (* x tau)))) (* (PI) x))
4.0ms	x	@	-inf	(* (sin (* x (* (PI) tau))) (/ (sin (pow (cbrt (* (PI) x)) 3)) (* (* x (* (PI) tau)) (* x (PI)))))
3.0ms	x	@	-inf	(pow (cbrt (* (PI) x)) 3)
1.0ms	x	@	-inf	(/ (* (sin (* (PI) x)) (sin (* (PI) (* x tau)))) (* (PI) x))
1.0ms	x	@	0	(/ (* (sin (* (PI) x)) (sin (* (PI) (* x tau)))) (* (PI) x))

rewrite149.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

391×	`times-frac`
273×	`log1p-expm1-u`
273×	`expm1-log1p-u`
268×	`add-exp-log`
268×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	519
1	747	501

Stop Event

1×	node limit

Counts

12 → 363

Calls

Call 1

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

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

simplify299.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-define`
615×	`associate-*r/`
460×	`associate-*l/`
362×	`*-commutative`
262×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1137	38142
1	3369	36401

Stop Event

1×	node limit

Counts

571 → 558

Calls

Call 1

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

eval418.0ms (3.5%)

Compiler: Compiled 33480 to 11626 computations (65.3% saved)

prune244.0ms (2%)

Pruning

54 alts after pruning (47 fresh and 7 done)

	Pruned	Kept	Total
New	1218	32	1250
Fresh	21	15	36
Picked	2	3	5
Done	0	4	4
Total	1241	54	1295

Accuracy

100.0%

Counts

1295 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
	96.7%	(/.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 3 binary32)) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	71.0%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau)))
▶	71.0%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (+.f32 (.f32 tau x) x)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	71.1%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (.f32 x tau)))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (PI.f32) (.f32 x tau))))))) (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau)))
	97.4%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (PI.f32)) (*.f32 x tau))
✓	97.9%	(/.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)))
▶	97.8%	(/.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 (PI.f32) (*.f32 x tau)))))
	97.4%	(/.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	97.7%	(/.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau)))
	97.1%	(/.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))))) (PI.f32))
	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 x tau)))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) x))))
	60.6%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	61.5%	(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
✓	61.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	97.1%	(/.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)))))))
	96.8%	(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) x))))))) #s(literal 1 binary32))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 x tau)))
▶	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 (PI.f32) tau)))
	97.2%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
	97.2%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (*.f32 x tau)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) #s(literal 3 binary32)))
✓	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))))
	97.4%	(.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)))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (exp.f32 (log.f32 (.f32 (PI.f32) x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
	61.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) #s(literal 2 binary32)))
✓	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	97.4%	(.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 (.f32 (PI.f32) tau)))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))))))
	68.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) x)
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	61.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
	97.2%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 x tau)))
	61.5%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	97.5%	(.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	68.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	94.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 1/6 binary32)) #s(literal 6 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	97.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32)))))
✓	96.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	94.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 1/6 binary32)) #s(literal 3 binary32)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	97.8%	(.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)))))
	96.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (pow.f32 (cbrt.f32 (.f32 (PI.f32) tau)) #s(literal 3 binary32)))))))
✓	97.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))))))
	46.8%	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) tau) (pow.f32 x #s(literal 2 binary32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	96.6%	(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 x (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) x))))))))
	91.4%	(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) x)))))))
▶	60.7%	#s(literal 1 binary32)

Compiler

Compiled 2363 to 1363 computations (42.3% saved)

localize692.0ms (5.8%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
	98.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	98.8%	(/.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 (PI.f32) (*.f32 x tau)))))
	98.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 (PI.f32) x))
✓	98.8%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (+.f32 (.f32 tau x) x)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
✓	98.7%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (+.f32 (.f32 tau x) x)))) #s(literal 2 binary32)) (*.f32 (PI.f32) x))
✓	97.9%	(-.f32 (*.f32 tau x) x)
✓	72.3%	(-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (+.f32 (.f32 tau x) x))))
	99.0%	(.f32 (PI.f32) (.f32 x tau))
	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	98.7%	(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
✓	98.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 (PI.f32) tau))
	99.0%	(.f32 (PI.f32) (.f32 x tau))
✓	98.9%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) x))
	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	98.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau))))

Compiler

Compiled 383 to 51 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

Operation ival-mult, time spent: 68.0ms, 47.0% of total-time

Operation ival-div, time spent: 23.0ms, 16.0% of total-time

Operation composed, time spent: 14.0ms, 10.0% of total-time

Operation ival-sin, time spent: 10.0ms, 7.0% of total-time

Operation ival-cos, time spent: 9.0ms, 6.0% of total-time

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

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

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

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

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

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

series64.0ms (0.5%)

Counts

9 → 201

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
9.0ms	tau	@	0	(- (cos (* (PI) (- (* tau x) x))) (cos (* (PI) (+ (* tau x) x))))
9.0ms	x	@	-inf	(/ (sin (* (PI) (* x tau))) (* (PI) x))
7.0ms	tau	@	inf	(/ (/ (/ (- (cos (* (PI) (- (* tau x) x))) (cos (* (PI) (+ (* tau x) x)))) 2) (* (PI) x)) (* (PI) (* x tau)))
2.0ms	x	@	0	(/ (/ (/ (- (cos (* (PI) (- (* tau x) x))) (cos (* (PI) (+ (* tau x) x)))) 2) (* (PI) x)) (* (PI) (* x tau)))
2.0ms	tau	@	-inf	(/ (/ (/ (- (cos (* (PI) (- (* tau x) x))) (cos (* (PI) (+ (* tau x) x)))) 2) (* (PI) x)) (* (PI) (* x tau)))

rewrite148.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	596
1	742	596

Stop Event

1×	node limit

Counts

9 → 239

Calls

Call 1

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

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

simplify343.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

609×	`associate-/r*`
600×	`fma-define`
447×	`associate-/l*`
312×	`*-commutative`
230×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	975	34914
1	2882	33296

Stop Event

1×	node limit

Counts

440 → 452

Calls

Call 1

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

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

eval741.0ms (6.2%)

Compiler: Compiled 41789 to 14404 computations (65.5% saved)

prune222.0ms (1.9%)

Pruning

52 alts after pruning (42 fresh and 10 done)

	Pruned	Kept	Total
New	1221	11	1232
Fresh	11	31	42
Picked	1	4	5
Done	1	6	7
Total	1234	52	1286

Accuracy

100.0%

Counts

1286 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
	96.7%	(/.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 3 binary32)) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	71.1%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (.f32 (PI.f32) (+.f32 (.f32 tau x) x)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	71.1%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (.f32 x tau)))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (PI.f32) (.f32 x tau))))))) (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau)))
	97.4%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (PI.f32)) (*.f32 x tau))
✓	97.9%	(/.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)))
✓	97.8%	(/.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 (PI.f32) (*.f32 x tau)))))
	97.4%	(/.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 x tau)))
	71.0%	(/.f32 (.f32 (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 x tau) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau)))
	97.7%	(/.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau)))
	97.1%	(/.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))))) (PI.f32))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) x))))
▶	60.6%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	61.5%	(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
✓	61.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	71.1%	(/.f32 (expm1.f32 (log1p.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 x (PI.f32))) #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 x tau)))
	97.1%	(/.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)))))))
	97.3%	(-.f32 (exp.f32 (log1p.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (.f32 x tau)))))) #s(literal 1 binary32))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 x tau)))
	96.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) tau) x))) #s(literal 3 binary32)))
✓	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 (PI.f32) tau)))
	97.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) tau) x)))) #s(literal 1 binary32)))
▶	97.2%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
	97.2%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (*.f32 x tau)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) #s(literal 3 binary32)))
✓	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))))
	97.4%	(.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)))))
✓	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
	61.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) #s(literal 2 binary32)))
	97.4%	(.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 (.f32 (PI.f32) tau)))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))))))
	68.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) x)
▶	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	68.4%	(.f32 (/.f32 x x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (PI.f32) tau)))
	61.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
	97.2%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 x tau)))
	61.5%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	68.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
▶	97.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32)))))
✓	96.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	97.8%	(.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)))))
✓	97.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
▶	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))))))
	61.4%	(.f32 tau (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau))))
	91.4%	(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) x)))))))
✓	60.7%	#s(literal 1 binary32)

Compiler

Compiled 2166 to 1260 computations (41.8% saved)

localize606.0ms (5.1%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	98.9%	(.f32 (PI.f32) (.f32 x (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))))
	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))))))
✓	98.0%	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) tau)))
	99.0%	(.f32 (PI.f32) (.f32 x tau))
	98.8%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
	98.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	98.5%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
	99.0%	(.f32 (PI.f32) (.f32 x tau))
✓	98.9%	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))
✓	98.8%	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
✓	98.7%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau))))
✓	99.1%	(.f32 tau (.f32 x (PI.f32)))
	99.0%	(*.f32 x (PI.f32))
	99.0%	(.f32 (PI.f32) (.f32 x tau))
	99.0%	(*.f32 (PI.f32) tau)
	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	98.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32)))))
	97.8%	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) x)) #s(literal 3 binary32))

Compiler

Compiled 394 to 76 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

Operation ival-mult, time spent: 52.0ms, 29.0% of total-time

Operation ival-sin, time spent: 38.0ms, 21.0% of total-time

Operation ival-pow, time spent: 31.0ms, 17.0% of total-time

Operation ival-div, time spent: 21.0ms, 12.0% of total-time

Operation composed, time spent: 15.0ms, 8.0% of total-time

Operation ival-log, time spent: 6.0ms, 3.0% of total-time

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

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

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

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

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

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

series26.0ms (0.2%)

Counts

9 → 180

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* tau (* x (PI)))
2.0ms	x	@	-inf	(* (sin (* x (* (PI) tau))) (/ (sin (pow (cbrt (* (PI) x)) 3)) (* (* x (* (PI) tau)) (pow (cbrt (* (PI) x)) 3))))
0.0ms	x	@	0	(* (sin (* x (* (PI) tau))) (/ (sin (pow (cbrt (* (PI) x)) 3)) (* (* x (* (PI) tau)) (pow (cbrt (* (PI) x)) 3))))
0.0ms	tau	@	0	(* (sin (* x (* (PI) tau))) (/ (sin (pow (cbrt (* (PI) x)) 3)) (* (* x (* (PI) tau)) (pow (cbrt (* (PI) x)) 3))))
0.0ms	x	@	0	(* (/ (* (sin (* (PI) x)) (sin (* (PI) (* x tau)))) (* (PI) tau)) (/ (/ 1 (* (PI) x)) x))

rewrite164.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

341×	`associate-r`
341×	`times-frac`
250×	`log1p-expm1-u`
249×	`expm1-log1p-u`
245×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	494
1	876	439

Stop Event

1×	node limit

Counts

9 → 487

Calls

Call 1

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

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

simplify584.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-/r*`
571×	`associate-/l*`
527×	`*-commutative`
366×	`div-sub`
326×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	706	47892
1	2132	45096
2	6970	45048

Stop Event

1×	node limit

Counts

667 → 317

Calls

Call 1

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

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

eval318.0ms (2.7%)

Compiler: Compiled 27505 to 9475 computations (65.6% saved)

prune230.0ms (1.9%)

Pruning

61 alts after pruning (50 fresh and 11 done)

	Pruned	Kept	Total
New	947	17	964
Fresh	4	33	37
Picked	3	2	5
Done	1	9	10
Total	955	61	1016

Accuracy

100.0%

Counts

1016 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
	60.2%	(/.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (.f32 (PI.f32) (.f32 x tau)))
	96.7%	(/.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 3 binary32)) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	71.1%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (.f32 (PI.f32) (+.f32 (.f32 tau x) x)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	97.4%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (PI.f32)) (*.f32 x tau))
✓	97.9%	(/.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)))
✓	97.8%	(/.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 (PI.f32) (*.f32 x tau)))))
	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (.f32 (.f32 x (PI.f32)) (/.f32 tau (sin.f32 (.f32 x (PI.f32))))) (PI.f32)))
	54.3%	(/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 x tau)))
	97.4%	(/.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (*.f32 x tau))
	97.4%	(/.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 x tau)))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 x tau)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.7%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
	71.0%	(/.f32 (.f32 (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 x tau) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau)))
	97.1%	(/.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))))) (PI.f32))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) x))))
	60.1%	(/.f32 (.f32 tau (pow.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal 1/3 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	53.4%	(/.f32 (.f32 tau (-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) x))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
✓	60.6%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	61.5%	(/.f32 (.f32 tau (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	53.2%	(/.f32 (.f32 tau (log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (PI.f32) x))))) (.f32 (PI.f32) (.f32 x tau)))
✓	61.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	71.1%	(/.f32 (expm1.f32 (log1p.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 x (PI.f32))) #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 x tau)))
	97.1%	(/.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)))))))
	97.3%	(-.f32 (exp.f32 (log1p.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (.f32 x tau)))))) #s(literal 1 binary32))
	71.2%	(.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))) (cos.f32 (+.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
	71.0%	(.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #s(literal 2 binary32)) (.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) x))
	71.0%	(.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (+.f32 (.f32 tau x) x)))) #s(literal 2 binary32)) (.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 x tau)))
	96.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) tau) x))) #s(literal 3 binary32)))
✓	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 (PI.f32) tau)))
	97.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) tau) x)))) #s(literal 1 binary32)))
	60.6%	(.f32 (/.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
	61.4%	(.f32 (/.f32 (.f32 tau (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) #s(literal 3 binary32)))
✓	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))))
	97.4%	(.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)))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
	61.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	97.4%	(.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 (.f32 (PI.f32) tau)))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))))))
	68.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) x)
✓	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (expm1.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 x tau))))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	68.4%	(.f32 (/.f32 x x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (PI.f32) tau)))
	61.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
	97.2%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 x tau)))
	61.5%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	68.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
✓	96.8%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32))) (.f32 (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32)))))
	96.4%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) x)) #s(literal 3 binary32))) (.f32 (PI.f32) (.f32 x (.f32 x (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))))))
✓	97.8%	(.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)))))
✓	97.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	61.4%	(.f32 tau (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau))))
	91.4%	(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) x)))))))
✓	60.7%	#s(literal 1 binary32)

Compiler

Compiled 3682 to 1374 computations (62.7% saved)

regimes229.0ms (1.9%)

Counts

106 → 1

Calls

Call 1

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

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:

58.0ms	(*.f32 x (PI.f32))
58.0ms	tau
56.0ms	x
53.0ms	(.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)

regimes51.0ms (0.4%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes40.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

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)

regimes39.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.4%	1	`x`
68.4%	1	`tau`
68.4%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes19.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(*.f32 x (PI.f32))
6.0ms	x
5.0ms	tau

Results

Accuracy	Segments	Branch
61.6%	1	`x`
61.6%	1	`(*.f32 x (PI.f32))`
61.6%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
3.0ms	(*.f32 x (PI.f32))
3.0ms	tau

Results

Accuracy	Segments	Branch
61.6%	1	`tau`
61.6%	1	`x`
61.6%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary32)

Calls

2 calls:

2.0ms	x
2.0ms	tau

Results

Accuracy	Segments	Branch
60.7%	1	`x`
60.7%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	409
1	56	409

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Compiler

Compiled 112 to 62 computations (44.6% saved)

soundness604.0ms (5.1%)

Rules

992×	`fma-define`
890×	`log1p-expm1-u`
417×	`associate-l`
391×	`times-frac`
382×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	519
1	747	501
0	32	751
1	616	704
2	6785	704
0	38	663
1	112	663
2	494	631
3	2565	631
4	5282	631
5	7342	631

Stop Event

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

Compiler

Compiled 858 to 177 computations (79.4% saved)

end0.0ms (0%)

preprocess57.0ms (0.5%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 982 to 430 computations (56.2% saved)

analyze1.0ms (0%)

sample2.7s (22.6%)

preprocess339.0ms (2.8%)

eval1.0ms (0%)

prune6.0ms (0.1%)

localize433.0ms (3.6%)

series74.0ms (0.6%)

rewrite419.0ms (3.5%)

simplify544.0ms (4.6%)

eval214.0ms (1.8%)

prune232.0ms (1.9%)

localize594.0ms (5%)

series73.0ms (0.6%)

rewrite149.0ms (1.2%)

simplify299.0ms (2.5%)

eval418.0ms (3.5%)

prune244.0ms (2%)

localize692.0ms (5.8%)

series64.0ms (0.5%)

rewrite148.0ms (1.2%)

simplify343.0ms (2.9%)

eval741.0ms (6.2%)

prune222.0ms (1.9%)

localize606.0ms (5.1%)

series26.0ms (0.2%)

rewrite164.0ms (1.4%)

simplify584.0ms (4.9%)

eval318.0ms (2.7%)

prune230.0ms (1.9%)

regimes229.0ms (1.9%)

regimes51.0ms (0.4%)

regimes40.0ms (0.3%)

regimes39.0ms (0.3%)

regimes19.0ms (0.2%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

simplify8.0ms (0.1%)

soundness604.0ms (5.1%)

end0.0ms (0%)

preprocess57.0ms (0.5%)

Profiling