Metrics for Lanczos kernel

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions

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

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

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

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

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

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

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

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

sample3.5s (25.3%)

Results

3.3s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

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

Operation ival-sin, time spent: 513.0ms, 31.0% of total-time

Operation ival-pi, time spent: 449.0ms, 27.0% of total-time

Operation ival-mult, time spent: 344.0ms, 21.0% of total-time

Operation ival-div, time spent: 154.0ms, 9.0% of total-time

Operation ival-<=, time spent: 146.0ms, 9.0% of total-time

Operation ival-and, time spent: 34.0ms, 2.0% of total-time

Operation const, time spent: 22.0ms, 1.0% of total-time

Bogosity

preprocess353.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.9883013367652893 1.740739107131958)	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`x`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) (neg.f32 tau))) (.f32 (.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) (neg.f32 x)))) (.f32 tau (.f32 (PI.f32) (neg.f32 x)))) (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (neg.f32 x))) (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 (neg.f32 x) tau))) (.f32 (PI.f32) (.f32 (neg.f32 x) tau))) (sin.f32 (.f32 (PI.f32) (neg.f32 x)))) (neg.f32 (*.f32 (PI.f32) (neg.f32 x))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) (neg.f32 x))) (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (neg.f32 x))) (.f32 x (*.f32 (PI.f32) tau))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) (neg.f32 tau))) (.f32 (.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) (neg.f32 x)))) (.f32 tau (.f32 (PI.f32) (neg.f32 x)))) (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (neg.f32 x))) (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 (neg.f32 x) tau))) (.f32 (PI.f32) (.f32 (neg.f32 x) tau))) (sin.f32 (.f32 (PI.f32) (neg.f32 x)))) (neg.f32 (*.f32 (PI.f32) (neg.f32 x))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) (neg.f32 x))) (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (neg.f32 x))) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (PI.f32))) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) tau)) (*.f32 (PI.f32) tau)))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) tau)) (.f32 (PI.f32) tau)) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) tau)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) tau))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 tau tau))))))

Symmetry

(abs x)

(abs tau)

Compiler

Compiled 153 to 38 computations (75.2% saved)

Precisions

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

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

Operation ival-sin, time spent: 21.0ms, 35.0% of total-time

Operation ival-div, time spent: 7.0ms, 12.0% of total-time

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
▶	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))

Compiler

Compiled 92 to 44 computations (52.2% saved)

localize362.0ms (2.6%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.0%	(*.f32 x (PI.f32))
✓	99.0%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	98.5%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	99.0%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	98.5%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
✓	98.9%	(*.f32 (PI.f32) tau)
✓	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
✓	98.9%	(.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))
✓	98.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	98.9%	(*.f32 (PI.f32) tau)
✓	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
✓	98.8%	(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
✓	98.6%	(.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 273 to 33 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

Operation ival-mult, time spent: 35.0ms, 53.0% of total-time

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

Operation ival-div, time spent: 8.0ms, 12.0% of total-time

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

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

series53.0ms (0.4%)

Counts

16 → 296

Calls

Call 1

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

81 calls:

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

rewrite419.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`log1p-expm1-u`
458×	`associate-r`
406×	`times-frac`
299×	`expm1-log1p-u`
296×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	647
1	536	581
2	5529	581

Stop Event

1×	node limit

Counts

16 → 504

Calls

Call 1

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

simplify304.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1436×	`associate-r`
1394×	`times-frac`
1172×	`associate-l`
824×	`*-commutative`
750×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	773	41029
1	1998	38721

Stop Event

1×	node limit

Counts

800 → 402

Calls

Call 1

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

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

eval194.0ms (1.4%)

Compiler: Compiled 18053 to 4980 computations (72.4% saved)

prune169.0ms (1.2%)

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	638	38	676
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	639	41	680

Accuracy

99.9%

Counts

680 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(pow.f32 (cbrt.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal 3 binary32))
	97.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
▶	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
▶	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
	65.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	80.5%	(.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 3 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 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 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
▶	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
▶	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (exp.f32 (log.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.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))))
	97.4%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.7%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.5%	(.f32 (sin.f32 (.f32 x (pow.f32 (sqrt.f32 (.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (/.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))) (pow.f32 (/.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32)))
	71.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) tau))
	71.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
	96.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	97.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (exp.f32 (log.f32 (.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 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	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 (expm1.f32 (log1p.f32 (.f32 (PI.f32) tau))))))))
	71.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	97.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
	96.9%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	56.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))))
	97.5%	(.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))))
	92.8%	(.f32 (exp.f32 (log.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))))
▶	64.4%	#s(literal 1 binary32)

Compiler

Compiled 1805 to 1023 computations (43.3% saved)

localize491.0ms (3.5%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.0%	(sin.f32 (.f32 (exp.f32 (log.f32 (.f32 x (PI.f32)))) tau))
	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	98.5%	(/.f32 (sin.f32 (.f32 (exp.f32 (log.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	97.0%	(exp.f32 (log.f32 (*.f32 x (PI.f32))))
✓	99.0%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	98.9%	(/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))
✓	98.6%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
✓	98.5%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
	99.0%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	98.7%	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
✓	98.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
✓	98.9%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	98.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))

Compiler

Compiled 311 to 50 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

Operation ival-mult, time spent: 34.0ms, 33.0% of total-time

Operation ival-div, time spent: 27.0ms, 26.0% of total-time

Operation ival-sin, time spent: 21.0ms, 20.0% of total-time

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

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

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

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

series81.0ms (0.6%)

Counts

12 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
52.0ms	x	@	inf	(* (/ (sin (* x (PI))) (* (PI) (* x tau))) (sin (* (PI) (* x tau))))
1.0ms	x	@	-inf	(* (/ (sin (* x (PI))) (* (PI) (* x tau))) (sin (* (PI) (* x tau))))
1.0ms	x	@	0	(* (/ (sin (* x (PI))) (* (PI) (* x tau))) (sin (* (PI) (* x tau))))
1.0ms	tau	@	-inf	(* (/ (sin (* x (PI))) (* (PI) (* x tau))) (sin (* (PI) (* x tau))))
1.0ms	x	@	-inf	(/ (sin (* x (PI))) (* (PI) (* x tau)))

rewrite221.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`times-frac`
492×	`associate-r`
356×	`associate-l`
258×	`associate-/r*`
252×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	542
1	591	530

Stop Event

1×	node limit

Counts

12 → 574

Calls

Call 1

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

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

simplify856.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1086×	`associate-/l*`
1076×	`fma-define`
722×	`*-commutative`
668×	`cube-prod`
566×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1128	54894
1	3132	53286
2	6758	53264

Stop Event

1×	node limit

Counts

826 → 653

Calls

Call 1

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

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

eval289.0ms (2.1%)

Compiler: Compiled 29328 to 8660 computations (70.5% saved)

prune224.0ms (1.6%)

Pruning

43 alts after pruning (38 fresh and 5 done)

	Pruned	Kept	Total
New	973	20	993
Fresh	15	18	33
Picked	2	3	5
Done	1	2	3
Total	991	43	1034

Accuracy

99.9%

Counts

1034 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x tau)) (PI.f32)) (.f32 x (PI.f32)))
	67.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32))) (.f32 x (PI.f32)))
	67.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 x (.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)))) (.f32 x (PI.f32)))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))) tau) (.f32 x (PI.f32)))
	97.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
✓	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 x (PI.f32)))))) (.f32 x (PI.f32)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
	71.5%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32)))
	97.3%	(/.f32 (.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
	97.4%	(/.f32 (.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) (.f32 (PI.f32) tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32)))
▶	97.9%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 x (PI.f32)))
▶	65.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	80.5%	(.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	84.6%	(.f32 (/.f32 (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	65.0%	(.f32 (/.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
▶	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (/.f32 (cbrt.f32 (PI.f32)) (pow.f32 x #s(literal -1/2 binary32))) (pow.f32 x #s(literal -1/2 binary32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (exp.f32 (log.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
✓	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (exp.f32 (log.f32 (.f32 x (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.9%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.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))))
	97.7%	(.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))))
	97.1%	(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
	96.5%	(.f32 (sin.f32 (.f32 x (pow.f32 (sqrt.f32 (.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (/.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))) (pow.f32 (/.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32)))
	71.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) tau))
	71.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
	96.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	97.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	71.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	56.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))))
▶	97.5%	(.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))))
✓	64.4%	#s(literal 1 binary32)

Compiler

Compiled 1905 to 1097 computations (42.4% saved)

localize520.0ms (3.7%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
	98.9%	(.f32 (PI.f32) (.f32 x tau))
	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	98.5%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
✓	98.4%	(log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))))
✓	99.0%	(sin.f32 (*.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau))
✓	99.0%	(/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))
	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	98.5%	(/.f32 (sin.f32 (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau)) (.f32 (*.f32 x (PI.f32)) tau))
	99.0%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
	98.9%	(.f32 (PI.f32) (.f32 x tau))
	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	98.5%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32))))
✓	99.2%	(sin.f32 (*.f32 x (PI.f32)))
	99.0%	(*.f32 x (PI.f32))
	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	99.0%	(sin.f32 (.f32 (.f32 x tau) (PI.f32)))
✓	98.9%	(.f32 (.f32 x tau) (PI.f32))
✓	98.8%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 x (PI.f32)))
✓	98.5%	(/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))

Compiler

Compiled 342 to 56 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

Operation ival-mult, time spent: 36.0ms, 32.0% of total-time

Operation ival-div, time spent: 33.0ms, 29.0% of total-time

Operation ival-sin, time spent: 31.0ms, 27.0% of total-time

Operation ival-exp, time spent: 5.0ms, 4.0% of total-time

Operation ival-log, time spent: 5.0ms, 4.0% of total-time

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

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

series16.0ms (0.1%)

Counts

10 → 208

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Expression
3.0ms	x	@	(sin (* x (PI)))
0.0ms	tau	@	(/ (* (sin (* x (PI))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI)))) (* x (PI)))
0.0ms	x	@	(/ (* (sin (* x (PI))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI)))) (* x (PI)))
0.0ms	x	@	(sin (* (* x tau) (PI)))
0.0ms	x	@	(/ (sin (* (* x tau) (PI))) (* (* x tau) (PI)))

rewrite223.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`log1p-expm1-u`
568×	`times-frac`
368×	`associate-r`
266×	`associate-l`
232×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	398
1	555	381
2	6681	381

Stop Event

1×	node limit

Counts

10 → 450

Calls

Call 1

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

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

simplify391.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1778×	`times-frac`
908×	`*-commutative`
882×	`fma-define`
806×	`associate-*r/`
768×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	746	36571
1	1964	35646
2	7872	35646

Stop Event

1×	node limit

Counts

658 → 373

Calls

Call 1

Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 x (PI.f32))))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
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(pow.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))))
(exp.f32 (log.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))) #s(literal 1 binary32))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 tau (PI.f32)))))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (*.f32 tau (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (*.f32 tau (PI.f32)))) #s(literal 1 binary32))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (*.f32 tau (PI.f32)))))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32))) (.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32))))))
(.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (*.f32 tau (PI.f32)))) #s(literal 2 binary32))))
(.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (*.f32 tau (PI.f32))))))
(.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (*.f32 tau (PI.f32)))))
(.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32))))))
(.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sqrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (*.f32 tau (PI.f32))))))
(.f32 (neg.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 x (neg.f32 (*.f32 tau (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (*.f32 tau (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x tau)))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (*.f32 tau (PI.f32)))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (*.f32 tau (PI.f32)))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) tau) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (cbrt.f32 (.f32 x (*.f32 tau (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 x (.f32 tau (PI.f32))))) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sqrt.f32 (.f32 x (*.f32 tau (PI.f32))))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32))) x) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32))) tau) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (PI.f32))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32))) (.f32 x tau)) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (PI.f32)))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32))) (.f32 x (PI.f32))) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) tau))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (*.f32 tau (PI.f32))))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32))) (sqrt.f32 (.f32 x (.f32 tau (PI.f32))))) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (sqrt.f32 (.f32 x (*.f32 tau (PI.f32))))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) x) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x tau)) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (PI.f32)))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (PI.f32)) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x tau)))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (cbrt.f32 (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (cbrt.f32 (.f32 x (*.f32 tau (PI.f32))))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32))) (PI.f32)) (/.f32 (cbrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x tau)))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) tau))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 x (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x tau) (/.f32 (sin.f32 (.f32 x (*.f32 tau (PI.f32)))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 x (*.f32 tau (PI.f32)))) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 x (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32))))))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (neg.f32 (.f32 tau (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (*.f32 x tau))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x (PI.f32))) tau)
(/.f32 (neg.f32 (neg.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) (neg.f32 (.f32 x (neg.f32 (.f32 tau (PI.f32))))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32))) (neg.f32 (*.f32 x tau)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau)) (*.f32 x (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x (PI.f32)))) (neg.f32 tau))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 1 binary32)) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sqrt.f32 (.f32 x (.f32 tau (PI.f32))))) (sqrt.f32 (.f32 x (.f32 tau (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (cbrt.f32 (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 2 binary32)))) (cbrt.f32 (.f32 x (.f32 tau (PI.f32)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau)) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x tau)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) tau) x)
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) #s(literal 1 binary32)) (*.f32 x tau))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (cbrt.f32 (pow.f32 (.f32 x tau) #s(literal 2 binary32)))) (cbrt.f32 (.f32 x tau)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (sqrt.f32 (.f32 x tau))) (sqrt.f32 (.f32 x tau)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (PI.f32)) x)
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) #s(literal 1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (cbrt.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (sqrt.f32 (.f32 x (PI.f32)))) (sqrt.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x (PI.f32))) #s(literal 1 binary32)) tau)
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x (PI.f32))) (pow.f32 (cbrt.f32 tau) #s(literal 2 binary32))) (cbrt.f32 tau))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x (PI.f32))) (sqrt.f32 tau)) (sqrt.f32 tau))
(pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(literal 2 binary32))
(pow.f32 (.f32 x (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (neg.f32 (.f32 tau (PI.f32))))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (.f32 x (.f32 tau (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (*.f32 tau (PI.f32))))) #s(literal 1 binary32)))

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

eval533.0ms (3.8%)

Compiler: Compiled 52173 to 14752 computations (71.7% saved)

prune360.0ms (2.6%)

Pruning

51 alts after pruning (43 fresh and 8 done)

	Pruned	Kept	Total
New	1924	19	1943
Fresh	9	24	33
Picked	1	4	5
Done	1	4	5
Total	1935	51	1986

Accuracy

99.9%

Counts

1986 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.5%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
	97.4%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x tau)) (PI.f32)) (.f32 x (PI.f32)))
▶	67.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32))) (.f32 x (PI.f32)))
	67.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 x (.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)))) (.f32 x (PI.f32)))
	97.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
✓	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 x (PI.f32)))))) (.f32 x (PI.f32)))
▶	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
	71.5%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32)))
	97.3%	(/.f32 (.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
	97.4%	(/.f32 (.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) (.f32 (PI.f32) tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32)))
	71.7%	(/.f32 (.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 x (PI.f32)))
	97.1%	(/.f32 (.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 x (PI.f32)))
	84.5%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) #s(literal 1 binary32)) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 x (PI.f32)))
✓	97.9%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 x (PI.f32)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))) #s(literal 1 binary32))) (*.f32 x (PI.f32)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (PI.f32))))) (*.f32 x (PI.f32)))
	82.2%	(/.f32 (.f32 (log.f32 (exp.f32 (sin.f32 (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 x (PI.f32)))
	65.5%	(/.f32 (.f32 x (+.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (.f32 x (PI.f32)))
✓	65.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	65.5%	(+.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)))))
	97.5%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (PI.f32)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	65.1%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
▶	71.6%	(.f32 (/.f32 (sin.f32 (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))))
✓	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (/.f32 (cbrt.f32 (PI.f32)) (pow.f32 x #s(literal -1/2 binary32))) (pow.f32 x #s(literal -1/2 binary32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	71.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
	65.2%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	65.1%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	97.7%	(.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))))
	97.1%	(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x tau) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
	96.5%	(.f32 (sin.f32 (.f32 x (pow.f32 (sqrt.f32 (.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (/.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))) (pow.f32 (/.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32)))
	71.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) tau))
	71.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
	96.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	97.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	71.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	56.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))))
	65.1%	(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
	96.8%	(.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))) (pow.f32 (sqrt.f32 (*.f32 x (PI.f32))) #s(literal 2 binary32))))
✓	97.5%	(.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))))
✓	64.4%	#s(literal 1 binary32)

Compiler

Compiled 2077 to 1230 computations (40.8% saved)

localize950.0ms (6.8%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	98.9%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32)))
✓	98.9%	(.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
✓	98.8%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32))) (.f32 x (PI.f32)))
✓	68.5%	(-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))))
✓	98.9%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 tau (PI.f32))))
	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	98.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
	99.0%	(*.f32 x (PI.f32))
✓	99.0%	(sin.f32 (*.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau))
	99.0%	(/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))
✓	98.5%	(/.f32 (sin.f32 (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau)) (.f32 (*.f32 x (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))) (PI.f32))
✓	98.6%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
✓	99.0%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
	98.9%	(*.f32 (PI.f32) tau)
✓	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))
✓	98.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau))))

Compiler

Compiled 385 to 119 computations (69.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

Operation ival-mult, time spent: 62.0ms, 30.0% of total-time

Operation ival-div, time spent: 48.0ms, 23.0% of total-time

Operation ival-cos, time spent: 38.0ms, 18.0% of total-time

Operation ival-sin, time spent: 35.0ms, 17.0% of total-time

Operation ival-sub, time spent: 12.0ms, 6.0% of total-time

Operation ival-add, time spent: 8.0ms, 4.0% of total-time

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

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

series60.0ms (0.4%)

Counts

14 → 304

Calls

Call 1

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

Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/36 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))>
#<alt (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))>
#<alt (+.f32 (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 x (PI.f32))))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal 1 binary32) tau)>
#<alt (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) tau)) (/.f32 #s(literal 1 binary32) tau))>
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#<alt (.f32 tau (+.f32 (.f32 x (PI.f32)) (/.f32 (*.f32 x (PI.f32)) tau)))>
#<alt (.f32 tau (.f32 x (PI.f32)))>
#<alt (.f32 #s(literal -1 binary32) (.f32 tau (+.f32 (.f32 #s(literal -1 binary32) (.f32 x (PI.f32))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 x (PI.f32)) tau)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 tau (+.f32 (.f32 #s(literal -1 binary32) (.f32 x (PI.f32))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 x (PI.f32)) tau)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 tau (+.f32 (.f32 #s(literal -1 binary32) (.f32 x (PI.f32))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 x (PI.f32)) tau)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) tau) #s(literal 2 binary32)))) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) tau) #s(literal 2 binary32)))))) (*.f32 tau (PI.f32))))>
#<alt (.f32 x (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/24 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) tau) #s(literal 4 binary32))) tau)) (.f32 #s(literal 1/24 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) tau) #s(literal 4 binary32))) tau))))) (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) tau) #s(literal 2 binary32)))) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) tau) #s(literal 2 binary32))))) (*.f32 tau (PI.f32))))))>
#<alt (.f32 x (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) tau) #s(literal 2 binary32)))) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) tau) #s(literal 2 binary32))))) (.f32 tau (PI.f32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1/720 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) tau) #s(literal 6 binary32))) tau)) (.f32 #s(literal -1/720 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) tau) #s(literal 6 binary32))) tau))))) (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/24 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) tau) #s(literal 4 binary32))) tau)) (.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) tau) #s(literal 4 binary32))) tau))))))))>
#<alt (.f32 x (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) tau) #s(literal 2 binary32)))) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) tau) #s(literal 2 binary32))))) (.f32 tau (PI.f32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/24 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) tau) #s(literal 4 binary32))) tau)) (.f32 #s(literal 1/24 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) tau) #s(literal 4 binary32))) tau)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/40320 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) tau) #s(literal 8 binary32))) tau)) (.f32 #s(literal 1/40320 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) tau) #s(literal 8 binary32))) tau))))) (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal -1/720 binary32) (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) tau) #s(literal 6 binary32))) tau)) (.f32 #s(literal -1/720 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) tau) #s(literal 6 binary32))) tau))))))))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 #s(literal -1 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (*.f32 x (PI.f32))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (.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 1/6 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 1/2 binary32) (/.f32 (-.f32 (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 #s(literal -1 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (*.f32 x (PI.f32)))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 #s(literal -1 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (.f32 x (PI.f32)))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/120 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 #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 #s(literal 1/2 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 1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 #s(literal -1 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (.f32 x (PI.f32)))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/2 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 1/6 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 1/2 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1/5040 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 1/5040 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 1/2 binary32) (-.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 #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 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) tau))))) (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) tau)))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) tau))))) (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) tau)))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) tau))))) (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) tau)))))) (.f32 tau (*.f32 x (PI.f32)))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) tau))))) (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) tau)))))) (.f32 tau (*.f32 x (PI.f32)))))>

Calls

78 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(- (cos (* (* x (PI)) (- 1 tau))) (cos (* (* x (PI)) (+ 1 tau))))
4.0ms	tau	@	0	(- (cos (* (* x (PI)) (- 1 tau))) (cos (* (* x (PI)) (+ 1 tau))))
4.0ms	tau	@	inf	(/ (- (cos (* (* x (PI)) (- 1 tau))) (cos (* (* x (PI)) (+ 1 tau)))) (* (* x (* (PI) tau)) 2))
2.0ms	x	@	0	(/ (/ (- (cos (* (* x (PI)) (- 1 tau))) (cos (* (* x (PI)) (+ 1 tau)))) (* (* x (* (PI) tau)) 2)) (* x (PI)))
2.0ms	x	@	0	(/ (- (cos (* (* x (PI)) (- 1 tau))) (cos (* (* x (PI)) (+ 1 tau)))) (* (* x (* (PI) tau)) 2))

rewrite151.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

349×	`log1p-expm1-u`
349×	`expm1-log1p-u`
347×	`add-exp-log`
347×	`add-cube-cbrt`
346×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	807
1	909	801

Stop Event

1×	node limit

Counts

14 → 268

Calls

Call 1

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

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

simplify309.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1710×	`fma-define`
1460×	`times-frac`
720×	`*-commutative`
634×	`distribute-rgt-in`
634×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1015	42434
1	2924	40033

Stop Event

1×	node limit

Counts

572 → 466

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

eval454.0ms (3.3%)

Compiler: Compiled 32804 to 14206 computations (56.7% saved)

prune249.0ms (1.8%)

Pruning

63 alts after pruning (50 fresh and 13 done)

	Pruned	Kept	Total
New	1042	20	1062
Fresh	8	30	38
Picked	0	5	5
Done	0	8	8
Total	1050	63	1113

Accuracy

99.9%

Counts

1113 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.5%	(fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
	97.4%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x tau)) (PI.f32)) (.f32 x (PI.f32)))
	67.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (+.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32))) (*.f32 x (PI.f32)))
✓	67.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32))) (.f32 x (PI.f32)))
	66.4%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (log.f32 (pow.f32 (exp.f32 x) (PI.f32))))
	67.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 x (.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)))) (.f32 x (PI.f32)))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))) x) (PI.f32))
✓	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	96.0%	(/.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (sin.f32 (/.f32 (-.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau))) (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32))) (sin.f32 (/.f32 (fma.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)) (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32))))) (.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32))) (*.f32 x (PI.f32)))
	65.1%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
	65.6%	(/.f32 (-.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 2 binary32))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 2 binary32)))) (*.f32 x (PI.f32)))
	71.6%	(/.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 x (PI.f32))) #s(literal 2 binary32))) (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
✓	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
	82.2%	(/.f32 (.f32 (/.f32 (log.f32 (exp.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
	65.0%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 x (PI.f32)))) (PI.f32))
	71.5%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32)))
	97.3%	(/.f32 (.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
	97.4%	(/.f32 (.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) (.f32 (PI.f32) tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (PI.f32)))
	71.7%	(/.f32 (.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 x (PI.f32)))
✓	97.9%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 x (PI.f32)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))) #s(literal 1 binary32))) (*.f32 x (PI.f32)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (PI.f32))))) (*.f32 x (PI.f32)))
	65.5%	(/.f32 (.f32 x (+.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (.f32 x (PI.f32)))
✓	65.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	65.5%	(+.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)))))
	97.5%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (PI.f32)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	65.1%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
✓	71.6%	(.f32 (/.f32 (sin.f32 (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))))
✓	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (/.f32 (cbrt.f32 (PI.f32)) (pow.f32 x #s(literal -1/2 binary32))) (pow.f32 x #s(literal -1/2 binary32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	71.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	71.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	71.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	71.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (.f32 x (*.f32 (PI.f32) tau))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau))))
	71.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
	65.2%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	71.7%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (/.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	64.4%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (PI.f32)) (PI.f32)))
✓	65.1%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	65.1%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	65.2%	(.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))))
	64.4%	(*.f32 (/.f32 #s(literal 1 binary32) x) x)
	97.7%	(.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))))
	96.5%	(.f32 (sin.f32 (.f32 x (pow.f32 (sqrt.f32 (.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (/.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))) (pow.f32 (/.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32)))
	71.5%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) tau))
	71.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x tau)))
	96.3%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 x (PI.f32))) #s(literal 3 binary32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
✓	97.7%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32)))))
	71.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
	56.6%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))))
	65.1%	(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (neg.f32 x))))
✓	97.5%	(.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))))
✓	64.4%	#s(literal 1 binary32)

Compiler

Compiled 3482 to 1379 computations (60.4% saved)

regimes119.0ms (0.9%)

Counts

101 → 1

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	(*.f32 x (PI.f32))
29.0ms	tau
27.0ms	x
27.0ms	(.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)

regimes63.0ms (0.5%)

Counts

45 → 1

Calls

Call 1

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

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:

20.0ms	(*.f32 x (PI.f32))
14.0ms	x
13.0ms	tau
13.0ms	(.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 x (PI.f32))`
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))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes39.0ms (0.3%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes35.0ms (0.3%)

Counts

34 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes30.0ms (0.2%)

Counts

30 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`tau`
97.1%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes31.0ms (0.2%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	tau
10.0ms	(*.f32 x (PI.f32))
8.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes23.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes25.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.6%	1	`x`
71.6%	1	`(*.f32 x (PI.f32))`
71.6%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.6%	1	`x`
71.6%	1	`(*.f32 x (PI.f32))`
71.6%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.6%	1	`x`
71.6%	1	`(*.f32 x (PI.f32))`
71.6%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	tau

Results

Accuracy	Segments	Branch
64.4%	1	`tau`
64.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

2 calls:

1.0ms	tau
1.0ms	x

Results

Accuracy	Segments	Branch
64.4%	1	`x`
64.4%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	873
1	79	873

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 235 to 122 computations (48.1% saved)

soundness1.7s (11.9%)

Rules

1984×	`fma-define`
1710×	`fma-define`
1460×	`times-frac`
1436×	`associate-r`
1394×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	663
1	112	663
2	494	631
3	2565	631
4	5282	631
5	7342	631
0	45	807
1	909	801
0	773	41029
1	1998	38721
0	29	647
1	536	581
2	5529	581
0	31	398
1	555	381
2	6681	381
0	33	542
1	591	530
0	1015	42434
1	2924	40033

Stop Event

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

Compiler

Compiled 1763 to 464 computations (73.7% saved)

end0.0ms (0%)

preprocess93.0ms (0.7%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1756 to 734 computations (58.2% saved)

analyze1.0ms (0%)

sample3.5s (25.3%)

preprocess353.0ms (2.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize362.0ms (2.6%)

series53.0ms (0.4%)

rewrite419.0ms (3%)

simplify304.0ms (2.2%)

eval194.0ms (1.4%)

prune169.0ms (1.2%)

localize491.0ms (3.5%)

series81.0ms (0.6%)

rewrite221.0ms (1.6%)

simplify856.0ms (6.1%)

eval289.0ms (2.1%)

prune224.0ms (1.6%)

localize520.0ms (3.7%)

series16.0ms (0.1%)

rewrite223.0ms (1.6%)

simplify391.0ms (2.8%)

eval533.0ms (3.8%)

prune360.0ms (2.6%)

localize950.0ms (6.8%)

series60.0ms (0.4%)

rewrite151.0ms (1.1%)

simplify309.0ms (2.2%)

eval454.0ms (3.3%)

prune249.0ms (1.8%)

regimes119.0ms (0.9%)

regimes63.0ms (0.5%)

regimes39.0ms (0.3%)

regimes35.0ms (0.3%)

regimes30.0ms (0.2%)

regimes31.0ms (0.2%)

regimes23.0ms (0.2%)

regimes25.0ms (0.2%)

regimes18.0ms (0.1%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

regimes5.0ms (0%)

regimes2.0ms (0%)

simplify10.0ms (0.1%)

soundness1.7s (11.9%)

end0.0ms (0%)

preprocess93.0ms (0.7%)

Profiling