Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze22.0ms (0.2%)

Memory

-24.6MiB live, 19.6MiB allocated; 10ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample916.0ms (10.1%)

Memory

37.0MiB live, 1 038.6MiB allocated; 248ms collecting garbage

Samples

686.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 508.0ms

ival-mult!: 164.0ms (32.3% of total)

ival-sin: 140.0ms (27.6% of total)

ival-sinu: 122.0ms (24% of total)

ival-div!: 79.0ms (15.6% of total)

adjust: 2.0ms (0.4% of total)

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

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

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

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

Bogosity

preprocess69.0ms (0.8%)

Memory

-32.9MiB live, 56.5MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	136
1	156	128
2	1235	116
3	6712	116

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.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))))

Symmetry

(abs x)

(abs tau)

Compiler

Compiled 34 to 20 computations (41.2% saved)

series172.0ms (1.9%)

Memory

20.0MiB live, 115.6MiB allocated; 55ms collecting garbage

Counts

10 → 33

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	x	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	x	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite862.0ms (9.5%)

Memory

34.8MiB live, 649.1MiB allocated; 129ms collecting garbage

Counts

10 → 310

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

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

eval24.0ms (0.3%)

Memory: 3.7MiB live, 48.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 153 to 1 059 computations (79.4% saved)

prune24.0ms (0.3%)

Memory

3.4MiB live, 48.1MiB allocated; 5ms collecting garbage

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	301	32	333
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	32	334

Accuracy

99.7%

Counts

334 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau))
	96.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
	68.2%	(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
	96.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (sin.f32 (*.f32 x (PI.f32)))) x)
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) x))
	68.2%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))) #s(literal 2 binary32))
	96.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
	97.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 tau (PI.f32))))
▶	81.6%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) x))
	78.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))))
	79.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 x (PI.f32))))
	77.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 x (PI.f32))))
	83.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (+.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)))))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau)))
▶	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
▶	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))))
	82.1%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	79.8%	(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.6%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	61.9%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
▶	61.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 244 to 876 computations (29.6% saved)

series355.0ms (3.9%)

Memory

-15.5MiB live, 358.7MiB allocated; 74ms collecting garbage

Counts

28 → 90

Calls

Call 1

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

Outputs
#s(approx (* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (+.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))))))))))))
#s(approx (* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (+.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))) (fma.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))))))))))))))))
#s(approx (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (+.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)))))))
#s(approx (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (+.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)))))))))
#s(approx (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (+.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))))))))))
#s(approx (sin (* (* tau (PI)) x)) (.f32 tau (.f32 x (PI.f32))))
#s(approx (sin (* (* tau (PI)) x)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 tau (PI.f32)))))
#s(approx (sin (* (* tau (PI)) x)) (.f32 x (fma.f32 tau (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (sin (* (* tau (PI)) x)) (.f32 x (fma.f32 tau (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 7 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.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))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (.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)))))))
#s(approx (sin (* x (PI))) (.f32 x (+.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
#s(approx (sin (* x (PI))) (.f32 x (+.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (*.f32 tau x)))
#s(approx (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (/.f32 (fma.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)) x))
#s(approx (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (/.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.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)) x))
#s(approx (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (/.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) tau) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.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)) x))
#s(approx (* (* x (PI)) (* tau x)) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))
#s(approx (* tau x) (*.f32 tau x))
#s(approx (/ (sin (* (* x (PI)) tau)) (PI)) (.f32 x (+.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (PI)) (.f32 x (+.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (PI)) (.f32 x (+.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 7 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) x) (/.f32 (+.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))))) x))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) x) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) x))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) x) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) x))
#s(approx (/ (sin (* (* x (PI)) tau)) (* tau (PI))) (.f32 x (+.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))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* tau (PI))) (.f32 x (+.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))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* tau (PI))) (.f32 x (+.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)))))))))))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 x (cos.f32 (PI.f32))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (PI.f32)))) x))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 x (fma.f32 #s(literal -1 binary32) (cos.f32 (PI.f32)) (.f32 x (fma.f32 #s(literal -1/2 binary32) (.f32 tau (.f32 (PI.f32) (sin.f32 (PI.f32)))) (.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (PI.f32) (sin.f32 (PI.f32))) tau))))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (PI.f32)))) x))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 x (fma.f32 #s(literal -1 binary32) (cos.f32 (PI.f32)) (.f32 x (fma.f32 #s(literal -1/2 binary32) (.f32 tau (.f32 (PI.f32) (sin.f32 (PI.f32)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (PI.f32) (sin.f32 (PI.f32))) tau) (.f32 x (fma.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (cos.f32 (PI.f32)))) (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (cos.f32 (PI.f32)))))))))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (PI.f32)))) x))
#s(approx (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 x (fma.f32 #s(literal -1 binary32) (cos.f32 (PI.f32)) (.f32 #s(literal -1/2 binary32) (.f32 tau (.f32 x (.f32 (PI.f32) (sin.f32 (PI.f32))))))) (/.f32 (sin.f32 (PI.f32)) (*.f32 tau (PI.f32)))) x))
#s(approx (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 x (fma.f32 #s(literal -1 binary32) (cos.f32 (PI.f32)) (.f32 x (fma.f32 #s(literal -1/2 binary32) (.f32 tau (.f32 (PI.f32) (sin.f32 (PI.f32)))) (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (cos.f32 (PI.f32))))))))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (PI.f32)))) x))
#s(approx (sin (+ (* (* x (PI)) (neg tau)) (PI))) (sin.f32 (PI.f32)))
#s(approx (sin (+ (* (* x (PI)) (neg tau)) (PI))) (+.f32 (sin.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 tau (.f32 x (.f32 (PI.f32) (cos.f32 (PI.f32))))))))
#s(approx (sin (+ (* (* x (PI)) (neg tau)) (PI))) (+.f32 (sin.f32 (PI.f32)) (.f32 x (fma.f32 #s(literal -1 binary32) (.f32 tau (.f32 (PI.f32) (cos.f32 (PI.f32)))) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (PI.f32))))))))))
#s(approx (sin (+ (* (* x (PI)) (neg tau)) (PI))) (+.f32 (sin.f32 (PI.f32)) (.f32 x (fma.f32 #s(literal -1 binary32) (.f32 tau (.f32 (PI.f32) (cos.f32 (PI.f32)))) (.f32 x (fma.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (PI.f32)))) (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 x (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (cos.f32 (PI.f32))))))))))))
#s(approx (+ (* (* x (PI)) (neg tau)) (PI)) (PI.f32))
#s(approx (+ (* (* x (PI)) (neg tau)) (PI)) (+.f32 (PI.f32) (.f32 #s(literal -1 binary32) (.f32 tau (*.f32 x (PI.f32))))))
#s(approx (* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))))
#s(approx (sin (* (* tau (PI)) x)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 x (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)))))
#s(approx (/ (sin (* (* x (PI)) tau)) (PI)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* tau (PI))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (+.f32 (PI.f32) (.f32 #s(literal -1 binary32) (.f32 tau (.f32 x (PI.f32))))))) (.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/.f32 (sin.f32 (+.f32 (PI.f32) (.f32 #s(literal -1 binary32) (.f32 tau (.f32 x (PI.f32)))))) (.f32 tau (*.f32 x (PI.f32)))))
#s(approx (sin (+ (* (* x (PI)) (neg tau)) (PI))) (sin.f32 (+.f32 (PI.f32) (.f32 #s(literal -1 binary32) (.f32 tau (*.f32 x (PI.f32)))))))
#s(approx (+ (* (* x (PI)) (neg tau)) (PI)) (.f32 #s(literal -1 binary32) (.f32 tau (*.f32 x (PI.f32)))))
#s(approx (+ (* (* x (PI)) (neg tau)) (PI)) (.f32 x (fma.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)) (/.f32 (PI.f32) x))))
#s(approx (+ (* (* x (PI)) (neg tau)) (PI)) (.f32 #s(literal -1 binary32) (.f32 x (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) x) (*.f32 tau (PI.f32))))))
#s(approx (* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
#s(approx (* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 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)))))
#s(approx (* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 x (PI.f32)))))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 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)))))
#s(approx (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 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))))))))))
#s(approx (sin (* (* tau (PI)) x)) (.f32 tau (fma.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)))))
#s(approx (sin (* (* tau (PI)) x)) (.f32 tau (fma.f32 x (PI.f32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.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))))))))))
#s(approx (sin (* (* tau (PI)) x)) (.f32 tau (fma.f32 x (PI.f32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.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)) (fma.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)))))))))))
#s(approx (* tau (PI)) (*.f32 tau (PI.f32)))
#s(approx tau tau)
#s(approx (/ (sin (* (* x (PI)) tau)) (PI)) (.f32 tau (+.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (PI)) (.f32 tau (+.f32 x (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (PI)) (.f32 tau (+.f32 x (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* tau (PI))) (+.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* tau (PI))) (+.f32 x (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* tau (PI))) (+.f32 x (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 tau (.f32 (cos.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32))) (/.f32 (.f32 (sin.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) tau))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 tau (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (cos.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 #s(literal -1/2 binary32) (.f32 tau (.f32 (sin.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (.f32 (sin.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) tau))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 tau (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (cos.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (fma.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 #s(literal 1/6 binary32) (.f32 tau (.f32 x (.f32 (PI.f32) (.f32 (cos.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))))))) (/.f32 (.f32 (sin.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) tau))
#s(approx (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 tau (cos.f32 (PI.f32))) (/.f32 (sin.f32 (PI.f32)) (.f32 x (PI.f32)))) tau))
#s(approx (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 tau (fma.f32 #s(literal -1 binary32) (cos.f32 (PI.f32)) (.f32 #s(literal -1/2 binary32) (.f32 tau (.f32 x (.f32 (PI.f32) (sin.f32 (PI.f32))))))) (/.f32 (sin.f32 (PI.f32)) (*.f32 x (PI.f32)))) tau))
#s(approx (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 tau (fma.f32 #s(literal -1 binary32) (cos.f32 (PI.f32)) (.f32 tau (fma.f32 #s(literal -1/2 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (PI.f32)))) (.f32 #s(literal 1/6 binary32) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (cos.f32 (PI.f32))))))))) (/.f32 (sin.f32 (PI.f32)) (.f32 x (PI.f32)))) tau))
#s(approx (sin (+ (* (* x (PI)) (neg tau)) (PI))) (+.f32 (sin.f32 (PI.f32)) (.f32 tau (fma.f32 #s(literal -1 binary32) (.f32 x (.f32 (PI.f32) (cos.f32 (PI.f32)))) (.f32 #s(literal -1/2 binary32) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (PI.f32))))))))))
#s(approx (sin (+ (* (* x (PI)) (neg tau)) (PI))) (+.f32 (sin.f32 (PI.f32)) (.f32 tau (fma.f32 #s(literal -1 binary32) (.f32 x (.f32 (PI.f32) (cos.f32 (PI.f32)))) (.f32 tau (fma.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (PI.f32)))) (.f32 #s(literal 1/6 binary32) (.f32 tau (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (cos.f32 (PI.f32))))))))))))
#s(approx (neg tau) (*.f32 #s(literal -1 binary32) tau))
#s(approx (+ (* (* x (PI)) (neg tau)) (PI)) (.f32 tau (fma.f32 #s(literal -1 binary32) (.f32 x (PI.f32)) (/.f32 (PI.f32) tau))))
#s(approx (+ (* (* x (PI)) (neg tau)) (PI)) (.f32 #s(literal -1 binary32) (.f32 tau (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) tau) (*.f32 x (PI.f32))))))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	tau	@	inf	((* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) tau (PI) x (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (* (* x (PI)) (* tau x)) (* tau x) (/ (sin (* (* x (PI)) tau)) (PI)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* (* x (PI)) tau)) (* tau (PI)))) (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* (* x (PI)) tau)) (* tau (PI))) (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (* x (PI)) (neg tau)) (PI))) (+ (* (* x (PI)) (neg tau)) (PI)) (neg tau))
11.0ms	x	@	0	((* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) tau (PI) x (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (* (* x (PI)) (* tau x)) (* tau x) (/ (sin (* (* x (PI)) tau)) (PI)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* (* x (PI)) tau)) (* tau (PI)))) (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* (* x (PI)) tau)) (* tau (PI))) (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (* x (PI)) (neg tau)) (PI))) (+ (* (* x (PI)) (neg tau)) (PI)) (neg tau))
8.0ms	tau	@	-inf	((* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) tau (PI) x (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (* (* x (PI)) (* tau x)) (* tau x) (/ (sin (* (* x (PI)) tau)) (PI)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* (* x (PI)) tau)) (* tau (PI)))) (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* (* x (PI)) tau)) (* tau (PI))) (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (* x (PI)) (neg tau)) (PI))) (+ (* (* x (PI)) (neg tau)) (PI)) (neg tau))
7.0ms	x	@	-inf	((* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) tau (PI) x (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (* (* x (PI)) (* tau x)) (* tau x) (/ (sin (* (* x (PI)) tau)) (PI)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* (* x (PI)) tau)) (* tau (PI)))) (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* (* x (PI)) tau)) (* tau (PI))) (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (* x (PI)) (neg tau)) (PI))) (+ (* (* x (PI)) (neg tau)) (PI)) (neg tau))
6.0ms	x	@	inf	((* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) tau (PI) x (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/ (sin (* x (PI))) (* (* x (PI)) (* tau x))) (* (* x (PI)) (* tau x)) (* tau x) (/ (sin (* (* x (PI)) tau)) (PI)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* (* x (PI)) tau)) (* tau (PI)))) (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* (* x (PI)) tau)) (* tau (PI))) (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (* x (PI)) (neg tau)) (PI))) (+ (* (* x (PI)) (neg tau)) (PI)) (neg tau))

rewrite1.9s (21.3%)

Memory

44.9MiB live, 2 083.5MiB allocated; 487ms collecting garbage

Counts

28 → 5 256

Calls

Call 1

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

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

eval169.0ms (1.9%)

Memory: -17.1MiB live, 315.3MiB allocated; 58ms collecting garbage
Compiler: Compiled 37 090 to 4 399 computations (88.1% saved)

prune66.0ms (0.7%)

Memory

15.5MiB live, 161.7MiB allocated; 9ms collecting garbage

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	1 969	27	1 996
Fresh	10	17	27
Picked	2	3	5
Done	0	0	0
Total	1 981	47	2 028

Accuracy

99.9%

Counts

2 028 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau))
	96.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
	96.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))) tau)
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) x))
	96.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
	85.7%	(.f32 (/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32)) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) #s(literal 2 binary32)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) tau) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
	97.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)) (PI.f32)) tau))
	77.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (*.f32 x (PI.f32))))
✓	81.6%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	58.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.7%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) (neg.f32 x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.7%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.7%	(.f32 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.2%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	78.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))))
	77.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 x (PI.f32))))
	83.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (+.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)))))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau)))
▶	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
▶	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau x)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau (PI.f32))))
	78.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))))
	68.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x)))
▶	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 x (PI.f32)) x) tau)) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
✓	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))))
	82.1%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	79.7%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
	79.8%	(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.8%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	61.9%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.9%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
	96.7%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x (PI.f32)) x)))
	68.7%	(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
	68.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
▶	4.5%	#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
	77.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
✓	61.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 761 to 1 272 computations (27.8% saved)

series421.0ms (4.6%)

Memory

27.0MiB live, 498.0MiB allocated; 38ms collecting garbage

Counts

37 → 103

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (PI.f32))
(.f32 tau (.f32 x (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
(.f32 (.f32 tau (PI.f32)) x)
(*.f32 tau (PI.f32))
(.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (PI.f32) (PI.f32))
(*.f32 x x)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 tau x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) (*.f32 tau x)))
(sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32))))
(neg.f32 (fma.f32 x (PI.f32) (PI.f32)))
(fma.f32 x (PI.f32) (PI.f32))
(.f32 (.f32 x (PI.f32)) (*.f32 tau x))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 (.f32 x (PI.f32)) tau)

Outputs
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (+.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))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (+.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))) (fma.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))))))))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (+.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)))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (+.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)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (+.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))))))))))
#s(approx (sin (* (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32))))
#s(approx (sin (* (* tau x) (PI))) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 tau (PI.f32)))))
#s(approx (sin (* (* tau x) (PI))) (.f32 x (fma.f32 tau (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (sin (* (* tau x) (PI))) (.f32 x (fma.f32 tau (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 7 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
#s(approx (* tau x) (*.f32 tau x))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.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))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (.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)))))))
#s(approx (sin (* x (PI))) (.f32 x (+.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
#s(approx (sin (* x (PI))) (.f32 x (+.f32 (PI.f32) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
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#s(approx tau tau)
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 tau (.f32 (cos.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32))) (/.f32 (.f32 (sin.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) tau))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 tau (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (cos.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 #s(literal -1/2 binary32) (.f32 tau (.f32 (sin.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))) (/.f32 (.f32 (sin.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) tau))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 tau (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (cos.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (fma.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 #s(literal 1/6 binary32) (.f32 tau (.f32 x (.f32 (PI.f32) (.f32 (cos.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))))))) (/.f32 (.f32 (sin.f32 (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) tau))
#s(approx (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
#s(approx (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.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)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
#s(approx (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.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)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
#s(approx (* tau (PI)) (*.f32 tau (PI.f32)))
#s(approx (/ (sin (* (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) (.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 3 binary32)))))) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (sin (* (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (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 6 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32)))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (neg.f32 (+.f32 (PI.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 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32)))))))))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32)))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (neg.f32 (+.f32 (PI.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 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))))))))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32)))))
#s(approx (/ (sin (* (* x (PI)) tau)) (PI)) (.f32 tau (+.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (PI)) (.f32 tau (+.f32 x (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (PI)) (.f32 tau (+.f32 x (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	tau	@	-inf	((* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (PI)) (* tau (* x (PI)))) (sin (PI)) (* tau (* x (PI))) (* (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/ (sin (* x (PI))) x)) (/ (sin (* (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (* (* (PI) (PI)) (* tau x)) (/ (sin (* x (PI))) x) (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (sin (neg (+ (* x (PI)) (PI)))) (neg (+ (* x (PI)) (PI))) (+ (* x (PI)) (PI)) (* (* x (PI)) (* tau x)) (/ (sin (* (* x (PI)) tau)) (PI)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
10.0ms	tau	@	inf	((* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (PI)) (* tau (* x (PI)))) (sin (PI)) (* tau (* x (PI))) (* (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/ (sin (* x (PI))) x)) (/ (sin (* (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (* (* (PI) (PI)) (* tau x)) (/ (sin (* x (PI))) x) (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (sin (neg (+ (* x (PI)) (PI)))) (neg (+ (* x (PI)) (PI))) (+ (* x (PI)) (PI)) (* (* x (PI)) (* tau x)) (/ (sin (* (* x (PI)) tau)) (PI)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
10.0ms	x	@	inf	((* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (PI)) (* tau (* x (PI)))) (sin (PI)) (* tau (* x (PI))) (* (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/ (sin (* x (PI))) x)) (/ (sin (* (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (* (* (PI) (PI)) (* tau x)) (/ (sin (* x (PI))) x) (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (sin (neg (+ (* x (PI)) (PI)))) (neg (+ (* x (PI)) (PI))) (+ (* x (PI)) (PI)) (* (* x (PI)) (* tau x)) (/ (sin (* (* x (PI)) tau)) (PI)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
9.0ms	x	@	-inf	((* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (PI)) (* tau (* x (PI)))) (sin (PI)) (* tau (* x (PI))) (* (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/ (sin (* x (PI))) x)) (/ (sin (* (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (* (* (PI) (PI)) (* tau x)) (/ (sin (* x (PI))) x) (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (sin (neg (+ (* x (PI)) (PI)))) (neg (+ (* x (PI)) (PI))) (+ (* x (PI)) (PI)) (* (* x (PI)) (* tau x)) (/ (sin (* (* x (PI)) tau)) (PI)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
6.0ms	tau	@	0	((* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (PI)) (* tau (* x (PI)))) (sin (PI)) (* tau (* x (PI))) (* (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/ (sin (* x (PI))) x)) (/ (sin (* (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (* (* (PI) (PI)) (* tau x)) (/ (sin (* x (PI))) x) (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (sin (neg (+ (* x (PI)) (PI)))) (neg (+ (* x (PI)) (PI))) (+ (* x (PI)) (PI)) (* (* x (PI)) (* tau x)) (/ (sin (* (* x (PI)) tau)) (PI)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))

rewrite741.0ms (8.1%)

Memory

-3.2MiB live, 686.5MiB allocated; 113ms collecting garbage

Counts

37 → 1 003

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (PI.f32))
(.f32 tau (.f32 x (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
(.f32 (.f32 tau (PI.f32)) x)
(*.f32 tau (PI.f32))
(.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (PI.f32) (PI.f32))
(*.f32 x x)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 tau x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) (*.f32 tau x)))
(sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32))))
(neg.f32 (fma.f32 x (PI.f32) (PI.f32)))
(fma.f32 x (PI.f32) (PI.f32))
(.f32 (.f32 x (PI.f32)) (*.f32 tau x))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 (.f32 x (PI.f32)) tau)

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

eval48.0ms (0.5%)

Memory: 5.7MiB live, 92.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 8 242 to 2 110 computations (74.4% saved)

prune79.0ms (0.9%)

Memory

-35.3MiB live, 92.4MiB allocated; 76ms collecting garbage

Pruning

55 alts after pruning (50 fresh and 5 done)

	Pruned	Kept	Total
New	557	25	582
Fresh	14	25	39
Picked	3	2	5
Done	0	3	3
Total	574	55	629

Accuracy

99.9%

Counts

629 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)
	96.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))) tau)
	96.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
	85.7%	(.f32 (/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32)) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) #s(literal 2 binary32)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) tau) (sin.f32 (*.f32 x (PI.f32))))
▶	97.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)) (PI.f32)) tau))
	77.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (*.f32 x (PI.f32))))
✓	81.6%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	58.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.7%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) (neg.f32 x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.7%	(.f32 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.2%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	78.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))))
	77.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 x (PI.f32))))
	83.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (+.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)))))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32))))
	68.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
▶	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) tau)) (sin.f32 (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	68.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
	68.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
▶	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau x)))
	78.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau x) (.f32 (.f32 x (PI.f32)) (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
✓	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	68.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
✓	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
	82.1%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	79.7%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
	79.8%	(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.8%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	61.8%	(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.9%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
	96.7%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x (PI.f32)) x)))
	96.8%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
	68.7%	(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
	77.5%	(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
	77.3%	(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
	61.8%	(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
	77.4%	(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	61.8%	(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	68.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
▶	6.3%	#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
	4.6%	#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
	77.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
✓	61.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
	51.4%	#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))

Compiler

Compiled 2 121 to 1 609 computations (24.1% saved)

series256.0ms (2.8%)

Memory

26.1MiB live, 297.4MiB allocated; 27ms collecting garbage

Counts

32 → 78

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
(.f32 (.f32 tau (PI.f32)) x)
(*.f32 tau (PI.f32))
tau
(PI.f32)
x
(.f32 (.f32 x (PI.f32)) (*.f32 tau (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 x (PI.f32)))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(literal 0 binary32)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x)))
(.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))
(.f32 (.f32 (PI.f32) (PI.f32)) tau)
(*.f32 (PI.f32) (PI.f32))
(*.f32 x x)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau)
(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32))

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	tau	@	-inf	((* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) (* tau (PI)))) (/ (sin (* x (PI))) x)) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) (* tau (PI)))) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) tau (PI) x (* (* x (PI)) (* tau (PI))) (* x (PI)) (/ (sin (* x (PI))) x) (sin (* x (PI))) (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) 0 (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) tau) (* x x))) (sin (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) tau) (* x x))) (* (* (* (PI) (PI)) tau) (* x x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (* x x) (* (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (/ (sin (* (* tau (PI)) x)) (PI)) tau)) (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* x (PI))) (* x (PI))) (/ (/ (sin (* (* tau (PI)) x)) (PI)) tau) (/ (sin (* (* tau (PI)) x)) (PI)))
6.0ms	x	@	-inf	((* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) (* tau (PI)))) (/ (sin (* x (PI))) x)) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) (* tau (PI)))) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) tau (PI) x (* (* x (PI)) (* tau (PI))) (* x (PI)) (/ (sin (* x (PI))) x) (sin (* x (PI))) (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) 0 (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) tau) (* x x))) (sin (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) tau) (* x x))) (* (* (* (PI) (PI)) tau) (* x x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (* x x) (* (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (/ (sin (* (* tau (PI)) x)) (PI)) tau)) (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* x (PI))) (* x (PI))) (/ (/ (sin (* (* tau (PI)) x)) (PI)) tau) (/ (sin (* (* tau (PI)) x)) (PI)))
5.0ms	x	@	inf	((* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) (* tau (PI)))) (/ (sin (* x (PI))) x)) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) (* tau (PI)))) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) tau (PI) x (* (* x (PI)) (* tau (PI))) (* x (PI)) (/ (sin (* x (PI))) x) (sin (* x (PI))) (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) 0 (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) tau) (* x x))) (sin (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) tau) (* x x))) (* (* (* (PI) (PI)) tau) (* x x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (* x x) (* (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (/ (sin (* (* tau (PI)) x)) (PI)) tau)) (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* x (PI))) (* x (PI))) (/ (/ (sin (* (* tau (PI)) x)) (PI)) tau) (/ (sin (* (* tau (PI)) x)) (PI)))
4.0ms	tau	@	inf	((* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) (* tau (PI)))) (/ (sin (* x (PI))) x)) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) (* tau (PI)))) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) tau (PI) x (* (* x (PI)) (* tau (PI))) (* x (PI)) (/ (sin (* x (PI))) x) (sin (* x (PI))) (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) 0 (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) tau) (* x x))) (sin (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) tau) (* x x))) (* (* (* (PI) (PI)) tau) (* x x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (* x x) (* (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (/ (sin (* (* tau (PI)) x)) (PI)) tau)) (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* x (PI))) (* x (PI))) (/ (/ (sin (* (* tau (PI)) x)) (PI)) tau) (/ (sin (* (* tau (PI)) x)) (PI)))
3.0ms	x	@	0	((* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) (* tau (PI)))) (/ (sin (* x (PI))) x)) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) (* tau (PI)))) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* tau (PI)) tau (PI) x (* (* x (PI)) (* tau (PI))) (* x (PI)) (/ (sin (* x (PI))) x) (sin (* x (PI))) (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) 0 (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) tau) (* x x))) (sin (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* (* (PI) (PI)) tau) (* x x))) (* (* (* (PI) (PI)) tau) (* x x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (* x x) (* (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (/ (sin (* (* tau (PI)) x)) (PI)) tau)) (/ (/ (sin (* x (PI))) (* x (PI))) x) (/ (sin (* x (PI))) (* x (PI))) (/ (/ (sin (* (* tau (PI)) x)) (PI)) tau) (/ (sin (* (* tau (PI)) x)) (PI)))

rewrite1.6s (17.3%)

Memory

80.9MiB live, 1 640.7MiB allocated; 276ms collecting garbage

Counts

32 → 2 181

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (*.f32 tau (PI.f32))))
(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
(.f32 (.f32 tau (PI.f32)) x)
(*.f32 tau (PI.f32))
tau
(PI.f32)
x
(.f32 (.f32 x (PI.f32)) (*.f32 tau (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 x (PI.f32)))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(literal 0 binary32)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x)))
(.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))
(.f32 (.f32 (PI.f32) (PI.f32)) tau)
(*.f32 (PI.f32) (PI.f32))
(*.f32 x x)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau)
(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32))

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

eval100.0ms (1.1%)

Memory: 13.3MiB live, 193.3MiB allocated; 32ms collecting garbage
Compiler: Compiled 18 568 to 3 638 computations (80.4% saved)

prune95.0ms (1%)

Memory

21.1MiB live, 168.2MiB allocated; 33ms collecting garbage

Pruning

71 alts after pruning (64 fresh and 7 done)

	Pruned	Kept	Total
New	1 274	28	1 302
Fresh	9	36	45
Picked	2	3	5
Done	1	4	5
Total	1 286	71	1 357

Accuracy

99.9%

Counts

1 357 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)
	96.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))) tau)
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x)))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
	85.7%	(.f32 (/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32)) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) #s(literal 2 binary32)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) tau) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau x)) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	69.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) tau) (sin.f32 (*.f32 x (PI.f32))))
	81.6%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (*.f32 x (PI.f32))))
	77.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (*.f32 x (PI.f32))))
	58.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.7%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) (neg.f32 x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.7%	(.f32 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.2%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	78.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32))))
	68.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
	78.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (*.f32 x x))) (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))))
✓	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
	79.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (*.f32 x x))) (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))))
	77.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (*.f32 x x))) (cos.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) tau)) (sin.f32 (.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32))) x)) (sin.f32 (.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau (PI.f32)) x) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	68.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
	68.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau x)))
	68.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (PI.f32)))
	78.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau x) (.f32 (.f32 x (PI.f32)) (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (.f32 (neg.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (neg.f32 x)))) (sin.f32 (.f32 x (PI.f32))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
✓	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	68.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
✓	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
	82.1%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (*.f32 x (PI.f32))))
	82.1%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
✓	79.7%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
	79.8%	(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
	77.8%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	61.8%	(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.9%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
	68.7%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.8%	(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) (PI.f32)) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) tau)) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.9%	(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) x) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.9%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.9%	(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.8%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
	68.8%	(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
	68.7%	(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
	77.5%	(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
	77.3%	(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
	61.8%	(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
	77.4%	(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	61.8%	(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	67.6%	(.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* (* tau x) (PI))) (+.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(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
✓	6.3%	#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
	4.6%	#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
	77.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
✓	61.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
	51.4%	#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))

Compiler

Compiled 2 781 to 1 502 computations (46% saved)

regimes126.0ms (1.4%)

Memory

6.7MiB live, 190.1MiB allocated; 21ms collecting garbage

Counts

113 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.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 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.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 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau x)) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) tau) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) x) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) (PI.f32)) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) tau)) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* (* tau x) (PI))) (+.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(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau x) (.f32 (.f32 x (PI.f32)) (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau (PI.f32)) x) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32))) x)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (+.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 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 x (PI.f32)) x) tau)) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) tau) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))) tau)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (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))) (PI.f32)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) tau) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) x))
(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (.f32 (neg.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (neg.f32 x)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (*.f32 x x))) (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (*.f32 x x))) (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.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 (neg.f32 (fma.f32 x (PI.f32) (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 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) (neg.f32 x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (*.f32 x x))) (cos.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.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 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 x (PI.f32))))
(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))) #s(literal 2 binary32))
(.f32 (/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32)) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) #s(literal 2 binary32)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))

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

Calls

4 calls:

34.0ms	(*.f32 x (PI.f32))
29.0ms	x
28.0ms	(.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))))
27.0ms	tau

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes78.0ms (0.9%)

Memory

-7.8MiB live, 122.6MiB allocated; 12ms collecting garbage

Counts

67 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.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 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.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 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau x)) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) tau) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) x) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) (PI.f32)) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) tau)) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* (* tau x) (PI))) (+.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(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau x) (.f32 (.f32 x (PI.f32)) (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau (PI.f32)) x) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32))) x)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (+.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 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 x (PI.f32)) x) tau)) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau)))

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

Calls

4 calls:

20.0ms	(*.f32 x (PI.f32))
20.0ms	x
19.0ms	tau
16.0ms	(.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
97.7%	1	`(*.f32 x (PI.f32))`
97.7%	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))))`
97.7%	1	`x`
97.7%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes82.0ms (0.9%)

Memory

17.6MiB live, 110.7MiB allocated; 23ms collecting garbage

Counts

59 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.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 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.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 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau x)) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) tau) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) x) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) (PI.f32)) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) tau)) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* (* tau x) (PI))) (+.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(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau x) (.f32 (.f32 x (PI.f32)) (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau (PI.f32)) x) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32))) x)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (+.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 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 x (PI.f32)) x) tau)) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x)))

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

Calls

4 calls:

25.0ms	x
15.0ms	tau
15.0ms	(*.f32 x (PI.f32))
14.0ms	(.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
97.7%	1	`(*.f32 x (PI.f32))`
97.7%	1	`x`
97.7%	1	`tau`
97.7%	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 22 to 18 computations (18.2% saved)

regimes83.0ms (0.9%)

Memory

35.6MiB live, 108.6MiB allocated; 25ms collecting garbage

Counts

57 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.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 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.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 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau x)) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) tau) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) x) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) (PI.f32)) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) tau)) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* (* tau x) (PI))) (+.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(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau x) (.f32 (.f32 x (PI.f32)) (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau (PI.f32)) x) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32))) x)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (+.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 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 x (PI.f32)) x) tau)) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))

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

Calls

4 calls:

27.0ms	x
25.0ms	tau
14.0ms	(*.f32 x (PI.f32))
14.0ms	(.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
97.3%	1	`(*.f32 x (PI.f32))`
97.3%	1	`x`
97.3%	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))))`
97.3%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes111.0ms (1.2%)

Memory

12.1MiB live, 83.5MiB allocated; 69ms collecting garbage

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.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 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.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 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau x)) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) tau) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) x) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) (PI.f32)) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) tau)) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* (* tau x) (PI))) (+.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(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau x) (.f32 (.f32 x (PI.f32)) (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))

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

Calls

4 calls:

63.0ms	tau
24.0ms	x
11.0ms	(*.f32 x (PI.f32))
10.0ms	(.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
97.0%	1	`(*.f32 x (PI.f32))`
97.0%	1	`x`
97.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.0%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes55.0ms (0.6%)

Memory

-3.2MiB live, 79.3MiB allocated; 14ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.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 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.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 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau x)) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) tau) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) x) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) (PI.f32)) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) tau)) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* (* tau x) (PI))) (+.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(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (sin.f32 (.f32 x (PI.f32))))

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

Calls

4 calls:

19.0ms	tau
13.0ms	(*.f32 x (PI.f32))
10.0ms	x
10.0ms	(.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
96.8%	1	`(*.f32 x (PI.f32))`
96.8%	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))))`
96.8%	1	`x`
96.8%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes208.0ms (2.3%)

Memory

10.6MiB live, 70.5MiB allocated; 203ms collecting garbage

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.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 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.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 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau x)) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) tau) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) x) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) (PI.f32)) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) tau)) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* (* tau x) (PI))) (+.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(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.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 -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 tau #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))

Outputs

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

Calls

4 calls:

177.0ms	x
11.0ms	(.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))))
9.0ms	tau
9.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
77.5%	1	`(*.f32 x (PI.f32))`
77.5%	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))))`
77.5%	1	`x`
77.5%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes40.0ms (0.4%)

Memory

15.4MiB live, 55.6MiB allocated; 9ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.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 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.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 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau x)) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) tau) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) x) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau (PI.f32)) x))) (PI.f32)) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) tau)) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Calls

4 calls:

15.0ms	tau
8.0ms	x
8.0ms	(*.f32 x (PI.f32))
8.0ms	(.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
69.0%	1	`(*.f32 x (PI.f32))`
69.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
69.0%	1	`x`
69.0%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes33.0ms (0.4%)

Memory

8.2MiB live, 46.1MiB allocated; 10ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.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 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.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 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Calls

4 calls:

15.0ms	x
6.0ms	(*.f32 x (PI.f32))
6.0ms	tau
5.0ms	(.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
68.9%	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))))`
68.9%	1	`tau`
68.9%	1	`(*.f32 x (PI.f32))`
68.9%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes31.0ms (0.3%)

Memory

0.9MiB live, 38.3MiB allocated; 11ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.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 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Calls

4 calls:

15.0ms	tau
5.0ms	x
5.0ms	(*.f32 x (PI.f32))
5.0ms	(.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
68.9%	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))))`
68.9%	1	`(*.f32 x (PI.f32))`
68.9%	1	`x`
68.9%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes52.0ms (0.6%)

Memory

-7.5MiB live, 37.2MiB allocated; 34ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.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 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))

Outputs
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)))

Calls

4 calls:

36.0ms	(*.f32 x (PI.f32))
5.0ms	tau
5.0ms	x
5.0ms	(.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
68.9%	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))))`
68.9%	1	`tau`
68.9%	1	`(*.f32 x (PI.f32))`
68.9%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes26.0ms (0.3%)

Memory

-1.8MiB live, 39.7MiB allocated; 7ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.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 (PI.f32) (PI.f32)) (.f32 tau x))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) x) (PI.f32)))

Calls

4 calls:

11.0ms	(.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))))
5.0ms	tau
5.0ms	x
5.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
68.8%	1	`tau`
68.8%	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))))`
68.8%	1	`(*.f32 x (PI.f32))`
68.8%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes14.0ms (0.2%)

Memory

26.7MiB live, 26.7MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) tau))

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

Calls

4 calls:

3.0ms	tau
3.0ms	x
3.0ms	(*.f32 x (PI.f32))
3.0ms	(.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
68.8%	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))))`
68.8%	1	`tau`
68.8%	1	`(*.f32 x (PI.f32))`
68.8%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes20.0ms (0.2%)

Memory

-18.0MiB live, 21.3MiB allocated; 9ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 tau (PI.f32))))

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

Calls

4 calls:

11.0ms	x
3.0ms	(*.f32 x (PI.f32))
3.0ms	(.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))))
3.0ms	tau

Results

Accuracy	Segments	Branch
68.7%	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))))`
68.7%	1	`tau`
68.7%	1	`(*.f32 x (PI.f32))`
68.7%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes10.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
#s(approx (* (/ (sin (neg (+ (* x (PI)) (PI)))) (* (* x (PI)) (* tau x))) (/ (sin (* (* x (PI)) tau)) (PI))) (/.f32 (sin.f32 (neg.f32 (+.f32 (PI.f32) (.f32 x (PI.f32))))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* (PI) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))

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

Calls

4 calls:

2.0ms	(.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))))
2.0ms	tau
2.0ms	(*.f32 x (PI.f32))
2.0ms	x

Results

Accuracy	Segments	Branch
61.8%	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))))`
61.8%	1	`tau`
61.8%	1	`(*.f32 x (PI.f32))`
61.8%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes15.0ms (0.2%)

Memory

-22.9MiB live, 16.4MiB allocated; 9ms collecting garbage

Accuracy

Total -18.4b remaining (-148.1%)

Threshold costs -18.4b (-148.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (pow (* x (PI)) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin.f32 (PI.f32)))
#s(approx (* (/ (sin (+ (* (* x (PI)) (neg tau)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (PI.f32)) (.f32 tau (.f32 x (PI.f32)))))

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

Calls

4 calls:

9.0ms	(*.f32 x (PI.f32))
2.0ms	(.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))))
2.0ms	x
2.0ms	tau

Results

Accuracy	Segments	Branch
61.1%	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))))`
61.1%	1	`(*.f32 x (PI.f32))`
61.1%	1	`x`
61.1%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

derivations3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 219 to 88 computations (59.8% saved)

preprocess180.0ms (2%)

Memory

39.0MiB live, 291.2MiB allocated; 98ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 1 484 to 1 022 computations (31.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze22.0ms (0.2%)

sample916.0ms (10.1%)

preprocess69.0ms (0.8%)

series172.0ms (1.9%)

rewrite862.0ms (9.5%)

eval24.0ms (0.3%)

prune24.0ms (0.3%)

series355.0ms (3.9%)

rewrite1.9s (21.3%)

eval169.0ms (1.9%)

prune66.0ms (0.7%)

series421.0ms (4.6%)

rewrite741.0ms (8.1%)

eval48.0ms (0.5%)

prune79.0ms (0.9%)

series256.0ms (2.8%)

rewrite1.6s (17.3%)

eval100.0ms (1.1%)

prune95.0ms (1%)

regimes126.0ms (1.4%)

regimes78.0ms (0.9%)

regimes82.0ms (0.9%)

regimes83.0ms (0.9%)

regimes111.0ms (1.2%)

regimes55.0ms (0.6%)

regimes208.0ms (2.3%)

regimes40.0ms (0.4%)

regimes33.0ms (0.4%)

regimes31.0ms (0.3%)

regimes52.0ms (0.6%)

regimes26.0ms (0.3%)

regimes14.0ms (0.2%)

regimes20.0ms (0.2%)

regimes10.0ms (0.1%)

regimes15.0ms (0.2%)

derivations3.0ms (0%)

preprocess180.0ms (2%)

end0.0ms (0%)

Profiling