Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze15.0ms (0.3%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms 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)

sample984.0ms (17.1%)

Memory

30.8MiB live, 956.0MiB allocated; 254ms collecting garbage

Samples

739.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 557.0ms

ival-sin: 193.0ms (34.6% of total)

ival-sinu: 167.0ms (30% of total)

ival-mult!: 109.0ms (19.6% of total)

ival-div!: 86.0ms (15.4% of total)

adjust: 1.0ms (0.2% 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

preprocess54.0ms (0.9%)

Memory

-26.3MiB live, 19.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	136
1	141	128
2	1051	116
3	5765	116

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs x)

(abs tau)

Compiler

Compiled 34 to 20 computations (41.2% saved)

series31.0ms (0.5%)

Memory

2.5MiB live, 48.3MiB allocated; 4ms 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(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 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))))
6.0ms	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	@	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))))

rewrite204.0ms (3.5%)

Memory

1.3MiB live, 189.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	1276
0	273	1210
1	1605	1190
0	8594	1137

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

43 → 96

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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))))) (.f32 (PI.f32) (neg.f32 (.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (PI.f32) x))) (sin.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (neg.f32 (.f32 (PI.f32) x)))) (.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (neg.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (neg.f32 (.f32 (*.f32 tau x) (PI.f32))) (PI.f32)))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (sin.f32 (neg.f32 (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (neg.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))) (neg.f32 (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))) (neg.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))))) (neg.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (neg.f32 (.f32 (.f32 tau 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)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 tau x) (PI.f32))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 tau (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (.f32 (PI.f32) x)))) (neg.f32 (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (neg.f32 (.f32 (PI.f32) x))) (neg.f32 (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
#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)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))))) (.f32 x x))))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x))) #s(literal -1/5040 binary32) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32)))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (PI.f32) tau (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 x x)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x))) x))
#s(approx (* x (PI)) (*.f32 (PI.f32) x))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x)) #s(literal -1/5040 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
#s(approx (sin (* x (PI))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (sin (* x (PI))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))))
#s(approx (sin (* (* x (PI)) tau)) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) x)) (.f32 (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 6 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)))) (.f32 tau tau) (.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)

eval8.0ms (0.1%)

Memory: 16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 763 to 425 computations (75.9% saved)

prune12.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	72	20	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	20	93

Accuracy

99.5%

Counts

93 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
▶	97.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
	86.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
	92.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
▶	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
▶	98.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	65.8%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	80.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
▶	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))))
▶	65.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 938 to 632 computations (32.6% saved)

series35.0ms (0.6%)

Memory

8.8MiB live, 53.2MiB allocated; 5ms collecting garbage

Counts

36 → 54

Calls

Call 1

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

Outputs
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* -1/6 (* x x)) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)))
#s(approx (* (* (* (PI) (PI)) (* x x)) tau) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (* (PI) (PI)) (* x x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	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) tau) (PI) tau (/ (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)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))
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) tau) (PI) tau (/ (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)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))
5.0ms	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) tau) (PI) tau (/ (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)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))
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) tau) (PI) tau (/ (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)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))
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) tau) (PI) tau (/ (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)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))

rewrite204.0ms (3.5%)

Memory

-4.9MiB live, 231.9MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	420	2322
0	471	2185
1	2583	2153
0	8680	2066

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

90 → 381

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.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)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 #s(literal -1/6 binary32) (.f32 x x))
#s(literal -1/6 binary32)
(*.f32 x x)
(*.f32 (PI.f32) (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* -1/6 (* x x)) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)))
#s(approx (* (* (* (PI) (PI)) (* x x)) tau) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (* (PI) (PI)) (* x x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))

Outputs
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#s(approx (sin (* x (* (PI) tau))) (.f32 (.f32 (PI.f32) x) tau))
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#s(approx x x)
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#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x)) #s(literal -1/5040 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
#s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
#s(approx (sin (* x (PI))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (sin (* x (PI))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (* -1/6 (* x x)) (.f32 (.f32 x x) #s(literal -1/6 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (* tau x) (*.f32 tau x))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 x x)) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) tau) (.f32 x x) (.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
#s(approx (* (* (* (PI) (PI)) (* x x)) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
#s(approx (* (* (PI) (PI)) (* x x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (*.f32 (PI.f32) tau)) x))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (PI.f32) tau (.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) tau)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x))) x))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) tau)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (.f32 tau tau) tau)) #s(literal -1/720 binary32) (fma.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 7 binary32) (.f32 (log.f32 tau) #s(literal 5 binary32)))) #s(literal -1/720 binary32) (.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) tau (pow.f32 (.f32 (PI.f32) tau) #s(literal 7 binary32)))))) (.f32 x x))))) (.f32 x x))) (.f32 x x) (*.f32 (PI.f32) tau)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)))
#s(approx (sin (* x (* (PI) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) tau))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) x)) (.f32 (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)))) (.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 6 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* x (* (PI) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 tau tau) (.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx tau tau)
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (sin.f32 (.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 6 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau))

eval41.0ms (0.7%)

Memory: -21.1MiB live, 65.1MiB allocated; 16ms collecting garbage
Compiler: Compiled 4 734 to 1 281 computations (72.9% saved)

prune88.0ms (1.5%)

Memory

27.4MiB live, 72.0MiB allocated; 7ms collecting garbage

Pruning

50 alts after pruning (48 fresh and 2 done)

	Pruned	Kept	Total
New	253	41	294
Fresh	8	7	15
Picked	3	2	5
Done	0	0	0
Total	264	50	314

Accuracy

99.6%

Counts

314 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
▶	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	87.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	79.6%	(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
	65.8%	(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)))
	86.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) x))
▶	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 tau x)))
	86.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
▶	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	86.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
▶	92.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (exp.f32 (.f32 (log.f32 x) #s(literal 2 binary32)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (+.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	95.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (.f32 x (PI.f32))))
	86.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
	72.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	95.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x)) #s(literal -1/5040 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
	92.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	97.7%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau)))
	81.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.6%	(.f32 #s(approx (/ (sin ( x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
▶	80.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
	96.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
	94.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 x x)) tau))))
	97.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau))))
	95.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 x x)) tau))))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
	97.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))))
	92.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (.f32 (log.f32 x) #s(literal 2 binary32)))) tau))))
	91.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
	86.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
	72.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
✓	65.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 862 to 1 997 computations (30.2% saved)

series58.0ms (1%)

Memory

-23.2MiB live, 83.1MiB allocated; 37ms collecting garbage

Counts

42 → 79

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 (.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))
(.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))))
#s(literal -1/6 binary32)
(fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) tau)
(*.f32 (PI.f32) (PI.f32))
(*.f32 x x)
#s(literal 1 binary32)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau)
(/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 x x) #s(literal -1/6 binary32))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(/.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))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
(fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(.f32 #s(literal 1/120 binary32) (.f32 x x))
#s(literal 1/120 binary32)
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (.f32 (PI.f32) tau))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))

Outputs
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 1))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))))))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ 1 (* x (PI)))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) x)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (PI)) (* 1/120 (* (pow x 2) (pow (PI) 3))))) (/ 1 (PI))) x)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (PI)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 5))) (* 1/120 (pow (PI) 3)))))) (/ 1 (PI))) x)))
#s(approx (* (* x x) -1/6) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* -1/6 (pow (PI) 2))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
#s(approx (* 1/120 (* x x)) #s(hole binary32 (* 1/120 (pow x 2))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (/ (sin (* tau (* x (PI)))) tau)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* 1/120 (* (pow x 4) (pow (PI) 4)))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* 1/120 (pow (PI) 4)) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* 1/120 (* (pow x 2) (pow (PI) 4)))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (pow (PI) 2)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (* (pow tau 2) (pow (PI) 2)))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	((/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) (* (* x x) -1/6) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (PI) (PI)) -1/6) (* (/ (sin (* (* (PI) x) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (PI) x) tau)) (* x (* (PI) tau))) (* x (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
8.0ms	tau	@	inf	((/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) (* (* x x) -1/6) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (PI) (PI)) -1/6) (* (/ (sin (* (* (PI) x) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (PI) x) tau)) (* x (* (PI) tau))) (* x (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms	x	@	-inf	((/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) (* (* x x) -1/6) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (PI) (PI)) -1/6) (* (/ (sin (* (* (PI) x) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (PI) x) tau)) (* x (* (PI) tau))) (* x (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	tau	@	-inf	((/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) (* (* x x) -1/6) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (PI) (PI)) -1/6) (* (/ (sin (* (* (PI) x) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (PI) x) tau)) (* x (* (PI) tau))) (* x (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	x	@	0	((/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) (* (* x x) -1/6) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (PI) (PI)) -1/6) (* (/ (sin (* (* (PI) x) tau)) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (PI) x) tau)) (* x (* (PI) tau))) (* x (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite189.0ms (3.3%)

Memory

13.5MiB live, 242.0MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	506	3293
0	581	3057
1	3224	3013
0	8087	2882

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

121 → 574

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 (.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))
(.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))))
#s(literal -1/6 binary32)
(fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) tau)
(*.f32 (PI.f32) (PI.f32))
(*.f32 x x)
#s(literal 1 binary32)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau)
(/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 x x) #s(literal -1/6 binary32))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(/.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))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
(fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(.f32 #s(literal 1/120 binary32) (.f32 x x))
#s(literal 1/120 binary32)
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (.f32 (PI.f32) tau))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 1))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))))))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ 1 (* x (PI)))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) x)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (PI)) (* 1/120 (* (pow x 2) (pow (PI) 3))))) (/ 1 (PI))) x)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (PI)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 5))) (* 1/120 (pow (PI) 3)))))) (/ 1 (PI))) x)))
#s(approx (* (* x x) -1/6) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* -1/6 (pow (PI) 2))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
#s(approx (* 1/120 (* x x)) #s(hole binary32 (* 1/120 (pow x 2))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (/ (sin (* tau (* x (PI)))) tau)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* 1/120 (* (pow x 4) (pow (PI) 4)))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* 1/120 (pow (PI) 4)) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* 1/120 (* (pow x 2) (pow (PI) 4)))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (pow (PI) 2)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (* (pow tau 2) (pow (PI) 2)))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))))

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

eval86.0ms (1.5%)

Memory: -23.6MiB live, 82.2MiB allocated; 19ms collecting garbage
Compiler: Compiled 10 684 to 2 255 computations (78.9% saved)

prune77.0ms (1.3%)

Memory

28.4MiB live, 162.9MiB allocated; 12ms collecting garbage

Pruning

81 alts after pruning (78 fresh and 3 done)

	Pruned	Kept	Total
New	470	52	522
Fresh	17	26	43
Picked	4	1	5
Done	0	2	2
Total	491	81	572

Accuracy

99.6%

Counts

572 → 81

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
	86.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))) (.f32 (PI.f32) x))
	86.4%	(/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 x tau))
✓	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
	86.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) x))) tau)
	86.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) tau))
▶	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau))
	92.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) x) tau))
	87.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	79.9%	(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
	65.9%	(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
	92.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	91.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (.f32 (PI.f32) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
▶	86.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
	86.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
	86.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
	91.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) x))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
	91.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (PI.f32)))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)))
	92.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 x tau)))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (.f32 x tau)))
	92.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
	86.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x))) (*.f32 (PI.f32) x)))
	92.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
▶	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	72.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	92.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) x) x))) (.f32 x x) #s(literal 1 binary32))))
	92.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	92.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (+.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
	92.6%	(.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 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)))))
	13.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
	86.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	95.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (.f32 x (PI.f32))))
	86.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
	72.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	95.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x)) #s(literal -1/5040 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
	92.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	80.6%	(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	96.9%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)))
	85.0%	(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)))) (.f32 tau tau) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	81.1%	(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	80.9%	(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
▶	87.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	81.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	80.8%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	80.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
	80.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
	71.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
▶	66.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
	80.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
	80.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
	80.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
	96.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
	94.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 x x)) tau))))
	97.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau))))
	95.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 x x)) tau))))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
	97.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))))
	92.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (.f32 (log.f32 x) #s(literal 2 binary32)))) tau))))
	91.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
	86.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
	72.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
	79.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
	4.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
✓	65.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 5 115 to 3 589 computations (29.8% saved)

series47.0ms (0.8%)

Memory

-10.5MiB live, 92.1MiB allocated; 10ms collecting garbage

Counts

47 → 111

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 (.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))
(.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))))
#s(literal -1/6 binary32)
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 x x)
#s(literal 1 binary32)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau)
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
(/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (.f32 x x) (PI.f32))
(/.f32 #s(literal 1 binary32) (PI.f32))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32))
(/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x)
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))
(.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))
(fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))
(.f32 #s(literal 1/120 binary32) (.f32 tau tau))
#s(literal 1/120 binary32)
(*.f32 tau tau)
(pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32))
#s(literal 4 binary32)
(.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
(fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(.f32 #s(literal 1/120 binary32) (.f32 x x))
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))

Outputs
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))))))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ 1 (* x (PI)))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) x)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (PI)) (* 1/120 (* (pow x 2) (pow (PI) 3))))) (/ 1 (PI))) x)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (PI)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 5))) (* 1/120 (pow (PI) 3)))))) (/ 1 (PI))) x)))
#s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) #s(hole binary32 (/ 1 (PI))))
#s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) #s(hole binary32 (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI)))))
#s(approx (* (* x x) (PI)) #s(hole binary32 (* (pow x 2) (PI))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (* x (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) x) #s(hole binary32 (/ 1 x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) x) #s(hole binary32 (/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) x) #s(hole binary32 (/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) x) #s(hole binary32 (/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) x)))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (* (* (* x x) (PI)) -1/6) #s(hole binary32 (* -1/6 (* (pow x 2) (PI)))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4))))))))
#s(approx (pow (* (PI) x) 4) #s(hole binary32 (* (pow x 4) (pow (PI) 4))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* -1/6 (pow (PI) 2))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
#s(approx (* 1/120 (* x x)) #s(hole binary32 (* 1/120 (pow x 2))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (/ (sin (* tau (* x (PI)))) tau)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* (pow x 2) (pow (PI) 2)))))
#s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) #s(hole binary32 (* -1/6 (* x (PI)))))
#s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) #s(hole binary32 (* x (+ (* -1/6 (PI)) (/ 1 (* (pow x 2) (PI)))))))
#s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (PI)) (/ 1 (* (pow x 2) (PI)))))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (PI)))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) x) #s(hole binary32 (/ (sin (* x (PI))) (* (pow x 2) (PI)))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (+ (* (* (* (* x x) (PI)) -1/6) (PI)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) #s(hole binary32 (* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))))
#s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))
#s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) #s(hole binary32 (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))
#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (* (pow tau 2) (pow (PI) 4)))))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* 1/120 (* (pow x 4) (pow (PI) 4)))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* 1/120 (pow (PI) 4)) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* 1/120 (* (pow x 2) (pow (PI) 4)))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) #s(hole binary32 (* -1 (* x (- (* 1/6 (PI)) (/ 1 (* (pow x 2) (PI))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (pow (PI) 2)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2)))))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4)))))))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) #s(hole binary32 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
#s(approx (* 1/120 (* tau tau)) #s(hole binary32 (* 1/120 (pow tau 2))))
#s(approx (* tau tau) #s(hole binary32 (pow tau 2)))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (* (pow tau 2) (pow (PI) 2)))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))))
#s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) #s(hole binary32 (* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))
#s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) #s(hole binary32 (* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ 1 (pow tau 4)))))))
#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (* (* x x) (PI)) (/ 1 (PI)) (* (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) x)) (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (* (* (* x x) (PI)) -1/6) (PI)) 1) (* (* (* x x) (PI)) -1/6) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* 1/120 (* tau tau)) 1/120 (* tau tau) (pow (* (PI) x) 4) 4 (* (* (* (* x x) (PI)) -1/6) (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI))) (* (* (PI) (PI)) -1/6))
8.0ms	x	@	-inf	((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (* (* x x) (PI)) (/ 1 (PI)) (* (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) x)) (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (* (* (* x x) (PI)) -1/6) (PI)) 1) (* (* (* x x) (PI)) -1/6) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* 1/120 (* tau tau)) 1/120 (* tau tau) (pow (* (PI) x) 4) 4 (* (* (* (* x x) (PI)) -1/6) (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI))) (* (* (PI) (PI)) -1/6))
7.0ms	tau	@	inf	((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (* (* x x) (PI)) (/ 1 (PI)) (* (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) x)) (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (* (* (* x x) (PI)) -1/6) (PI)) 1) (* (* (* x x) (PI)) -1/6) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* 1/120 (* tau tau)) 1/120 (* tau tau) (pow (* (PI) x) 4) 4 (* (* (* (* x x) (PI)) -1/6) (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI))) (* (* (PI) (PI)) -1/6))
6.0ms	x	@	0	((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (* (* x x) (PI)) (/ 1 (PI)) (* (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) x)) (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (* (* (* x x) (PI)) -1/6) (PI)) 1) (* (* (* x x) (PI)) -1/6) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* 1/120 (* tau tau)) 1/120 (* tau tau) (pow (* (PI) x) 4) 4 (* (* (* (* x x) (PI)) -1/6) (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI))) (* (* (PI) (PI)) -1/6))
6.0ms	tau	@	-inf	((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) (PI)) (* x x) 1 (* (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x))) (/ (sin (* (* (PI) x) tau)) tau) (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (* (* x x) (PI)) (/ 1 (PI)) (* (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) x)) (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (* (* (* x x) (PI)) -1/6) (PI)) 1) (* (* (* x x) (PI)) -1/6) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* 1/120 (* tau tau)) 1/120 (* tau tau) (pow (* (PI) x) 4) 4 (* (* (* (* x x) (PI)) -1/6) (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI))) (* (* (PI) (PI)) -1/6))

rewrite212.0ms (3.7%)

Memory

19.8MiB live, 204.9MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	618	4549
0	697	4261
1	3757	4213
0	8268	4051

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

158 → 429

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 (.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))
(.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))))
#s(literal -1/6 binary32)
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 x x)
#s(literal 1 binary32)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau)
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
(/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (.f32 x x) (PI.f32))
(/.f32 #s(literal 1 binary32) (PI.f32))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32))
(/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x)
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))
(.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32))
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(.f32 #s(literal 1/120 binary32) (.f32 x x))
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#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
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#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
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#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))))))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ 1 (* x (PI)))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) x)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (PI)) (* 1/120 (* (pow x 2) (pow (PI) 3))))) (/ 1 (PI))) x)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (PI)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 5))) (* 1/120 (pow (PI) 3)))))) (/ 1 (PI))) x)))
#s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) #s(hole binary32 (/ 1 (PI))))
#s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) #s(hole binary32 (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI)))))
#s(approx (* (* x x) (PI)) #s(hole binary32 (* (pow x 2) (PI))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (* x (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) x) #s(hole binary32 (/ 1 x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) x) #s(hole binary32 (/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) x) #s(hole binary32 (/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) x) #s(hole binary32 (/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) x)))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
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#s(approx (* (* (* x x) (PI)) -1/6) #s(hole binary32 (* -1/6 (* (pow x 2) (PI)))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
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#s(approx (* 1/120 (* x x)) #s(hole binary32 (* 1/120 (pow x 2))))
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#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))))
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#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (PI)))))
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#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (+ (* (* (* (* x x) (PI)) -1/6) (PI)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
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#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) #s(hole binary32 (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))
#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (* (pow tau 2) (pow (PI) 4)))))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* 1/120 (* (pow x 4) (pow (PI) 4)))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* 1/120 (pow (PI) 4)) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* 1/120 (* (pow x 2) (pow (PI) 4)))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) #s(hole binary32 (* -1 (* x (- (* 1/6 (PI)) (/ 1 (* (pow x 2) (PI))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (pow (PI) 2)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) #s(hole binary32 (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2)))))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4)))))))))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) #s(hole binary32 (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) #s(hole binary32 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
#s(approx (* 1/120 (* tau tau)) #s(hole binary32 (* 1/120 (pow tau 2))))
#s(approx (* tau tau) #s(hole binary32 (pow tau 2)))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (* (pow tau 2) (pow (PI) 2)))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))))
#s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) #s(hole binary32 (* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))
#s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) #s(hole binary32 (* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ 1 (pow tau 4)))))))
#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))

Outputs
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (*.f32 (PI.f32) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) (.f32 x tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau)))) (.f32 x (neg.f32 (.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau)) (.f32 (.f32 x x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 x (.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) (.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau)))) (.f32 (PI.f32) (neg.f32 (.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) (.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) (.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (PI.f32) x))) (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (neg.f32 (.f32 (.f32 (PI.f32) x) tau))))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (.f32 (PI.f32) x) tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau)) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 tau x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (sin.f32 (neg.f32 (.f32 (PI.f32) x)))) (.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (neg.f32 (.f32 (*.f32 (PI.f32) x) tau)) x))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (neg.f32 (.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (.f32 (PI.f32) x) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (sin.f32 (neg.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (.f32 (*.f32 (PI.f32) x) tau) x))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau))) (sin.f32 (neg.f32 (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau)) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (neg.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))) (neg.f32 (.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) tau))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))) (neg.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 (neg.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (*.f32 (PI.f32) x))))) #s(literal -2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 tau x) (PI.f32))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 (PI.f32) (.f32 x tau))
(.f32 tau (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)
(.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32))) (neg.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))))
(fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))
(fma.f32 (.f32 x x) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))))
(.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))
(.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))))
#s(literal -1/6 binary32)
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (neg.f32 (neg.f32 (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(cbrt.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))
(sqrt.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(fabs.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(fabs.f32 (*.f32 (PI.f32) (PI.f32)))
(exp.f32 (+.f32 (log.f32 (PI.f32)) (log.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)))
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (exp.f32 (log.f32 x)) (exp.f32 (log.f32 x)))
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#s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))
#s(approx (sin (* (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau)) x))
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#s(approx (* (PI) x) (*.f32 (PI.f32) x))
#s(approx x x)
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#s(approx (* x x) (*.f32 x x))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x))
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#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
#s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32)))
#s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (* (* x x) (PI)) (.f32 (.f32 x x) (PI.f32)))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x))
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#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x))) #s(literal -1/5040 binary32) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) x))
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#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x))
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#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x)) #s(literal -1/5040 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x)) #s(literal -1/5040 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
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#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
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#s(approx (sin (* (* (PI) x) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
#s(approx (sin (* (PI) x)) (sin.f32 (*.f32 (PI.f32) x)))
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#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x)))
#s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (neg.f32 (.f32 (-.f32 (.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (PI.f32)))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) x)))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 tau (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))))
#s(approx (sin (* (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)))) (.f32 tau tau) (.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)))) (.f32 tau tau) (*.f32 (PI.f32) x)))
#s(approx (/ (sin (* (* (PI) x) tau)) tau) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (.f32 (PI.f32) x)))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) #s(literal -1/6 binary32))) (.f32 tau tau) x))
#s(approx (/ (/ (sin (* (* (PI) x) tau)) tau) (PI)) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (exp.f32 (fma.f32 (log.f32 x) #s(literal 7 binary32) (.f32 (log.f32 (PI.f32)) #s(literal 6 binary32)))))) (.f32 tau tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) #s(literal -1/6 binary32))) (*.f32 tau tau) x))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)))) (.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 6 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))))
#s(approx (* 1/120 (* tau tau)) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))
#s(approx (* tau tau) (*.f32 tau tau))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau)))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau tau)))) (*.f32 tau tau)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (fma.f32 (PI.f32) (PI.f32) (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau tau))) (.f32 tau tau)))
#s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 (.f32 tau tau) (.f32 tau tau))))
#s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))))) (.f32 (.f32 tau tau) (.f32 tau tau))))
#s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau)))

eval82.0ms (1.4%)

Memory: -5.7MiB live, 79.3MiB allocated; 26ms collecting garbage
Compiler: Compiled 9 979 to 2 517 computations (74.8% saved)

prune145.0ms (2.5%)

Memory

15.2MiB live, 123.0MiB allocated; 13ms collecting garbage

Pruning

107 alts after pruning (102 fresh and 5 done)

	Pruned	Kept	Total
New	472	40	512
Fresh	11	62	73
Picked	3	2	5
Done	0	3	3
Total	486	107	593

Accuracy

99.7%

Counts

593 → 107

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.6%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
	66.5%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
	86.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32)))) (.f32 tau x)) (PI.f32))
	86.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32)))) x)
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
	86.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))) (.f32 (PI.f32) x))
	86.4%	(/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 x tau))
✓	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
✓	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau))
	86.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x))) tau)
	92.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) x) tau))
	86.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) tau) x))
	86.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	79.9%	(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
	65.9%	(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
	64.8%	(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	92.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	91.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (.f32 (PI.f32) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	72.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
	86.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)))
	86.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
	80.7%	(.f32 (/.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
	86.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
	91.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) x))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
	91.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (PI.f32)))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)))
	92.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 x tau)))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (.f32 x tau)))
	92.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
	86.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x))) (*.f32 (PI.f32) x)))
	92.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	72.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	72.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	86.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) #s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) (PI.f32)))) x))))
	86.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) #s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (neg.f32 (.f32 (-.f32 (.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (PI.f32)))) x)))))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	92.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) x) x))) (.f32 x x) #s(literal 1 binary32))))
	92.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	92.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
	92.6%	(.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 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)))))
	13.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
	86.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	95.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (.f32 x (PI.f32))))
	86.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
	72.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	92.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	80.8%	(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
	80.8%	(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
	80.6%	(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	80.6%	(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	66.0%	(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	96.9%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)))
	81.1%	(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
	84.9%	(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)))) (.f32 x x) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
	81.0%	(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
	81.1%	(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	80.8%	(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	80.9%	(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	80.8%	(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	85.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
	12.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
	81.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	87.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 tau tau)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	81.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	13.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	80.8%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	80.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
	66.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
	80.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
	66.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))))) (.f32 x x) #s(literal 1 binary32)))
	71.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
✓	66.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	66.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
	66.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
	66.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
	80.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
	80.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
	66.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
	80.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
	96.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
	94.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 x x)) tau))))
	97.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau))))
	95.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 x x)) tau))))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
	97.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))))
	92.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (.f32 (log.f32 x) #s(literal 2 binary32)))) tau))))
	91.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
	86.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
	72.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
	79.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
	80.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
	4.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
✓	65.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 6 499 to 3 215 computations (50.5% saved)

regimes184.0ms (3.2%)

Memory

3.1MiB live, 465.5MiB allocated; 54ms collecting garbage

Counts

154 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
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(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 x x)) tau))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x)) #s(literal -1/5040 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (.f32 (log.f32 x) #s(literal 2 binary32)))) tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 x x)) tau))))

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

Calls

4 calls:

46.0ms	(*.f32 x (PI.f32))
45.0ms	tau
43.0ms	(.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))))
39.0ms	x

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes214.0ms (3.7%)

Memory

-69.8MiB live, 263.2MiB allocated; 142ms collecting garbage

Counts

127 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
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(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) x) x))) (.f32 x x) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) 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 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (.f32 (PI.f32) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau)))

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

Calls

4 calls:

72.0ms	tau
51.0ms	(*.f32 x (PI.f32))
46.0ms	(.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))))
35.0ms	x

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes144.0ms (2.5%)

Memory

7.5MiB live, 290.5MiB allocated; 33ms collecting garbage

Counts

123 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
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(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)))) (.f32 x x) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (exp.f32 (.f32 (log.f32 x) #s(literal 2 binary32)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 tau tau)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)))) (.f32 tau tau) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) x) x))) (.f32 x x) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) 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 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (.f32 (PI.f32) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau))

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

Calls

4 calls:

37.0ms	tau
33.0ms	(.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))))
32.0ms	x
32.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes138.0ms (2.4%)

Memory

16.7MiB live, 269.4MiB allocated; 35ms collecting garbage

Counts

120 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
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(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) x))) tau)
(/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 x tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32)))) x)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32)))) (.f32 tau x)) (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)))) (.f32 x x) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (exp.f32 (.f32 (log.f32 x) #s(literal 2 binary32)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 tau tau)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)))) (.f32 tau tau) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) x) x))) (.f32 x x) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) 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 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (.f32 (PI.f32) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))

Outputs

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

Calls

4 calls:

36.0ms	(.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))))
35.0ms	tau
31.0ms	x
29.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes161.0ms (2.8%)

Memory

7.3MiB live, 241.6MiB allocated; 19ms collecting garbage

Counts

115 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
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(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
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(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
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(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
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(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
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(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
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(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
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(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) #s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) (PI.f32)))) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
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(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))

Outputs

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

Calls

4 calls:

50.0ms	x
44.0ms	(*.f32 x (PI.f32))
32.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
30.0ms	tau

Results

Accuracy	Segments	Branch
97.2%	1	`(*.f32 x (PI.f32))`
97.2%	1	`x`
97.2%	1	`tau`
97.2%	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)

regimes158.0ms (2.7%)

Memory

6.6MiB live, 272.9MiB allocated; 58ms 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau 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 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
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(.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 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (.f32 (PI.f32) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))

Outputs

(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))

Calls

4 calls:

43.0ms	(.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))))
37.0ms	(*.f32 x (PI.f32))
37.0ms	tau
36.0ms	x

Results

Accuracy	Segments	Branch
92.6%	1	`(*.f32 x (PI.f32))`
92.6%	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))))`
92.6%	1	`x`
92.6%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes135.0ms (2.3%)

Memory

26.0MiB live, 168.7MiB allocated; 38ms collecting garbage

Counts

112 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
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(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 tau tau)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)))) (.f32 tau tau) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) x) x))) (.f32 x x) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) 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 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (.f32 (PI.f32) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))

Outputs

(*.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 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)))))

Calls

4 calls:

41.0ms	x
31.0ms	tau
31.0ms	(*.f32 x (PI.f32))
26.0ms	(.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
92.6%	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))))`
92.6%	1	`tau`
92.6%	1	`(*.f32 x (PI.f32))`
92.6%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes138.0ms (2.4%)

Memory

-37.9MiB live, 153.9MiB allocated; 63ms collecting garbage

Counts

103 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
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(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (exp.f32 (.f32 (log.f32 x) #s(literal 2 binary32)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 tau tau)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)))) (.f32 tau tau) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) x) x))) (.f32 x x) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) x) tau))

Outputs

(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) x) x))) (*.f32 x x) #s(literal 1 binary32))))

Calls

4 calls:

51.0ms	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))))
26.0ms	(*.f32 x (PI.f32))
25.0ms	tau

Results

Accuracy	Segments	Branch
92.6%	1	`(*.f32 x (PI.f32))`
92.6%	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))))`
92.6%	1	`x`
92.6%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes107.0ms (1.8%)

Memory

5.5MiB live, 107.0MiB allocated; 11ms collecting garbage

Counts

101 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
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(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (exp.f32 (.f32 (log.f32 x) #s(literal 2 binary32)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 tau tau)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)))) (.f32 tau tau) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))

Outputs

(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32))))

Calls

4 calls:

27.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
26.0ms	(*.f32 x (PI.f32))
25.0ms	tau
24.0ms	x

Results

Accuracy	Segments	Branch
92.6%	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))))`
92.6%	1	`tau`
92.6%	1	`(*.f32 x (PI.f32))`
92.6%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes104.0ms (1.8%)

Memory

16.1MiB live, 106.3MiB allocated; 9ms collecting garbage

Counts

99 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
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(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))

Outputs

(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))

Calls

4 calls:

26.0ms	x
25.0ms	(.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))))
24.0ms	tau
24.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
92.6%	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))))`
92.6%	1	`(*.f32 x (PI.f32))`
92.6%	1	`x`
92.6%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes103.0ms (1.8%)

Memory

10.2MiB live, 110.7MiB allocated; 10ms collecting garbage

Counts

98 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau 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 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) #s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) (PI.f32)))) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x))) tau)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) #s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (neg.f32 (.f32 (-.f32 (.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (PI.f32)))) x)))))
(.f32 #s(approx (/ (sin ( x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) tau) x))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) 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 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) x))) tau)
(/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 x tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32)))) x)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32)))) (.f32 tau x)) (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)))) (.f32 x x) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (exp.f32 (.f32 (log.f32 x) #s(literal 2 binary32)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 tau tau)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)))) (.f32 tau tau) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))

Outputs

(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))

Calls

4 calls:

27.0ms	tau
25.0ms	x
24.0ms	(*.f32 x (PI.f32))
23.0ms	(.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
92.0%	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))))`
92.0%	1	`tau`
92.0%	1	`(*.f32 x (PI.f32))`
92.0%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes107.0ms (1.9%)

Memory

7.6MiB live, 94.1MiB allocated; 12ms collecting garbage

Counts

93 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
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(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) x))) tau)
(/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 x tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32)))) x)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32)))) (.f32 tau x)) (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)))) (.f32 x x) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) tau))

Outputs

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

Calls

4 calls:

34.0ms	(*.f32 x (PI.f32))
25.0ms	tau
22.0ms	x
22.0ms	(.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
87.0%	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))))`
87.0%	1	`(*.f32 x (PI.f32))`
87.0%	1	`x`
87.0%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes60.0ms (1%)

Memory

1.8MiB live, 47.5MiB allocated; 3ms collecting garbage

Counts

53 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau 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 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) #s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) (PI.f32)))) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x))) tau)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) #s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (neg.f32 (.f32 (-.f32 (.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (PI.f32)))) x)))))
(.f32 #s(approx (/ (sin ( x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Outputs

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

Calls

4 calls:

18.0ms	tau
13.0ms	x
13.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
13.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
86.4%	1	`(*.f32 x (PI.f32))`
86.4%	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))))`
86.4%	1	`x`
86.4%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes63.0ms (1.1%)

Memory

-13.9MiB live, 40.3MiB allocated; 8ms collecting garbage

Counts

46 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau 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 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) #s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) (PI.f32)))) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))

Outputs

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

Calls

4 calls:

26.0ms	(.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))))
12.0ms	tau
12.0ms	x
12.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
86.4%	1	`(*.f32 x (PI.f32))`
86.4%	1	`x`
86.4%	1	`tau`
86.4%	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)

regimes53.0ms (0.9%)

Memory

-1.7MiB live, 43.9MiB allocated; 3ms collecting garbage

Counts

45 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau 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 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) #s(approx (/ (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) x) (.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) (PI.f32)))) x))))

Outputs

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

Calls

4 calls:

17.0ms	tau
11.0ms	x
11.0ms	(*.f32 x (PI.f32))
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))))

Results

Accuracy	Segments	Branch
86.3%	1	`(*.f32 x (PI.f32))`
86.3%	1	`x`
86.3%	1	`tau`
86.3%	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))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes48.0ms (0.8%)

Memory

9.8MiB live, 55.3MiB allocated; 3ms collecting garbage

Counts

44 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) tau) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau 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 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (* tau tau)) 1) (.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))

Outputs

(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))

Calls

4 calls:

13.0ms	x
11.0ms	tau
11.0ms	(*.f32 x (PI.f32))
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))))

Results

Accuracy	Segments	Branch
81.8%	1	`tau`
81.8%	1	`(*.f32 x (PI.f32))`
81.8%	1	`x`
81.8%	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))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes54.0ms (0.9%)

Memory

-30.4MiB live, 69.8MiB allocated; 25ms collecting garbage

Counts

37 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))

Outputs

(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* (* (* (* x x) (PI)) -1/6) (PI))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))

Calls

4 calls:

20.0ms	(*.f32 x (PI.f32))
13.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
10.0ms	tau
9.0ms	x

Results

Accuracy	Segments	Branch
81.8%	1	`(*.f32 x (PI.f32))`
81.8%	1	`x`
81.8%	1	`tau`
81.8%	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))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes40.0ms (0.7%)

Memory

27.9MiB live, 74.7MiB allocated; 3ms collecting garbage

Counts

36 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 tau tau)) #s(literal -1/6 binary32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (/ (sin ( (* (PI) x) tau)) tau) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) x)) (/.f32 #s(approx (+ (* (* (* x x) (PI)) -1/6) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (* (PI) x) tau)) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) x))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
81.1%	1	`(*.f32 x (PI.f32))`
81.1%	1	`x`
81.1%	1	`tau`
81.1%	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))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes26.0ms (0.5%)

Memory

-3.1MiB live, 41.5MiB allocated; 6ms 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))

Outputs

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

Calls

4 calls:

10.0ms	x
5.0ms	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))))
5.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
80.8%	1	`(*.f32 x (PI.f32))`
80.8%	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))))`
80.8%	1	`x`
80.8%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes18.0ms (0.3%)

Memory

-16.2MiB live, 28.5MiB allocated; 5ms 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))

Outputs

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

Calls

4 calls:

8.0ms	(*.f32 x (PI.f32))
4.0ms	tau
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	x

Results

Accuracy	Segments	Branch
80.8%	1	`tau`
80.8%	1	`(*.f32 x (PI.f32))`
80.8%	1	`x`
80.8%	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))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes12.0ms (0.2%)

Memory

19.7MiB live, 19.6MiB allocated; 0ms 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
80.8%	1	`tau`
80.8%	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))))`
80.8%	1	`(*.f32 x (PI.f32))`
80.8%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes20.0ms (0.3%)

Memory

-27.9MiB live, 23.0MiB allocated; 11ms 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32))) (.f32 x x))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))

Outputs

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

Calls

4 calls:

12.0ms	tau
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))))
2.0ms	x
2.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
71.4%	1	`tau`
71.4%	1	`(*.f32 x (PI.f32))`
71.4%	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))))`
71.4%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes9.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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
66.1%	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))))`
66.1%	1	`(*.f32 x (PI.f32))`
66.1%	1	`x`
66.1%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes7.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

3 → 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))

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

Outputs

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

Calls

4 calls:

2.0ms	tau
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	(*.f32 x (PI.f32))
1.0ms	x

Results

Accuracy	Segments	Branch
66.1%	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))))`
66.1%	1	`(*.f32 x (PI.f32))`
66.1%	1	`x`
66.1%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes8.0ms (0.1%)

Memory

-33.5MiB live, 11.8MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(*.f32 x (PI.f32))
1.0ms	(.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))))
1.0ms	x
1.0ms	tau

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

derivations882.0ms (15.3%)

Memory

28.9MiB live, 850.7MiB allocated; 199ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 567 to 198 computations (65.1% saved)

preprocess201.0ms (3.5%)

Memory

-1.7MiB live, 570.5MiB allocated; 43ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 3 976 to 2 516 computations (36.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze15.0ms (0.3%)

sample984.0ms (17.1%)

preprocess54.0ms (0.9%)

series31.0ms (0.5%)

rewrite204.0ms (3.5%)

eval8.0ms (0.1%)

prune12.0ms (0.2%)

series35.0ms (0.6%)

rewrite204.0ms (3.5%)

eval41.0ms (0.7%)

prune88.0ms (1.5%)

series58.0ms (1%)

rewrite189.0ms (3.3%)

eval86.0ms (1.5%)

prune77.0ms (1.3%)

series47.0ms (0.8%)

rewrite212.0ms (3.7%)

eval82.0ms (1.4%)

prune145.0ms (2.5%)

regimes184.0ms (3.2%)

regimes214.0ms (3.7%)

regimes144.0ms (2.5%)

regimes138.0ms (2.4%)

regimes161.0ms (2.8%)

regimes158.0ms (2.7%)

regimes135.0ms (2.3%)

regimes138.0ms (2.4%)

regimes107.0ms (1.8%)

regimes104.0ms (1.8%)

regimes103.0ms (1.8%)

regimes107.0ms (1.9%)

regimes60.0ms (1%)

regimes63.0ms (1.1%)

regimes53.0ms (0.9%)

regimes48.0ms (0.8%)

regimes54.0ms (0.9%)

regimes40.0ms (0.7%)

regimes26.0ms (0.5%)

regimes18.0ms (0.3%)

regimes12.0ms (0.2%)

regimes20.0ms (0.3%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

derivations882.0ms (15.3%)

preprocess201.0ms (3.5%)

end0.0ms (0%)

Profiling