Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze21.0ms (0.4%)

Memory

-4.3MiB live, 41.6MiB allocated; 6ms 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)

sample1.4s (28.6%)

Memory

-131.2MiB live, 1 167.8MiB allocated; 993ms collecting garbage

Samples

1.2s	8 254×	0	valid
3.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 548.0ms

ival-sin: 227.0ms (41.4% of total)

ival-sinu: 134.0ms (24.5% of total)

ival-mult!: 114.0ms (20.8% of total)

ival-div!: 71.0ms (13% of total)

adjust: 2.0ms (0.4% of total)

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

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

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

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

Bogosity

preprocess114.0ms (2.3%)

Memory

-47.3MiB live, 57.3MiB allocated; 92ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	136
1	156	128
2	1234	116
3	6684	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)

series27.0ms (0.6%)

Memory

43.5MiB live, 43.5MiB allocated; 0ms 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))))
4.0ms	x	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	x	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite192.0ms (3.9%)

Memory

-25.7MiB live, 201.0MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	1276
0	273	1210
1	1053	1168
2	5484	1160
0	8024	1103

Stop Event

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

Counts

43 → 170

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

eval13.0ms (0.3%)

Memory: 28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 760 to 628 computations (77.2% saved)

prune20.0ms (0.4%)

Memory

-9.6MiB live, 35.9MiB allocated; 3ms collecting garbage

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	141	25	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	26	167

Accuracy

99.6%

Counts

167 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) (PI.f32))) (.f32 x x))
	68.8%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
▶	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
▶	98.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
	97.5%	(/.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))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32)))
	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	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)))
✓	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))))
▶	84.9%	(.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 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	91.5%	(.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 -1/6 binary32) (PI.f32)) (PI.f32) (.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))))
	85.2%	(.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
▶	97.5%	(.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)))
	77.9%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	61.8%	(.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))))
	96.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
	78.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
	77.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
▶	61.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 117 to 816 computations (26.9% saved)

series57.0ms (1.1%)

Memory

19.9MiB live, 73.2MiB allocated; 10ms collecting garbage

Counts

39 → 92

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)) tau (* (/ (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) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) tau) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x))
13.0ms	x	@	inf	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)) tau (* (/ (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) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) tau) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x))
8.0ms	x	@	0	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)) tau (* (/ (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) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) tau) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x))
6.0ms	tau	@	-inf	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)) tau (* (/ (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) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) tau) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x))
5.0ms	tau	@	inf	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)) tau (* (/ (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) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) tau) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x))

rewrite192.0ms (3.9%)

Memory

2.0MiB live, 227.2MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	652	4049
0	719	3799
1	2766	3700
0	8494	3563

Stop Event

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

Counts

131 → 865

Calls

Call 1

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

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

eval47.0ms (0.9%)

Memory: 15.4MiB live, 104.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 9 001 to 2 066 computations (77% saved)

prune68.0ms (1.4%)

Memory

-29.9MiB live, 119.4MiB allocated; 35ms collecting garbage

Pruning

73 alts after pruning (69 fresh and 4 done)

	Pruned	Kept	Total
New	488	54	542
Fresh	5	15	20
Picked	2	3	5
Done	0	1	1
Total	495	73	568

Accuracy

99.7%

Counts

568 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.7%	(/.f32 (/.f32 (.f32 (-.f32 (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (neg.f32 (PI.f32)) x) tau (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) x))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
	68.7%	(/.f32 (/.f32 (.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	96.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) (PI.f32))) (.f32 x x))
▶	96.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) tau) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
	68.8%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
	97.6%	(/.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))
	84.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
	84.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x)) (.f32 (PI.f32) tau))
	84.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (*.f32 tau x) (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	84.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
	94.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) x) x))
	96.7%	(/.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)))
	84.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
	69.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	82.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau))) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau))
	84.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
	77.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) #s(approx (sin ( (* (neg (PI)) x) tau)) (.f32 (-.f32 (.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))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (.f32 (PI.f32) (*.f32 (neg.f32 (PI.f32)) x)))
	84.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
	84.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau))
	97.6%	(/.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)))
	85.1%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
	84.8%	(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 tau x) (PI.f32))))
▶	61.2%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	76.8%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (-.f32 (.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 (neg.f32 (PI.f32)) x) tau))
	62.0%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 tau))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
	84.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) tau) (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) x))))
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	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)))
✓	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))))
✓	84.9%	(.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 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	69.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 #s(approx (+ ( (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
	84.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) #s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (.f32 x x))) (.f32 (.f32 x x) x)))) (*.f32 x (PI.f32))))
	91.5%	(.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 -1/6 binary32) (PI.f32)) (PI.f32) (.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))))
	85.2%	(.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
	84.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	84.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 (PI.f32) x)) (PI.f32)))
	84.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 (PI.f32) x)) (*.f32 tau x)))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
✓	97.5%	(.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)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (/.f32 (sin.f32 (.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
▶	78.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
	78.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
	61.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
	84.9%	(.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 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	61.9%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	84.7%	(.f32 (/.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 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	69.4%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	84.2%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	84.5%	(.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	97.5%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32))))
	96.9%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
	96.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
	84.5%	(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
▶	82.6%	(.f32 #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 #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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	78.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.2%	(.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) (.f32 (PI.f32) x)) x) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	84.5%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	69.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	77.7%	#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (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)))
	83.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
	77.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
✓	61.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 3 618 to 2 691 computations (25.6% saved)

series48.0ms (1%)

Memory

30.4MiB live, 75.7MiB allocated; 4ms collecting garbage

Counts

53 → 96

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (PI) tau x (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) (* (PI) x)) x) (* (PI) (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (PI) x)) (* (* tau x) (PI)) (* tau x) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (+ (* (* -1/6 (* (* tau tau) tau)) (* (* (PI) (* (PI) x)) x)) tau) (* -1/6 (* (* tau tau) tau)) -1/6 (* (* tau tau) tau) (* tau tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* tau tau)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* -1/6 (* x x)) (* x x) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* 1/120 (* tau tau)) 1/120 (pow (* (PI) x) 4) 4 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (/ (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) tau) (* (* (* (PI) (PI)) x) x)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) tau) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))))
8.0ms	x	@	-inf	((* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (PI) tau x (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) (* (PI) x)) x) (* (PI) (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (PI) x)) (* (* tau x) (PI)) (* tau x) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (+ (* (* -1/6 (* (* tau tau) tau)) (* (* (PI) (* (PI) x)) x)) tau) (* -1/6 (* (* tau tau) tau)) -1/6 (* (* tau tau) tau) (* tau tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* tau tau)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* -1/6 (* x x)) (* x x) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* 1/120 (* tau tau)) 1/120 (pow (* (PI) x) 4) 4 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (/ (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) tau) (* (* (* (PI) (PI)) x) x)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) tau) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))))
7.0ms	tau	@	-inf	((* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (PI) tau x (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) (* (PI) x)) x) (* (PI) (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (PI) x)) (* (* tau x) (PI)) (* tau x) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (+ (* (* -1/6 (* (* tau tau) tau)) (* (* (PI) (* (PI) x)) x)) tau) (* -1/6 (* (* tau tau) tau)) -1/6 (* (* tau tau) tau) (* tau tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* tau tau)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* -1/6 (* x x)) (* x x) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* 1/120 (* tau tau)) 1/120 (pow (* (PI) x) 4) 4 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (/ (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) tau) (* (* (* (PI) (PI)) x) x)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) tau) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))))
7.0ms	tau	@	inf	((* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (PI) tau x (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) (* (PI) x)) x) (* (PI) (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (PI) x)) (* (* tau x) (PI)) (* tau x) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (+ (* (* -1/6 (* (* tau tau) tau)) (* (* (PI) (* (PI) x)) x)) tau) (* -1/6 (* (* tau tau) tau)) -1/6 (* (* tau tau) tau) (* tau tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* tau tau)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* -1/6 (* x x)) (* x x) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* 1/120 (* tau tau)) 1/120 (pow (* (PI) x) 4) 4 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (/ (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) tau) (* (* (* (PI) (PI)) x) x)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) tau) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))))
6.0ms	x	@	0	((* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (PI) tau x (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) (* (PI) x)) x) (* (PI) (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (PI) x)) (* (* tau x) (PI)) (* tau x) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (+ (* (* -1/6 (* (* tau tau) tau)) (* (* (PI) (* (PI) x)) x)) tau) (* -1/6 (* (* tau tau) tau)) -1/6 (* (* tau tau) tau) (* tau tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* tau tau)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* -1/6 (* x x)) (* x x) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4)) (* 1/120 (* tau tau)) 1/120 (pow (* (PI) x) 4) 4 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (/ (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) tau) (* (* (* (PI) (PI)) x) x)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) tau) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))))

rewrite153.0ms (3.1%)

Memory

-3.2MiB live, 176.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	601	4102
0	684	3827
1	2442	3733
0	8237	3590

Stop Event

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

Counts

149 → 740

Calls

Call 1

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

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

eval66.0ms (1.3%)

Memory: -13.4MiB live, 127.1MiB allocated; 21ms collecting garbage
Compiler: Compiled 9 818 to 2 611 computations (73.4% saved)

prune84.0ms (1.7%)

Memory

27.1MiB live, 172.9MiB allocated; 9ms collecting garbage

Pruning

100 alts after pruning (94 fresh and 6 done)

	Pruned	Kept	Total
New	606	36	642
Fresh	6	58	64
Picked	2	3	5
Done	1	3	4
Total	615	100	715

Accuracy

99.7%

Counts

715 → 100

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.7%	(/.f32 (/.f32 (.f32 (-.f32 (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (neg.f32 (PI.f32)) x) tau (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) x))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
	68.7%	(/.f32 (/.f32 (.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	96.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) (PI.f32))) (.f32 x x))
	96.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))) tau)
✓	96.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) tau) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
	82.4%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (PI.f32)) x)
	61.1%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (PI.f32)) (.f32 (*.f32 (PI.f32) x) x))
	76.7%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	68.8%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 x tau) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
	68.8%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
	97.6%	(/.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))
	84.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
	84.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x)) (.f32 (PI.f32) tau))
	84.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (*.f32 tau x) (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	84.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
	94.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) x) x))
	84.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
	69.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 x (*.f32 (PI.f32) x)))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) x))
	82.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
▶	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau))) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau))
	84.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (.f32 (PI.f32) (*.f32 (neg.f32 (PI.f32)) x)))
	84.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
	84.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau))
	82.5%	(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
	85.1%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
	84.8%	(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 tau x) (PI.f32))))
✓	61.2%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	61.1%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	61.0%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
▶	61.0%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	76.8%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (-.f32 (.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 (neg.f32 (PI.f32)) x) tau))
	62.0%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 tau))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
	84.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) tau) (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) x))))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.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))))
	69.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	85.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
	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)))
✓	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))))
	69.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 #s(approx (+ ( (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
	84.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) #s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (.f32 x x))) (.f32 (.f32 x x) x)))) (*.f32 x (PI.f32))))
	91.5%	(.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 -1/6 binary32) (PI.f32)) (PI.f32) (.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))))
▶	85.2%	(.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
	84.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	84.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 (PI.f32) x)) (PI.f32)))
	84.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 (PI.f32) x)) (*.f32 tau x)))
▶	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
✓	97.5%	(.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)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (/.f32 (sin.f32 (.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
	78.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 (.f32 tau tau) tau) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) x tau)))
	78.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
	61.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
	82.5%	(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)))
	61.2%	(.f32 (/.f32 #s(approx ( (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) x))
	78.2%	(.f32 (/.f32 #s(approx (sin ( (* (PI) tau) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) tau) #s(literal -1/6 binary32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	61.9%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	84.7%	(.f32 (/.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 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	69.4%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	84.2%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	84.5%	(.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	82.3%	(.f32 (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))
	96.9%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
	96.7%	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
	97.6%	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
	96.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
	97.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
	78.0%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 tau tau) tau) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (.f32 (PI.f32) (.f32 x tau))))
▶	84.5%	(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	82.6%	(.f32 #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 (.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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	82.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	82.4%	(.f32 #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 #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))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)) x))
	78.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.2%	(.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) (.f32 (PI.f32) x)) x) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	78.6%	(.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))))
	78.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	82.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	13.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* tau tau)) 1) (.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	78.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin ( (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
	84.5%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	69.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	67.9%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
	77.7%	#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (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)))
	83.6%	#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	77.7%	#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	83.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
✓	61.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 5 364 to 4 005 computations (25.3% saved)

series232.0ms (4.7%)

Memory

9.3MiB live, 419.4MiB allocated; 74ms collecting garbage

Counts

52 → 116

Calls

Call 1

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

Outputs
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (- (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))))))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (- (+ (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* x (- (* -1 (/ (+ (* -1/12 (* tau (* (pow (PI) 3) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* (PI) (+ (* -1/4 (* (pow tau 3) (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (* tau (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4)))))))))) (* tau (pow (PI) 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))) (PI))) (* -1/24 (/ (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))) (PI))))))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))))))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (- (+ (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* x (- (+ (* -1 (/ (+ (* -1/12 (* tau (* (pow (PI) 3) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* (PI) (+ (* -1/4 (* (pow tau 3) (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (* tau (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4)))))))))) (* tau (pow (PI) 2)))) (* x (- (* -1 (/ (+ (* -1/6 (* (pow (PI) 3) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (+ (* -1/120 (* tau (pow (PI) 6))) (* (PI) (+ (* -1/12 (* (pow tau 3) (* (pow (PI) 2) (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3))))))) (+ (* -1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/120 (* tau (+ (* -30 (pow (PI) 5)) (+ (* -24 (pow (PI) 5)) (+ (* -20 (pow (PI) 5)) (+ (* -1 (pow (PI) 5)) (+ (* 5 (pow (PI) 5)) (+ (* 10 (pow (PI) 5)) (* 60 (pow (PI) 5)))))))))) (* 1/8 (* (pow tau 3) (* (PI) (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2)))))))))) (* tau (pow (PI) 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (* -1 (/ (+ (* -1/12 (* tau (* (pow (PI) 3) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* (PI) (+ (* -1/4 (* (pow tau 3) (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (* tau (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4)))))))))) (* tau (pow (PI) 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))) (PI))) (* -1/24 (/ (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))) (PI)))))) (PI))) (+ (* -1/6 (/ (* (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (- (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))) (PI))) (* -1/120 (/ (+ (* -30 (pow (PI) 5)) (+ (* -24 (pow (PI) 5)) (+ (* -20 (pow (PI) 5)) (+ (* -1 (pow (PI) 5)) (+ (* 5 (pow (PI) 5)) (+ (* 10 (pow (PI) 5)) (* 60 (pow (PI) 5)))))))) (PI)))))))) (+ (* -1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))) (PI))) (* -1/24 (/ (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))) (PI))))))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* -1 (* tau (* x (PI))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* 1/2 (* tau (* x (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* x (+ (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (+ (* 1/6 (* tau (pow (PI) 3))) (* 1/6 (* (pow tau 3) (pow (PI) 3))))))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* x (+ (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (+ (* 1/6 (* tau (pow (PI) 3))) (+ (* 1/6 (* (pow tau 3) (pow (PI) 3))) (* x (+ (* -1/4 (* (pow tau 3) (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (+ (* -1/12 (* tau (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (* tau (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))))))))))))))))))
#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))))
#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 x #s(hole binary32 x))
#s(approx (sin (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* x (+ (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))))))))
#s(approx (sin (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* x (+ (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (+ (* 1/6 (* (pow tau 3) (pow (PI) 3))) (* x (+ (* -1/4 (* (pow tau 3) (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (* tau (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))))))))))))))))
#s(approx (* (log (pow (exp (PI)) (neg x))) tau) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* x (+ (* 1/6 (* tau (* x (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3))))))) (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))))))))
#s(approx (* (log (pow (exp (PI)) (neg x))) tau) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* x (+ (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (+ (* 1/24 (* tau (* x (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4)))))))) (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3))))))))))))))
#s(approx (log (pow (exp (PI)) (neg x))) #s(hole binary32 (* -1 (* x (PI)))))
#s(approx (log (pow (exp (PI)) (neg x))) #s(hole binary32 (* x (+ (* -1 (PI)) (* 1/2 (* x (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))))))
#s(approx (log (pow (exp (PI)) (neg x))) #s(hole binary32 (* x (+ (* -1 (PI)) (* x (+ (* 1/6 (* x (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))
#s(approx (log (pow (exp (PI)) (neg x))) #s(hole binary32 (* x (+ (* -1 (PI)) (* x (+ (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* x (+ (* 1/24 (* x (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))))) (* 1/6 (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))))))))))
#s(approx (pow (exp (PI)) (neg x)) #s(hole binary32 (+ 1 (* -1 (* x (PI))))))
#s(approx (pow (exp (PI)) (neg x)) #s(hole binary32 (+ 1 (* x (+ (* -1 (PI)) (* 1/2 (* x (pow (PI) 2))))))))
#s(approx (pow (exp (PI)) (neg x)) #s(hole binary32 (+ 1 (* x (+ (* -1 (PI)) (* x (+ (* -1/6 (* x (pow (PI) 3))) (* 1/2 (pow (PI) 2)))))))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) 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 (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) 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 (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (pow (PI) 2)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/6 (pow (PI) 4)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6))))))))) (pow (PI) 2)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/6 (pow (PI) 4)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 8))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 8))) (* -1/5040 (pow (PI) 8))))))))))))) (pow (PI) 2)))))
#s(approx (* (* (PI) x) x) #s(hole binary32 (* (pow x 2) (PI))))
#s(approx (* (* (PI) (PI)) x) #s(hole binary32 (* x (pow (PI) 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 (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 x) #s(hole binary32 (pow x 2)))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* -1 (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2))))))))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/120 (* (pow tau 4) (pow (PI) 4))) (* -1/120 (pow (PI) 4)))))) (* -1 (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))))))))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1 (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/5040 (* (pow tau 6) (pow (PI) 6))) (+ (* 1/5040 (pow (PI) 6)) (+ (* 1/720 (* (pow tau 2) (pow (PI) 6))) (* 1/720 (* (pow tau 4) (pow (PI) 6)))))))) (* -1 (+ (* -1/36 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/120 (* (pow tau 4) (pow (PI) 4))) (* -1/120 (pow (PI) 4))))))))))))
#s(approx (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))) (* 1/6 (* (pow tau 2) (pow (PI) 2))))))))
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#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(hole binary32 -1))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (- (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) 1)))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (- (* (pow x 2) (+ (* -1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))) (* 1/6 (* (pow tau 2) (pow (PI) 2))))) 1)))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (- (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/120 (* (pow tau 4) (pow (PI) 4))) (* 1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))))))) 1)))
#s(approx (sin (* (* (neg (PI)) x) tau)) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* 1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (sin (* (* (neg (PI)) x) tau)) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* -1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (sin (* (* (neg (PI)) x) tau)) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* 1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7))))))))))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (* (* (* (* (PI) (PI)) (PI)) -1/6) x) #s(hole binary32 (* -1/6 (* x (pow (PI) 3)))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* tau x) (PI))) 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 (* (* tau x) (PI))) 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 (* (PI) x)) (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (/ 1 (* x (PI)))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (PI)) (* 1/120 (* (pow x 2) (pow (PI) 3))))) (/ 1 (PI))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) 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 (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (* -1 (/ (* (sin (* -1 (* tau (* x (PI))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (/ (* (sin (* -1 (* tau (* x (PI))))) (sin (* x (PI)))) (* 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 (sin (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (sin (* -1 (* tau (* x (PI)))))))
#s(approx (pow (exp (PI)) (neg x)) #s(hole binary32 (exp (* -1 (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau)))
#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 (+ (* (* (* (PI) (PI)) -1/6) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* (PI) (PI)) -1/6) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) #s(hole binary32 (* -1 (/ (sin (* -1 (* tau (* x (PI))))) (* tau (* x (PI)))))))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* -1 (* tau (* x (PI))))) (* tau (* x (PI))))))
#s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (/ (sin (* tau (* x (PI)))) tau)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (/ (sin (* x (PI))) (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg 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)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg 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)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg 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)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* -1 (* tau (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* tau (+ (* -1 (sin (* x (PI)))) (* 1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI)))))))))))))))
#s(approx (sin (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (* tau (+ (* -1 (* x (PI))) (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))))))
#s(approx (sin (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (* tau (+ (* -1 (* x (PI))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/6 (* (pow x 3) (pow (PI) 3)))))))))
#s(approx (sin (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (* tau (+ (* -1 (* x (PI))) (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/120 (* (pow x 5) (pow (PI) 5))) (* 1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7))))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* x (* (PI) (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* 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 (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* 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 (* (* 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 (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) #s(hole binary32 (+ 1 (* (pow tau 2) (- (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/6 (* (pow x 2) (pow (PI) 2))))))))
#s(approx (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) #s(hole binary32 (+ 1 (* (pow tau 2) (- (* (pow tau 2) (- (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* -1/120 (* (pow x 4) (pow (PI) 4))))) (* 1/6 (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (- (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/6 (* (pow x 2) (pow (PI) 2))))) 1)))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (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))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))))))) 1)))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))))
#s(approx (/ (sin (* (* tau x) (PI))) 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 (* (* tau x) (PI))) 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))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
62.0ms	x	@	inf	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (log (pow (exp (PI)) (neg x))) tau)) (* (log (pow (exp (PI)) (neg x))) tau) (log (pow (exp (PI)) (neg x))) (pow (exp (PI)) (neg x)) (exp (PI)) (neg x) tau (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (PI) (* (* (PI) x) x)) (* (* (PI) x) x) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (/ (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))) (+ (* (* (* (PI) (PI)) -1/6) (* x x)) 1) (* (* (PI) (PI)) -1/6) -1/6 (* x x) 1 (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) (sin (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (* (/ (sin (* (* tau x) (PI))) tau) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x))) (/ (sin (* (* tau x) (PI))) tau) (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)))
52.0ms	x	@	-inf	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (log (pow (exp (PI)) (neg x))) tau)) (* (log (pow (exp (PI)) (neg x))) tau) (log (pow (exp (PI)) (neg x))) (pow (exp (PI)) (neg x)) (exp (PI)) (neg x) tau (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (PI) (* (* (PI) x) x)) (* (* (PI) x) x) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (/ (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))) (+ (* (* (* (PI) (PI)) -1/6) (* x x)) 1) (* (* (PI) (PI)) -1/6) -1/6 (* x x) 1 (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) (sin (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (* (/ (sin (* (* tau x) (PI))) tau) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x))) (/ (sin (* (* tau x) (PI))) tau) (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)))
49.0ms	tau	@	0	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (log (pow (exp (PI)) (neg x))) tau)) (* (log (pow (exp (PI)) (neg x))) tau) (log (pow (exp (PI)) (neg x))) (pow (exp (PI)) (neg x)) (exp (PI)) (neg x) tau (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (PI) (* (* (PI) x) x)) (* (* (PI) x) x) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (/ (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))) (+ (* (* (* (PI) (PI)) -1/6) (* x x)) 1) (* (* (PI) (PI)) -1/6) -1/6 (* x x) 1 (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) (sin (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (* (/ (sin (* (* tau x) (PI))) tau) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x))) (/ (sin (* (* tau x) (PI))) tau) (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)))
26.0ms	tau	@	-inf	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (log (pow (exp (PI)) (neg x))) tau)) (* (log (pow (exp (PI)) (neg x))) tau) (log (pow (exp (PI)) (neg x))) (pow (exp (PI)) (neg x)) (exp (PI)) (neg x) tau (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (PI) (* (* (PI) x) x)) (* (* (PI) x) x) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (/ (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))) (+ (* (* (* (PI) (PI)) -1/6) (* x x)) 1) (* (* (PI) (PI)) -1/6) -1/6 (* x x) 1 (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) (sin (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (* (/ (sin (* (* tau x) (PI))) tau) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x))) (/ (sin (* (* tau x) (PI))) tau) (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)))
24.0ms	tau	@	inf	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (log (pow (exp (PI)) (neg x))) tau)) (* (log (pow (exp (PI)) (neg x))) tau) (log (pow (exp (PI)) (neg x))) (pow (exp (PI)) (neg x)) (exp (PI)) (neg x) tau (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (PI) (* (* (PI) x) x)) (* (* (PI) x) x) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (/ (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))) (+ (* (* (* (PI) (PI)) -1/6) (* x x)) 1) (* (* (PI) (PI)) -1/6) -1/6 (* x x) 1 (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) (sin (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (* (* (* (PI) (PI)) (PI)) -1/6) (* (* (PI) (PI)) (PI)) (* (/ (sin (* (* tau x) (PI))) tau) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x))) (/ (sin (* (* tau x) (PI))) tau) (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)))

rewrite193.0ms (3.9%)

Memory

2.2MiB live, 332.7MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	900	6357
0	984	5698
1	3862	5555
0	8226	5294

Stop Event

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

Counts

168 → 561

Calls

Call 1

Inputs
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau))) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau))
(*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau)
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x)))
(pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))
(exp.f32 (PI.f32))
(neg.f32 x)
tau
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (*.f32 (PI.f32) x) x)))
(.f32 (PI.f32) (.f32 (*.f32 (PI.f32) x) x))
(.f32 (.f32 (PI.f32) x) x)
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x)
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(*.f32 (PI.f32) (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))) (fma.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 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 x x)
#s(literal 1 binary32)
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))
(sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(.f32 (.f32 (neg.f32 (PI.f32)) x) tau)
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))
(.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)
(fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32))
(.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x)
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))
(.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (- (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))))))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (- (+ (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* x (- (* -1 (/ (+ (* -1/12 (* tau (* (pow (PI) 3) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* (PI) (+ (* -1/4 (* (pow tau 3) (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (* tau (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4)))))))))) (* tau (pow (PI) 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))) (PI))) (* -1/24 (/ (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))) (PI))))))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))))))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (- (+ (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* x (- (+ (* -1 (/ (+ (* -1/12 (* tau (* (pow (PI) 3) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* (PI) (+ (* -1/4 (* (pow tau 3) (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (* tau (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4)))))))))) (* tau (pow (PI) 2)))) (* x (- (* -1 (/ (+ (* -1/6 (* (pow (PI) 3) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (+ (* -1/120 (* tau (pow (PI) 6))) (* (PI) (+ (* -1/12 (* (pow tau 3) (* (pow (PI) 2) (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3))))))) (+ (* -1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/120 (* tau (+ (* -30 (pow (PI) 5)) (+ (* -24 (pow (PI) 5)) (+ (* -20 (pow (PI) 5)) (+ (* -1 (pow (PI) 5)) (+ (* 5 (pow (PI) 5)) (+ (* 10 (pow (PI) 5)) (* 60 (pow (PI) 5)))))))))) (* 1/8 (* (pow tau 3) (* (PI) (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2)))))))))) (* tau (pow (PI) 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (* -1 (/ (+ (* -1/12 (* tau (* (pow (PI) 3) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* (PI) (+ (* -1/4 (* (pow tau 3) (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (* tau (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4)))))))))) (* tau (pow (PI) 2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))) (PI))) (* -1/24 (/ (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))) (PI)))))) (PI))) (+ (* -1/6 (/ (* (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (- (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))) (PI))) (* -1/120 (/ (+ (* -30 (pow (PI) 5)) (+ (* -24 (pow (PI) 5)) (+ (* -20 (pow (PI) 5)) (+ (* -1 (pow (PI) 5)) (+ (* 5 (pow (PI) 5)) (+ (* 10 (pow (PI) 5)) (* 60 (pow (PI) 5)))))))) (PI)))))))) (+ (* -1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (* -1 (/ (+ (* 1/6 (* tau (pow (PI) 4))) (* (PI) (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))) (* tau (pow (PI) 2)))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))) (PI))) (* -1/24 (/ (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))) (PI))))))) (* -1/6 (/ (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))) (PI))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* -1 (* tau (* x (PI))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* 1/2 (* tau (* x (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* x (+ (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (+ (* 1/6 (* tau (pow (PI) 3))) (* 1/6 (* (pow tau 3) (pow (PI) 3))))))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* x (+ (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (+ (* 1/6 (* tau (pow (PI) 3))) (+ (* 1/6 (* (pow tau 3) (pow (PI) 3))) (* x (+ (* -1/4 (* (pow tau 3) (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (+ (* -1/12 (* tau (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (* tau (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))))))))))))))))))
#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))))
#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 x #s(hole binary32 x))
#s(approx (sin (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* x (+ (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))))))))
#s(approx (sin (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* x (+ (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (+ (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (+ (* 1/6 (* (pow tau 3) (pow (PI) 3))) (* x (+ (* -1/4 (* (pow tau 3) (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (* tau (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))))))))))))))))
#s(approx (* (log (pow (exp (PI)) (neg x))) tau) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* x (+ (* 1/6 (* tau (* x (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3))))))) (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))))))))
#s(approx (* (log (pow (exp (PI)) (neg x))) tau) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* x (+ (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (+ (* 1/24 (* tau (* x (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4)))))))) (* 1/6 (* tau (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3))))))))))))))
#s(approx (log (pow (exp (PI)) (neg x))) #s(hole binary32 (* -1 (* x (PI)))))
#s(approx (log (pow (exp (PI)) (neg x))) #s(hole binary32 (* x (+ (* -1 (PI)) (* 1/2 (* x (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))))))
#s(approx (log (pow (exp (PI)) (neg x))) #s(hole binary32 (* x (+ (* -1 (PI)) (* x (+ (* 1/6 (* x (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))) (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))
#s(approx (log (pow (exp (PI)) (neg x))) #s(hole binary32 (* x (+ (* -1 (PI)) (* x (+ (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* x (+ (* 1/24 (* x (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))))) (* 1/6 (+ (* -2 (pow (PI) 3)) (+ (* -1 (pow (PI) 3)) (* 3 (pow (PI) 3)))))))))))))
#s(approx (pow (exp (PI)) (neg x)) #s(hole binary32 (+ 1 (* -1 (* x (PI))))))
#s(approx (pow (exp (PI)) (neg x)) #s(hole binary32 (+ 1 (* x (+ (* -1 (PI)) (* 1/2 (* x (pow (PI) 2))))))))
#s(approx (pow (exp (PI)) (neg x)) #s(hole binary32 (+ 1 (* x (+ (* -1 (PI)) (* x (+ (* -1/6 (* x (pow (PI) 3))) (* 1/2 (pow (PI) 2)))))))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) 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 (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) 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 (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (pow (PI) 2)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/6 (pow (PI) 4)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6))))))))) (pow (PI) 2)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/6 (pow (PI) 4)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 8))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 8))) (* -1/5040 (pow (PI) 8))))))))))))) (pow (PI) 2)))))
#s(approx (* (* (PI) x) x) #s(hole binary32 (* (pow x 2) (PI))))
#s(approx (* (* (PI) (PI)) x) #s(hole binary32 (* x (pow (PI) 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 (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 x) #s(hole binary32 (pow x 2)))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* -1 (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2))))))))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/120 (* (pow tau 4) (pow (PI) 4))) (* -1/120 (pow (PI) 4)))))) (* -1 (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))))))))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1 (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/5040 (* (pow tau 6) (pow (PI) 6))) (+ (* 1/5040 (pow (PI) 6)) (+ (* 1/720 (* (pow tau 2) (pow (PI) 6))) (* 1/720 (* (pow tau 4) (pow (PI) 6)))))))) (* -1 (+ (* -1/36 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/120 (* (pow tau 4) (pow (PI) 4))) (* -1/120 (pow (PI) 4))))))))))))
#s(approx (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))) (* 1/6 (* (pow tau 2) (pow (PI) 2))))))))
#s(approx (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* -1/120 (* (pow tau 4) (pow (PI) 4))))) (* 1/6 (* (pow tau 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(hole binary32 -1))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (- (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) 1)))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (- (* (pow x 2) (+ (* -1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))) (* 1/6 (* (pow tau 2) (pow (PI) 2))))) 1)))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (- (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/120 (* (pow tau 4) (pow (PI) 4))) (* 1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))))))) 1)))
#s(approx (sin (* (* (neg (PI)) x) tau)) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* 1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (sin (* (* (neg (PI)) x) tau)) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* -1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (sin (* (* (neg (PI)) x) tau)) #s(hole binary32 (* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* 1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7))))))))))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (* (* (* (* (PI) (PI)) (PI)) -1/6) x) #s(hole binary32 (* -1/6 (* x (pow (PI) 3)))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* tau x) (PI))) 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 (* (* tau x) (PI))) 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 (* (PI) x)) (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (/ 1 (* x (PI)))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (PI)) (* 1/120 (* (pow x 2) (pow (PI) 3))))) (/ 1 (PI))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) 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 (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (* -1 (/ (* (sin (* -1 (* tau (* x (PI))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (/ (* (sin (* -1 (* tau (* x (PI))))) (sin (* x (PI)))) (* 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 (sin (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (sin (* -1 (* tau (* x (PI)))))))
#s(approx (pow (exp (PI)) (neg x)) #s(hole binary32 (exp (* -1 (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau)))
#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 (+ (* (* (* (PI) (PI)) -1/6) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* (PI) (PI)) -1/6) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) #s(hole binary32 (* -1 (/ (sin (* -1 (* tau (* x (PI))))) (* tau (* x (PI)))))))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* -1 (* tau (* x (PI))))) (* tau (* x (PI))))))
#s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (/ (sin (* tau (* x (PI)))) tau)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (/ (sin (* x (PI))) (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg 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)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg 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)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg 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)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* -1 (* tau (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* tau (+ (* -1 (sin (* x (PI)))) (* 1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) #s(hole binary32 (* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI)))))))))))))))
#s(approx (sin (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (* tau (+ (* -1 (* x (PI))) (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))))))
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#s(approx (sin (* (log (pow (exp (PI)) (neg x))) tau)) #s(hole binary32 (* tau (+ (* -1 (* x (PI))) (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/120 (* (pow x 5) (pow (PI) 5))) (* 1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7))))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* x (* (PI) (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* 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 (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* 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 (* (* 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 (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) #s(hole binary32 (+ 1 (* (pow tau 2) (- (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/6 (* (pow x 2) (pow (PI) 2))))))))
#s(approx (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) #s(hole binary32 (+ 1 (* (pow tau 2) (- (* (pow tau 2) (- (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* -1/120 (* (pow x 4) (pow (PI) 4))))) (* 1/6 (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(hole binary32 (- (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/6 (* (pow x 2) (pow (PI) 2))))) 1)))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (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))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))))))) 1)))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))))
#s(approx (/ (sin (* (* tau x) (PI))) 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 (* (* tau x) (PI))) 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))))))))))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (.f32 (neg.f32 x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (.f32 (neg.f32 x) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (neg.f32 x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) tau))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 (neg.f32 x) (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) tau) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (neg.f32 x) (PI.f32))))
(.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))))
(.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (.f32 (PI.f32) (.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (.f32 x (.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (neg.f32 x) (PI.f32)))) (neg.f32 tau))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (.f32 (*.f32 (neg.f32 x) (PI.f32)) tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (neg.f32 x) (PI.f32))) tau)
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))) (neg.f32 (.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (neg.f32 x) (PI.f32)) tau))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) x))
(.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) x))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (neg.f32 (.f32 (neg.f32 x) (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (.f32 (neg.f32 x) (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))
(log.f32 (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (PI.f32))) tau))
(.f32 (.f32 (neg.f32 x) (PI.f32)) tau)
(.f32 (neg.f32 (PI.f32)) (.f32 tau x))
(.f32 tau (.f32 (neg.f32 x) (PI.f32)))
(log.f32 (exp.f32 (*.f32 (neg.f32 x) (PI.f32))))
(.f32 #s(literal -1 binary32) (.f32 (PI.f32) x))
(*.f32 (neg.f32 x) (PI.f32))
(*.f32 (neg.f32 (PI.f32)) x)
(.f32 (.f32 (PI.f32) x) #s(literal -1 binary32))
(*.f32 (PI.f32) (neg.f32 x))
(*.f32 x (neg.f32 (PI.f32)))
(neg.f32 (*.f32 (PI.f32) x))
(sqrt.f32 (.f32 (exp.f32 (.f32 (neg.f32 x) (PI.f32))) (exp.f32 (*.f32 (neg.f32 x) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (PI.f32) x)))
(-.f32 (cosh.f32 (.f32 (PI.f32) x)) (neg.f32 (sinh.f32 (.f32 (neg.f32 x) (PI.f32)))))
(-.f32 (cosh.f32 (.f32 (PI.f32) x)) (sinh.f32 (.f32 (PI.f32) x)))
(pow.f32 (exp.f32 (neg.f32 x)) (PI.f32))
(pow.f32 (exp.f32 (*.f32 (PI.f32) x)) #s(literal -1 binary32))
(pow.f32 (exp.f32 x) (neg.f32 (PI.f32)))
(pow.f32 (exp.f32 (neg.f32 (PI.f32))) x)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) x))
(pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))
(+.f32 (cosh.f32 (.f32 (PI.f32) x)) (sinh.f32 (.f32 (neg.f32 x) (PI.f32))))
(fabs.f32 (neg.f32 (exp.f32 (*.f32 (neg.f32 x) (PI.f32)))))
(fabs.f32 (exp.f32 (*.f32 (neg.f32 x) (PI.f32))))
(exp.f32 (*.f32 (neg.f32 x) (PI.f32)))
(sqrt.f32 (*.f32 (exp.f32 (PI.f32)) (exp.f32 (PI.f32))))
(-.f32 (cosh.f32 (PI.f32)) (neg.f32 (sinh.f32 (PI.f32))))
(pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32)))
(fabs.f32 (neg.f32 (exp.f32 (PI.f32))))
(fabs.f32 (exp.f32 (PI.f32)))
(exp.f32 (PI.f32))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
tau
(.f32 (/.f32 #s(approx ( (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) x))
(.f32 (neg.f32 #s(approx ( (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
(.f32 #s(approx ( (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))))
(/.f32 (neg.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))))) (neg.f32 (neg.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)
(/.f32 (neg.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))) (neg.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 (.f32 x x) (PI.f32))))
(.f32 (.f32 (fabs.f32 (PI.f32)) (fabs.f32 x)) (*.f32 (fabs.f32 (PI.f32)) (fabs.f32 x)))
(.f32 (.f32 (neg.f32 (PI.f32)) (fabs.f32 x)) (*.f32 (neg.f32 (PI.f32)) (fabs.f32 x)))
(.f32 (.f32 (PI.f32) (fabs.f32 x)) (*.f32 (PI.f32) (fabs.f32 x)))
(.f32 (.f32 (fabs.f32 (PI.f32)) (neg.f32 x)) (*.f32 (fabs.f32 (PI.f32)) (neg.f32 x)))
(.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 x)) (*.f32 (neg.f32 (PI.f32)) (neg.f32 x)))
(.f32 (.f32 (fabs.f32 (PI.f32)) x) (*.f32 (fabs.f32 (PI.f32)) x))
(.f32 (.f32 (fabs.f32 x) (fabs.f32 (PI.f32))) (*.f32 (fabs.f32 x) (fabs.f32 (PI.f32))))
(.f32 (.f32 (neg.f32 x) (fabs.f32 (PI.f32))) (*.f32 (neg.f32 x) (fabs.f32 (PI.f32))))
(.f32 (.f32 x (fabs.f32 (PI.f32))) (*.f32 x (fabs.f32 (PI.f32))))
(.f32 (.f32 (fabs.f32 x) (neg.f32 (PI.f32))) (*.f32 (fabs.f32 x) (neg.f32 (PI.f32))))
(.f32 (.f32 (neg.f32 x) (neg.f32 (PI.f32))) (*.f32 (neg.f32 x) (neg.f32 (PI.f32))))
(.f32 (.f32 (fabs.f32 x) (PI.f32)) (*.f32 (fabs.f32 x) (PI.f32)))
(.f32 (.f32 (neg.f32 x) (PI.f32)) (*.f32 (neg.f32 x) (PI.f32)))
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x)
(.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32)))
(.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) x))
(pow.f32 (fabs.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (fabs.f32 (PI.f32)) (fabs.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (PI.f32)) (fabs.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (fabs.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (fabs.f32 (PI.f32)) (neg.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (fabs.f32 (PI.f32)) x) #s(literal 2 binary32))
(pow.f32 (*.f32 (fabs.f32 x) (fabs.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 x) (fabs.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (*.f32 x (fabs.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (fabs.f32 x) (neg.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 x) (neg.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (fabs.f32 x) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 x) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(fabs.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x x)))
(.f32 (.f32 x x) (PI.f32))
(.f32 (.f32 (PI.f32) x) x)
(.f32 (PI.f32) (.f32 x x))
(.f32 x (.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 (.f32 x x) (PI.f32))))
(.f32 (.f32 (fabs.f32 (PI.f32)) (fabs.f32 x)) (*.f32 (fabs.f32 (PI.f32)) (fabs.f32 x)))
(.f32 (.f32 (neg.f32 (PI.f32)) (fabs.f32 x)) (*.f32 (neg.f32 (PI.f32)) (fabs.f32 x)))
(.f32 (.f32 (PI.f32) (fabs.f32 x)) (*.f32 (PI.f32) (fabs.f32 x)))
(.f32 (.f32 (fabs.f32 (PI.f32)) (neg.f32 x)) (*.f32 (fabs.f32 (PI.f32)) (neg.f32 x)))
(.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 x)) (*.f32 (neg.f32 (PI.f32)) (neg.f32 x)))
(.f32 (.f32 (fabs.f32 (PI.f32)) x) (*.f32 (fabs.f32 (PI.f32)) x))
(.f32 (.f32 (fabs.f32 x) (fabs.f32 (PI.f32))) (*.f32 (fabs.f32 x) (fabs.f32 (PI.f32))))
(.f32 (.f32 (neg.f32 x) (fabs.f32 (PI.f32))) (*.f32 (neg.f32 x) (fabs.f32 (PI.f32))))
(.f32 (.f32 x (fabs.f32 (PI.f32))) (*.f32 x (fabs.f32 (PI.f32))))
(.f32 (.f32 (fabs.f32 x) (neg.f32 (PI.f32))) (*.f32 (fabs.f32 x) (neg.f32 (PI.f32))))
(.f32 (.f32 (neg.f32 x) (neg.f32 (PI.f32))) (*.f32 (neg.f32 x) (neg.f32 (PI.f32))))
(.f32 (.f32 (fabs.f32 x) (PI.f32)) (*.f32 (fabs.f32 x) (PI.f32)))
(.f32 (.f32 (neg.f32 x) (PI.f32)) (*.f32 (neg.f32 x) (PI.f32)))
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x)
(.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32)))
(.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) x))
(pow.f32 (fabs.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (fabs.f32 (PI.f32)) (fabs.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (PI.f32)) (fabs.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (fabs.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (fabs.f32 (PI.f32)) (neg.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (fabs.f32 (PI.f32)) x) #s(literal 2 binary32))
(pow.f32 (*.f32 (fabs.f32 x) (fabs.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 x) (fabs.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (*.f32 x (fabs.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (fabs.f32 x) (neg.f32 (PI.f32))) #s(literal 2 binary32))
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#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
#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))
#s(approx (sin (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32)))) (*.f32 x x) (PI.f32)) x))
#s(approx (sin (* (PI) x)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 x x)) #s(literal -1/5040 binary32) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32)))) (*.f32 x x) (PI.f32)) x))
#s(approx x x)
#s(approx (sin (* (* (neg (PI)) x) tau)) (.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2 binary32))) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) x (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) tau) #s(literal 1/2 binary32))) x) (.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* (neg (PI)) x) tau)) (.f32 (-.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2 binary32))) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) tau)) #s(literal -1/4 binary32) (.f32 (.f32 #s(literal 1/24 binary32) tau) (fma.f32 #s(literal -6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))))))) x)) x (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) tau) #s(literal 1/2 binary32))) x) (.f32 (PI.f32) tau)) x))
#s(approx (* (log (pow (exp (PI)) (neg x))) tau) (.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2 binary32))) x) (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) tau) #s(literal 1/2 binary32))) x) (.f32 (PI.f32) tau)) x))
#s(approx (* (log (pow (exp (PI)) (neg x))) tau) (.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) tau) (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 (.f32 tau x) (fma.f32 #s(literal -6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))) #s(literal 1/24 binary32))) x)) x) (*.f32 (PI.f32) tau)) x))
#s(approx (log (pow (exp (PI)) (neg x))) (*.f32 (neg.f32 x) (PI.f32)))
#s(approx (log (pow (exp (PI)) (neg x))) (.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/2 binary32)) (PI.f32)) x))
#s(approx (log (pow (exp (PI)) (neg x))) (.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) x) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x) (PI.f32)) x))
#s(approx (log (pow (exp (PI)) (neg x))) (.f32 (-.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/24 binary32) x) (fma.f32 #s(literal -6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2 binary32))) #s(literal 1/6 binary32))) x (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x) (PI.f32)) x))
#s(approx (pow (exp (PI)) (neg x)) (-.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
#s(approx (pow (exp (PI)) (neg x)) (fma.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) x #s(literal 1 binary32)))
#s(approx (pow (exp (PI)) (neg x)) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) x) (PI.f32)) x #s(literal 1 binary32)))
#s(approx (neg x) (neg.f32 x))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.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 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.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 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (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 (.f32 tau tau) (pow.f32 (PI.f32) #s(literal 6 binary32))) #s(literal -1/720 binary32) (fma.f32 (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) #s(literal -1/720 binary32) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (.f32 x x))))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 x x))) (.f32 x x) (.f32 (PI.f32) (PI.f32))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32))) (.f32 (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 8 binary32))))) (.f32 x x))))) (.f32 x x))) (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))
#s(approx (* (* (PI) x) x) (.f32 (.f32 x x) (PI.f32)))
#s(approx (* (* (PI) (PI)) x) (.f32 (.f32 (PI.f32) (PI.f32)) x))
#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) (pow.f32 tau #s(literal 4 binary32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 (.f32 tau tau) (.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 -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 x x)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) tau))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 tau tau) tau)) #s(literal -1/6 binary32) (*.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 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x)))) (.f32 x x))) 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 #s(literal 1/120 binary32) (pow.f32 (.f32 (PI.f32) tau) #s(literal 5 binary32)))) (.f32 x x))) (*.f32 x x))) x))
#s(approx (* x x) (*.f32 x x))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x))))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (neg.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/120 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (.f32 x x) (.f32 #s(literal 1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal 1/5040 binary32) (pow.f32 (.f32 (PI.f32) tau) #s(literal 6 binary32)) (fma.f32 #s(literal 1/720 binary32) (fma.f32 (.f32 tau tau) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 x x) (fma.f32 (.f32 #s(literal -1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/120 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x x)) (.f32 #s(literal 1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 x x)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(literal -1 binary32))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) (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 (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) (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) (pow.f32 tau #s(literal 4 binary32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)))) (*.f32 x x) #s(literal -1 binary32)))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 x x)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal -1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal -1 binary32)))
#s(approx (sin (* (* (neg (PI)) x) tau)) (.f32 (-.f32 (.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 (* (* (neg (PI)) x) tau)) (.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal -1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x)))) (.f32 x x)) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* (neg (PI)) x) tau)) (.f32 (-.f32 (.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)) (.f32 (PI.f32) tau)) x))
#s(approx (* tau x) (*.f32 tau x))
#s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (PI.f32))
#s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)))
#s(approx (* (* (* (* (PI) (PI)) (PI)) -1/6) x) (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) (.f32 (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 x x) (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal -1/6 binary32) (PI.f32)) x))
#s(approx (/ (sin (* (* tau x) (PI))) tau) (.f32 (fma.f32 (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x)))) (.f32 x x) (PI.f32)) x))
#s(approx (/ (sin (* (* tau x) (PI))) tau) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 x x)) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (PI.f32) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x)) #s(literal -1/5040 binary32) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) (neg.f32 (.f32 (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (.f32 (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#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)))
#s(approx (sin (* (* (neg (PI)) x) tau)) (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau))))
#s(approx (pow (exp (PI)) (neg x)) (exp.f32 (*.f32 (neg.f32 x) (PI.f32))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) 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 (+ (* (* (* (PI) (PI)) -1/6) (* x x)) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)))
#s(approx (+ (* (* (* (PI) (PI)) -1/6) (* x x)) 1) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) tau))))
#s(approx (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) (/.f32 (sin.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) tau)))
#s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))
#s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (.f32 x x))) (.f32 (.f32 x x) x)))
#s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (.f32 (.f32 (.f32 x x) (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)))
#s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (.f32 x x))) (*.f32 x x)))
#s(approx (/ (sin (* (* tau x) (PI))) tau) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))))
#s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (neg.f32 (.f32 (-.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 (PI.f32) (.f32 x x))) (.f32 (*.f32 x x) x))))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg 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)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg x))) tau)) (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 (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (* (log (pow (exp (PI)) (neg 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 1/120 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)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)))
#s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (.f32 (-.f32 (.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)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (.f32 (-.f32 (.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 #s(literal 1/6 binary32) (.f32 x x)) (.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)) (* (PI) x)) (sin (* (log (pow (exp (PI)) (neg x))) tau))) (.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 x x)) (.f32 (.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 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 tau tau)) (sin.f32 (.f32 (PI.f32) x))) tau))
#s(approx (sin (* (* (neg (PI)) x) tau)) (.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal 1/6 binary32)) (.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (neg (PI)) x) tau)) (.f32 (-.f32 (.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 (* (* (neg (PI)) x) tau)) (.f32 (-.f32 (.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 (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (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)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 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 -1/6 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 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (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 (* (* 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 1/120 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 (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (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 (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (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 (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) (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 (* (* (neg (PI)) x) tau)) (* (* tau x) (PI))) (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 (* (* tau x) (PI))) 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 (* (* 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 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)))
#s(approx (/ (sin (* (* tau x) (PI))) 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)))

eval69.0ms (1.4%)

Memory: 13.0MiB live, 155.0MiB allocated; 34ms collecting garbage
Compiler: Compiled 10 575 to 2 526 computations (76.1% saved)

prune135.0ms (2.7%)

Memory

-9.9MiB live, 220.4MiB allocated; 59ms collecting garbage

Pruning

106 alts after pruning (98 fresh and 8 done)

	Pruned	Kept	Total
New	518	38	556
Fresh	29	60	89
Picked	2	3	5
Done	1	5	6
Total	550	106	656

Accuracy

99.7%

Counts

656 → 106

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.7%	(/.f32 (/.f32 (.f32 (-.f32 (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (neg.f32 (PI.f32)) x) tau (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) x))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
	96.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))) tau)
✓	96.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) tau) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
	61.1%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (PI.f32)) (.f32 (*.f32 (PI.f32) x) x))
	68.8%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 x tau) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
	68.8%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
	97.6%	(/.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))
	84.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
	84.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (*.f32 tau x) (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	84.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
	69.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 x (*.f32 (PI.f32) x)))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) x))
	82.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
✓	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau))) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau))
	84.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) x)
	84.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	68.7%	(/.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 1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
	85.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau))
	82.5%	(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
	84.9%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) x) x (PI.f32)) x)) (sin.f32 (neg.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 (PI.f32) x) tau)))
	84.8%	(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 tau x) (PI.f32))))
	61.0%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
✓	61.2%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	61.1%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	61.0%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
	61.1%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
	76.8%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (-.f32 (.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 (neg.f32 (PI.f32)) x) tau))
	62.0%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 tau))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
	96.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x x) (PI.f32))))
	84.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)))
	96.6%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 x x) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))
	84.5%	(.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
	84.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32))) (.f32 tau x)))
	84.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.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))))
	69.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	85.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
	69.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 #s(approx (+ ( (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
	91.5%	(.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 -1/6 binary32) (PI.f32)) (PI.f32) (.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))))
	85.2%	(.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)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
	85.2%	(.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x) #s(literal -1 binary32))))
	84.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #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))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
	84.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	85.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	84.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 (PI.f32) x)) (PI.f32)))
	94.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) x) x)))
✓	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
	84.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) 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 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)))
	69.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)))
	90.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	84.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (PI.f32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	69.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
✓	97.5%	(.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)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (/.f32 (sin.f32 (.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
	78.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 (.f32 tau tau) tau) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) x tau)))
	61.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
	61.2%	(.f32 (/.f32 #s(approx ( (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) x))
	78.2%	(.f32 (/.f32 #s(approx (sin ( (* (PI) tau) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) tau) #s(literal -1/6 binary32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.6%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 tau tau) tau)) #s(literal -1/6 binary32) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	77.9%	(.f32 (/.f32 #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)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	62.1%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	61.9%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	84.7%	(.f32 (/.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 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	69.4%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	84.4%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	84.9%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	85.1%	(.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	96.6%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
	96.9%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
	97.6%	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
	96.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
	97.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
	84.3%	(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) x) x (PI.f32)) x)) x) (PI.f32)))
✓	84.5%	(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	69.3%	(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 #s(approx (+ ( (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
	62.1%	(.f32 (neg.f32 #s(approx (/ (sin ( (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(literal -1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	82.6%	(.f32 #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 (.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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	82.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	83.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 (.f32 tau tau) (.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 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	83.0%	(.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 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	78.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.2%	(.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) (.f32 (PI.f32) x)) x) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	78.5%	(.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))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	78.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	13.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* tau tau)) 1) (.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
	78.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin ( (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
	84.5%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	69.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	67.9%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
	77.7%	#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	77.7%	#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (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)))
	77.7%	#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	83.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
✓	61.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
	77.7%	#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x))))

Compiler

Compiled 5 587 to 2 815 computations (49.6% saved)

regimes155.0ms (3.1%)

Memory

20.7MiB live, 245.6MiB allocated; 22ms 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))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (PI.f32)) (.f32 (*.f32 (PI.f32) x) x))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (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 (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx ( (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) x))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
(.f32 (neg.f32 #s(approx (/ (sin ( (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(literal -1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.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 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.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 x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin ( (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.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) (.f32 (PI.f32) x)) x) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 tau))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (-.f32 (.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 (neg.f32 (PI.f32)) x) tau))
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(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 #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))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)) x))
(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (PI.f32)) x)
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) #s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (.f32 x x))) (.f32 (.f32 x x) x)))) (*.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))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.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 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) tau) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) tau) #s(literal -1/6 binary32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) #s(approx (sin ( (* (neg (PI)) x) tau)) (.f32 (-.f32 (.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))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.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) (.f32 (PI.f32) x)) x) tau)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))) (sin.f32 (.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 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) 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))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 x (*.f32 (PI.f32) x)))
(/.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 (/.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 (/.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 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) tau) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))) tau)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x x) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) x))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) (PI.f32))) (.f32 x x))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) tau) (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (.f32 (PI.f32) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (/.f32 (sin.f32 (.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 x x) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 x tau) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (.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 1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)))
(/.f32 (/.f32 (.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 (/.f32 (.f32 (-.f32 (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (neg.f32 (PI.f32)) x) tau (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) x))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) x) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) x) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau))) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 x))) tau))

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

Calls

4 calls:

41.0ms	(.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))))
38.0ms	(*.f32 x (PI.f32))
35.0ms	tau
35.0ms	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)

regimes126.0ms (2.6%)

Memory

-3.0MiB live, 185.4MiB allocated; 25ms 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))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
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(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (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 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.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 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 (PI.f32) x)) (*.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x)) (.f32 (PI.f32) tau))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) x) x (PI.f32)) x)) (sin.f32 (neg.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x)))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 #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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 (.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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) x) x (PI.f32)) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 #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))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)) x))
(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (PI.f32)) x)
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) #s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (.f32 x x))) (.f32 (.f32 x x) x)))) (*.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))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.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 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) tau) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) tau) #s(literal -1/6 binary32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) #s(approx (sin ( (* (neg (PI)) x) tau)) (.f32 (-.f32 (.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))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.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) (.f32 (PI.f32) x)) x) tau)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))) (sin.f32 (.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 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) 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))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) 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:

33.0ms	x
30.0ms	(*.f32 x (PI.f32))
29.0ms	(.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))))
29.0ms	tau

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes158.0ms (3.2%)

Memory

0.7MiB live, 171.6MiB allocated; 127ms collecting garbage

Counts

108 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
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(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 (PI.f32) x)) (*.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x)) (.f32 (PI.f32) tau))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) x) x (PI.f32)) x)) (sin.f32 (neg.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x)))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 #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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 (.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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) x) x (PI.f32)) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 #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))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)) x))
(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (PI.f32)) x)
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) #s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (.f32 x x))) (.f32 (.f32 x x) x)))) (*.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))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.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 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) tau) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) tau) #s(literal -1/6 binary32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) #s(approx (sin ( (* (neg (PI)) x) tau)) (.f32 (-.f32 (.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))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.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) (.f32 (PI.f32) x)) x) tau)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))

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

Calls

4 calls:

73.0ms	x
29.0ms	(*.f32 x (PI.f32))
28.0ms	tau
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
97.6%	1	`(*.f32 x (PI.f32))`
97.6%	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))))`
97.6%	1	`x`
97.6%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes123.0ms (2.5%)

Memory

-30.5MiB live, 160.3MiB allocated; 20ms 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))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (PI.f32)) (.f32 (*.f32 (PI.f32) x) x))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (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 (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx ( (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) x))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
(.f32 (neg.f32 #s(approx (/ (sin ( (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(literal -1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
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(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) x) x (PI.f32)) x)) (sin.f32 (neg.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x)))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 #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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 (.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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) x) x (PI.f32)) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 #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))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)) x))
(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (PI.f32)) x)
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) #s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (.f32 x x))) (.f32 (.f32 x x) x)))) (*.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))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.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 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) tau) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) tau) #s(literal -1/6 binary32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) #s(approx (sin ( (* (neg (PI)) x) tau)) (.f32 (-.f32 (.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))) (.f32 (.f32 (neg.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 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.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))))

Calls

4 calls:

41.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
27.0ms	tau
26.0ms	x
24.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
91.5%	1	`(*.f32 x (PI.f32))`
91.5%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
91.5%	1	`x`
91.5%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes99.0ms (2%)

Memory

8.3MiB live, 149.3MiB allocated; 14ms collecting garbage

Counts

97 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (PI.f32)) (.f32 (*.f32 (PI.f32) x) x))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (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 (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx ( (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) x))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
(.f32 (neg.f32 #s(approx (/ (sin ( (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(literal -1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.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 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.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 x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin ( (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.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) (.f32 (PI.f32) x)) x) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 tau))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
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(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) x) x (PI.f32)) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 #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))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)) x))
(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) x) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (PI.f32)) x)
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) #s(approx (* (+ (* (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) x) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (.f32 x x))) (.f32 (.f32 x x) x)))) (*.f32 x (PI.f32))))

Outputs

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

Calls

4 calls:

26.0ms	(*.f32 x (PI.f32))
24.0ms	x
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))))
22.0ms	tau

Results

Accuracy	Segments	Branch
90.6%	1	`(*.f32 x (PI.f32))`
90.6%	1	`x`
90.6%	1	`tau`
90.6%	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))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes86.0ms (1.7%)

Memory

21.1MiB live, 113.0MiB allocated; 5ms collecting garbage

Counts

87 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (PI.f32)) (.f32 (*.f32 (PI.f32) x) x))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (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 (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx ( (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) x))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
(.f32 (neg.f32 #s(approx (/ (sin ( (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(literal -1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.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 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.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 x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin ( (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.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) (.f32 (PI.f32) x)) x) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 tau))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (-.f32 (.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 (neg.f32 (PI.f32)) x) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* tau tau)) 1) (.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 #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)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 tau tau) tau)) #s(literal -1/6 binary32) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.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 #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 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 #s(approx (+ ( (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 #s(approx (+ ( (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (PI.f32) (/.f32 #s(literal 1 binary32) (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 (PI.f32) (PI.f32)) (.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 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (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 (.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 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.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 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.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 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x) #s(literal -1 binary32))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.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 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32))) (.f32 tau x)))
(.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) 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 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (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 (PI.f32) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.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)) tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.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)) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 tau tau) tau) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 (.f32 tau tau) tau) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (.f32 (fma.f32 (.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 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x))) (*.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) (pow.f32 tau #s(literal 4 binary32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 (.f32 tau tau) (.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 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 tau x) (PI.f32))))
(.f32 (/.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 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.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 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) 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 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (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 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.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 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 (PI.f32) x)) (*.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) x)) (.f32 (PI.f32) tau))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) x) x (PI.f32)) x)) (sin.f32 (neg.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x)))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 #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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #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 (.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))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x))) (.f32 (PI.f32) x))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) x) x (PI.f32)) x)) x) (PI.f32)))

Outputs

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

Calls

4 calls:

23.0ms	(*.f32 x (PI.f32))
21.0ms	tau
19.0ms	x
19.0ms	(.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
85.2%	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))))`
85.2%	1	`(*.f32 x (PI.f32))`
85.2%	1	`x`
85.2%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes57.0ms (1.2%)

Memory

-21.4MiB live, 72.3MiB allocated; 11ms collecting garbage

Counts

43 → 1

Calls

Call 1

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

Calls

4 calls:

19.0ms	(.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))))
16.0ms	(*.f32 x (PI.f32))
10.0ms	x
10.0ms	tau

Results

Accuracy	Segments	Branch
85.2%	1	`(*.f32 x (PI.f32))`
85.2%	1	`x`
85.2%	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))))`
85.2%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes45.0ms (0.9%)

Memory

-3.1MiB live, 87.6MiB allocated; 5ms collecting garbage

Counts

42 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.2%	1	`(*.f32 x (PI.f32))`
85.2%	1	`x`
85.2%	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))))`
85.2%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes42.0ms (0.8%)

Memory

42.1MiB live, 88.2MiB allocated; 2ms collecting garbage

Counts

41 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.2%	1	`(*.f32 x (PI.f32))`
85.2%	1	`x`
85.2%	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))))`
85.2%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes52.0ms (1.1%)

Memory

-21.0MiB live, 76.6MiB allocated; 19ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

Calls

4 calls:

16.0ms	tau
15.0ms	(*.f32 x (PI.f32))
9.0ms	x
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))))

Results

Accuracy	Segments	Branch
84.3%	1	`(*.f32 x (PI.f32))`
84.3%	1	`x`
84.3%	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))))`
84.3%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes42.0ms (0.9%)

Memory

24.2MiB live, 67.5MiB allocated; 5ms 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))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (PI.f32)) (.f32 (*.f32 (PI.f32) x) x))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (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 (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) (PI)) x) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx ( (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) x))
#s(approx (* (neg (/ (sin (* (* (neg (PI)) x) tau)) (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
(.f32 (neg.f32 #s(approx (/ (sin ( (* (neg (PI)) x) tau)) (* (* tau x) (PI))) #s(literal -1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.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 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.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 x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin ( (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) x) tau)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.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) (.f32 (PI.f32) x)) x) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 tau))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) x) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (.f32 (-.f32 (.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 (neg.f32 (PI.f32)) x) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* (* -1/6 (* x x)) (* (PI) (PI))) (* (* 1/120 (* tau tau)) (pow (* (PI) x) 4))) (* tau tau)) 1) (.f32 (pow.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) x) x (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 #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)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 tau tau) tau)) #s(literal -1/6 binary32) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.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 #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 (.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 #s(approx (+ ( (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(approx (sin ( x (PI))) (.f32 #s(approx (+ ( (* (* (* (* (PI) (PI)) (PI)) -1/6) x) x) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))

Outputs

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

Calls

4 calls:

13.0ms	tau
9.0ms	(*.f32 x (PI.f32))
9.0ms	x
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))))

Results

Accuracy	Segments	Branch
78.5%	1	`(*.f32 x (PI.f32))`
78.5%	1	`x`
78.5%	1	`tau`
78.5%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes29.0ms (0.6%)

Memory

-8.9MiB live, 33.5MiB allocated; 10ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
77.7%	1	`(*.f32 x (PI.f32))`
77.7%	1	`x`
77.7%	1	`tau`
77.7%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes41.0ms (0.8%)

Memory

-19.4MiB live, 26.8MiB allocated; 27ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

#s(approx (/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (* (neg (PI)) x) tau))) (* (* (neg (PI)) x) tau)) (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)))

Calls

4 calls:

29.0ms	(*.f32 x (PI.f32))
4.0ms	x
4.0ms	(.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))))
4.0ms	tau

Results

Accuracy	Segments	Branch
77.7%	1	`(*.f32 x (PI.f32))`
77.7%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
77.7%	1	`x`
77.7%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes13.0ms (0.3%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
77.7%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
77.7%	1	`(*.f32 x (PI.f32))`
77.7%	1	`x`
77.7%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes21.0ms (0.4%)

Memory

-21.3MiB live, 22.0MiB allocated; 11ms collecting garbage

Accuracy

Total -0.2b remaining (-1.4%)

Threshold costs -0.2b (-1.4%)

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

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

Calls

4 calls:

13.0ms	(*.f32 x (PI.f32))
3.0ms	x
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))))

Results

Accuracy	Segments	Branch
61.3%	1	`(*.f32 x (PI.f32))`
61.3%	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))))`
61.3%	1	`x`
61.3%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

derivations568.0ms (11.5%)

Memory

65.9MiB live, 521.3MiB allocated; 61ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 295 to 117 computations (60.3% saved)

preprocess139.0ms (2.8%)

Memory

-44.0MiB live, 344.8MiB allocated; 54ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 1 928 to 1 271 computations (34.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze21.0ms (0.4%)

sample1.4s (28.6%)

preprocess114.0ms (2.3%)

series27.0ms (0.6%)

rewrite192.0ms (3.9%)

eval13.0ms (0.3%)

prune20.0ms (0.4%)

series57.0ms (1.1%)

rewrite192.0ms (3.9%)

eval47.0ms (0.9%)

prune68.0ms (1.4%)

series48.0ms (1%)

rewrite153.0ms (3.1%)

eval66.0ms (1.3%)

prune84.0ms (1.7%)

series232.0ms (4.7%)

rewrite193.0ms (3.9%)

eval69.0ms (1.4%)

prune135.0ms (2.7%)

regimes155.0ms (3.1%)

regimes126.0ms (2.6%)

regimes158.0ms (3.2%)

regimes123.0ms (2.5%)

regimes99.0ms (2%)

regimes86.0ms (1.7%)

regimes57.0ms (1.2%)

regimes45.0ms (0.9%)

regimes42.0ms (0.8%)

regimes52.0ms (1.1%)

regimes42.0ms (0.9%)

regimes29.0ms (0.6%)

regimes41.0ms (0.8%)

regimes13.0ms (0.3%)

regimes21.0ms (0.4%)

derivations568.0ms (11.5%)

preprocess139.0ms (2.8%)

end0.0ms (0%)

Profiling