Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze15.0ms (0.2%)

Memory

30.1MiB live, 30.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.4s (19.5%)

Memory

142.2MiB live, 1 529.6MiB allocated; 799ms collecting garbage

Samples

1.1s	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 780.0ms

ival-mult!: 260.0ms (33.3% of total)

ival-sinu: 214.0ms (27.4% of total)

ival-sin: 213.0ms (27.3% of total)

ival-div!: 91.0ms (11.7% of total)

adjust: 1.0ms (0.1% 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

preprocess61.0ms (0.9%)

Memory

-22.4MiB live, 22.2MiB allocated; 7ms 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
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Symmetry

(abs x)

(abs tau)

Compiler

Compiled 34 to 20 computations (41.2% saved)

series32.0ms (0.5%)

Memory

5.2MiB live, 48.9MiB allocated; 6ms 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
8.0ms	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))))
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	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))))

rewrite487.0ms (7%)

Memory

15.4MiB live, 192.8MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	1276
0	273	1210
1	1755	1190
0	8686	1137
1	28672	1137

Stop Event

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

Counts

43 → 98

Calls

Call 1

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

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

eval8.0ms (0.1%)

Memory: 13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 773 to 432 computations (75.6% saved)

prune13.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB allocated; 0ms collecting garbage

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	74	20	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	21	95

Accuracy

99.6%

Counts

95 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(/.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))))
	97.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
	97.6%	(/.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)))
	97.5%	(.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))
	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)))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
	92.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
▶	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
▶	98.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.0%	(.f32 (/.f32 #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)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	89.3%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (PI.f32) tau (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 x x)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x))) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	65.5%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	80.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
▶	97.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))))
▶	64.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 069 to 726 computations (32.1% saved)

series1.3s (18.1%)

Memory

-188.3MiB live, 67.9MiB allocated; 1.2s collecting garbage

Counts

37 → 60

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
929.0ms	x	@	0	((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
304.0ms	tau	@	0	((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau 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) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
5.0ms	x	@	inf	((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
5.0ms	tau	@	-inf	((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))

rewrite256.0ms (3.7%)

Memory

35.2MiB live, 170.0MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	435	2447
0	488	2334
1	2880	2300
0	8682	2207
1	28910	2207

Stop Event

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

Counts

97 → 364

Calls

Call 1

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

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

eval30.0ms (0.4%)

Memory: -18.7MiB live, 66.5MiB allocated; 13ms collecting garbage
Compiler: Compiled 4 421 to 1 271 computations (71.3% saved)

prune63.0ms (0.9%)

Memory

-8.1MiB live, 96.2MiB allocated; 11ms collecting garbage

Pruning

45 alts after pruning (43 fresh and 2 done)

	Pruned	Kept	Total
New	254	37	291
Fresh	9	6	15
Picked	3	2	5
Done	1	0	1
Total	267	45	312

Accuracy

99.6%

Counts

312 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) tau) (PI.f32)))
▶	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 x (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32))))
▶	86.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	91.9%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	86.0%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	71.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	78.9%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
▶	64.5%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)))
	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
	85.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) x))
	85.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
	85.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 tau x)))
	85.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	86.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
	92.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	86.4%	(.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 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (-.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal -1 binary32))))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	86.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
	71.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (cbrt.f32 (PI.f32)))))
	92.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	81.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	80.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	66.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.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) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) tau)))))
▶	96.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
	97.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 x x) tau))))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
	97.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.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))))
	96.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
	97.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) tau))))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau))))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))))
	91.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
	85.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
	71.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
✓	64.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 644 to 1 841 computations (30.4% saved)

series106.0ms (1.5%)

Memory

13.6MiB live, 105.8MiB allocated; 6ms collecting garbage

Counts

42 → 75

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
74.0ms	x	@	inf	((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (* (PI) (PI)) x) tau) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) (* (* x x) -1/6) (* x x) -1/6 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)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) (PI)) (* (* x x) tau))) (* (* (PI) (PI)) (* (* x x) tau)) (* (* x x) tau))
8.0ms	tau	@	-inf	((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (* (PI) (PI)) x) tau) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) (* (* x x) -1/6) (* x x) -1/6 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)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) (PI)) (* (* x x) tau))) (* (* (PI) (PI)) (* (* x x) tau)) (* (* x x) tau))
7.0ms	x	@	-inf	((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (* (PI) (PI)) x) tau) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) (* (* x x) -1/6) (* x x) -1/6 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)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) (PI)) (* (* x x) tau))) (* (* (PI) (PI)) (* (* x x) tau)) (* (* x x) tau))
5.0ms	x	@	0	((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (* (PI) (PI)) x) tau) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) (* (* x x) -1/6) (* x x) -1/6 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)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) (PI)) (* (* x x) tau))) (* (* (PI) (PI)) (* (* x x) tau)) (* (* x x) tau))
4.0ms	tau	@	inf	((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (* (PI) (PI)) x) tau) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (* (PI) x) tau)) (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* x x) -1/6) (* (PI) (PI))) 1) (* (* x x) -1/6) (* x x) -1/6 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)) (* (PI) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (PI) (PI)) (* (* x x) tau))) (* (* (PI) (PI)) (* (* x x) tau)) (* (* x x) tau))

rewrite285.0ms (4.1%)

Memory

25.2MiB live, 309.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	539	3405
0	605	3225
1	3630	3195
0	10676	3067
1	36207	3067

Stop Event

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

Counts

117 → 399

Calls

Call 1

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

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

eval59.0ms (0.8%)

Memory: 6.1MiB live, 97.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 8 691 to 1 884 computations (78.3% saved)

prune78.0ms (1.1%)

Memory

-22.1MiB live, 219.7MiB allocated; 33ms collecting garbage

Pruning

74 alts after pruning (70 fresh and 4 done)

	Pruned	Kept	Total
New	431	43	474
Fresh	11	27	38
Picked	3	2	5
Done	0	2	2
Total	445	74	519

Accuracy

99.7%

Counts

519 → 74

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
	86.2%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (PI.f32) x)) tau)
	64.6%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (.f32 (*.f32 (PI.f32) x) tau))
	86.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (*.f32 (PI.f32) x) tau))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) tau) (PI.f32)))
	85.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (.f32 (*.f32 (PI.f32) tau) (PI.f32)))
	85.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) x)))
	85.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
	85.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))
✓	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	92.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) x) tau))
	86.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	86.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (-.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) x) tau))
	86.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x)))) (.f32 (.f32 (PI.f32) x) tau))
▶	85.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 (PI.f32) x) tau)))
▶	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x)))
	86.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) tau) x))
	86.0%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	71.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	80.1%	(/.f32 (.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (.f32 (PI.f32) tau)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	80.3%	(/.f32 (.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	65.9%	(/.f32 (.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	78.9%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	64.5%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)))
✓	64.5%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	64.6%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
▶	64.6%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	79.1%	(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
	65.7%	(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
	64.5%	(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	86.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x))
	85.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)))
	85.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x)) tau))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau)))
	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
	85.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
	85.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x)) (*.f32 tau x)))
	85.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x) #s(literal 1 binary32))) (.f32 tau x)))
	85.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	85.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	92.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	86.4%	(.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 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.2%	(.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 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	71.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (cbrt.f32 (PI.f32)))))
	92.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	86.3%	(.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 (PI.f32) x) tau)))
	97.7%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))))
	86.2%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x) #s(literal 1 binary32))) (.f32 (*.f32 (PI.f32) x) tau)))
▶	81.0%	(.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))))
	85.2%	(.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 #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 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
	80.6%	(.f32 #s(approx (/ (sin ( x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.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))))
	64.6%	(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32))))
▶	86.0%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	80.1%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (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)))
	66.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) tau) x (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) tau))))
	66.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.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) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) tau)))))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)))
	96.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x (.f32 tau x)))))
	97.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 x x) tau))))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
	97.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.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))))
	96.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
	97.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) tau))))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))))
	91.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
	85.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
	71.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
✓	64.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 296 to 3 036 computations (29.3% saved)

series80.0ms (1.2%)

Memory

24.7MiB live, 199.8MiB allocated; 34ms collecting garbage

Counts

54 → 107

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	((/ (* (sin (* (* (PI) tau) x)) (sin (* (PI) x))) (* (* (* (PI) tau) x) (* (PI) x))) (* (sin (* (* (PI) tau) x)) (sin (* (PI) x))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (PI) tau x (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) tau) x) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (PI) (PI)) (* tau x)) (* (PI) (PI)) (* tau x) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) -1/6 (* tau tau) (* (* (PI) (PI)) (* x x)) (* x x) 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (* (* (PI) x) tau)) (sin (* x (PI)))) (* (* (PI) x) (* (* (PI) x) tau))) (* (sin (* (* (PI) x) tau)) (sin (* x (PI)))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (sin (* x (PI))) (* (+ (* (* (* (* x x) (* (PI) (PI))) (PI)) -1/6) (PI)) x) (+ (* (* (* (* x x) (* (PI) (PI))) (PI)) -1/6) (PI)) (* (* (* x x) (* (PI) (PI))) (PI)) (* (* x x) (* (PI) (PI))) (* (* (PI) x) (* (* (PI) x) tau)) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (* x x)) 1) (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x)) (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (pow (* (PI) tau) 4) 4 1/120 (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120)) (* 1/36 (* tau tau)) 1/36 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))
15.0ms	tau	@	0	((/ (* (sin (* (* (PI) tau) x)) (sin (* (PI) x))) (* (* (* (PI) tau) x) (* (PI) x))) (* (sin (* (* (PI) tau) x)) (sin (* (PI) x))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (PI) tau x (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) tau) x) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (PI) (PI)) (* tau x)) (* (PI) (PI)) (* tau x) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) -1/6 (* tau tau) (* (* (PI) (PI)) (* x x)) (* x x) 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (* (* (PI) x) tau)) (sin (* x (PI)))) (* (* (PI) x) (* (* (PI) x) tau))) (* (sin (* (* (PI) x) tau)) (sin (* x (PI)))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (sin (* x (PI))) (* (+ (* (* (* (* x x) (* (PI) (PI))) (PI)) -1/6) (PI)) x) (+ (* (* (* (* x x) (* (PI) (PI))) (PI)) -1/6) (PI)) (* (* (* x x) (* (PI) (PI))) (PI)) (* (* x x) (* (PI) (PI))) (* (* (PI) x) (* (* (PI) x) tau)) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (* x x)) 1) (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x)) (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (pow (* (PI) tau) 4) 4 1/120 (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120)) (* 1/36 (* tau tau)) 1/36 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))
10.0ms	x	@	0	((/ (* (sin (* (* (PI) tau) x)) (sin (* (PI) x))) (* (* (* (PI) tau) x) (* (PI) x))) (* (sin (* (* (PI) tau) x)) (sin (* (PI) x))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (PI) tau x (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) tau) x) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (PI) (PI)) (* tau x)) (* (PI) (PI)) (* tau x) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) -1/6 (* tau tau) (* (* (PI) (PI)) (* x x)) (* x x) 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (* (* (PI) x) tau)) (sin (* x (PI)))) (* (* (PI) x) (* (* (PI) x) tau))) (* (sin (* (* (PI) x) tau)) (sin (* x (PI)))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (sin (* x (PI))) (* (+ (* (* (* (* x x) (* (PI) (PI))) (PI)) -1/6) (PI)) x) (+ (* (* (* (* x x) (* (PI) (PI))) (PI)) -1/6) (PI)) (* (* (* x x) (* (PI) (PI))) (PI)) (* (* x x) (* (PI) (PI))) (* (* (PI) x) (* (* (PI) x) tau)) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (* x x)) 1) (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x)) (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (pow (* (PI) tau) 4) 4 1/120 (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120)) (* 1/36 (* tau tau)) 1/36 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))
10.0ms	tau	@	-inf	((/ (* (sin (* (* (PI) tau) x)) (sin (* (PI) x))) (* (* (* (PI) tau) x) (* (PI) x))) (* (sin (* (* (PI) tau) x)) (sin (* (PI) x))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (PI) tau x (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) tau) x) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (PI) (PI)) (* tau x)) (* (PI) (PI)) (* tau x) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) -1/6 (* tau tau) (* (* (PI) (PI)) (* x x)) (* x x) 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (* (* (PI) x) tau)) (sin (* x (PI)))) (* (* (PI) x) (* (* (PI) x) tau))) (* (sin (* (* (PI) x) tau)) (sin (* x (PI)))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (sin (* x (PI))) (* (+ (* (* (* (* x x) (* (PI) (PI))) (PI)) -1/6) (PI)) x) (+ (* (* (* (* x x) (* (PI) (PI))) (PI)) -1/6) (PI)) (* (* (* x x) (* (PI) (PI))) (PI)) (* (* x x) (* (PI) (PI))) (* (* (PI) x) (* (* (PI) x) tau)) (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (* x x)) 1) (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x)) (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (pow (* (PI) tau) 4) 4 1/120 (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120)) (* 1/36 (* tau tau)) 1/36 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))
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rewrite241.0ms (3.5%)

Memory

4.5MiB live, 244.3MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	622	5694
0	713	5272
1	4268	5063
0	8248	4877
1	24981	4877

Stop Event

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

Counts

161 → 466

Calls

Call 1

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

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

eval53.0ms (0.8%)

Memory: 7.9MiB live, 95.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 9 745 to 2 463 computations (74.7% saved)

prune96.0ms (1.4%)

Memory

5.5MiB live, 147.4MiB allocated; 42ms collecting garbage

Pruning

84 alts after pruning (79 fresh and 5 done)

	Pruned	Kept	Total
New	439	27	466
Fresh	13	52	65
Picked	3	2	5
Done	1	3	4
Total	456	84	540

Accuracy

99.7%

Counts

540 → 84

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) tau) x (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 (PI.f32) x)))
	66.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
	86.2%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (PI.f32) x)) tau)
	85.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) 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))) (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) tau) x))
	64.6%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (.f32 (*.f32 (PI.f32) x) tau))
	64.6%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (.f32 (*.f32 (PI.f32) tau) x))
	86.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (*.f32 (PI.f32) x) tau))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) tau) (PI.f32)))
✓	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	92.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) x) tau))
	86.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	86.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (-.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) x) tau))
	86.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x)))) (.f32 (.f32 (PI.f32) x) tau))
	86.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( x (PI))) (fma.f32 (PI.f32) x (.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau)))
	71.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( x (PI))) (.f32 #s(approx (+ ( (* (* (* x x) (* (PI) (PI))) (PI)) -1/6) (PI)) (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau)))
✓	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x (.f32 (.f32 (PI.f32) tau) x))))
	86.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) tau) x))
	85.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) 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))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 (PI.f32) x) tau)))
	85.7%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) 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))) (.f32 (.f32 (PI.f32) tau) (.f32 x (*.f32 (PI.f32) x))))
	71.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 (PI.f32) x)))
	86.0%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	71.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	80.1%	(/.f32 (.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (.f32 (PI.f32) tau)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	80.3%	(/.f32 (.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	65.9%	(/.f32 (.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	78.9%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	64.5%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)))
	64.5%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	64.7%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	64.6%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
✓	64.6%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	65.7%	(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
	64.5%	(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	86.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)))
	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
	85.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
	85.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x)) (*.f32 tau x)))
	85.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x) #s(literal 1 binary32))) (.f32 tau x)))
	85.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	85.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	85.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (/.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 (PI.f32) tau) x)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32))))
	92.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.2%	(.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 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (cbrt.f32 (PI.f32)))))
	92.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	86.3%	(.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 (PI.f32) x) tau)))
	97.7%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))))
	86.2%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x) #s(literal 1 binary32))) (.f32 (*.f32 (PI.f32) x) tau)))
	97.5%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) tau) (.f32 x (.f32 (PI.f32) x)))))
	81.2%	(.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) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))))
	81.0%	(.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 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.2%	(.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 #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 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
	80.6%	(.f32 #s(approx (/ (sin ( x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.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))))
	64.9%	(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)))
	85.4%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) #s(approx (+ ( (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120)) (.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	86.0%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/36 binary32))) (.f32 tau tau) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	81.5%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
	82.1%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (.f32 #s(literal 1/120 binary32) (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	80.1%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
	80.1%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (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)))
	65.7%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
	81.5%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 tau tau))))) (.f32 x x) #s(literal 1 binary32)))
	80.1%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
	13.3%	#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (* x x)) 1) (.f32 (pow.f32 (.f32 (*.f32 (PI.f32) tau) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
	66.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) tau) x (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) tau))))
	66.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.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) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) tau)))))
	96.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x (.f32 tau x)))))
	97.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 x x) tau))))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
	97.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.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))))
	96.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
	97.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) tau))))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))))
	91.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
	85.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
	71.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
✓	64.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 5 465 to 2 507 computations (54.1% saved)

regimes136.0ms (2%)

Memory

-10.8MiB live, 213.2MiB allocated; 18ms collecting garbage

Counts

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

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

Calls

4 calls:

34.0ms	tau
33.0ms	x
31.0ms	(*.f32 x (PI.f32))
31.0ms	(.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
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)

regimes113.0ms (1.6%)

Memory

42.0MiB live, 179.1MiB allocated; 12ms collecting garbage

Counts

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

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

Calls

4 calls:

29.0ms	x
28.0ms	tau
27.0ms	(*.f32 x (PI.f32))
25.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes108.0ms (1.6%)

Memory

-7.5MiB live, 173.1MiB allocated; 16ms collecting garbage

Counts

100 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes142.0ms (2%)

Memory

-24.9MiB live, 168.8MiB allocated; 36ms collecting garbage

Counts

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

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

Calls

4 calls:

31.0ms	(*.f32 x (PI.f32))
27.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
26.0ms	x
23.0ms	tau

Results

Accuracy	Segments	Branch
97.5%	1	`tau`
97.5%	1	`(*.f32 x (PI.f32))`
97.5%	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))))`
97.5%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes169.0ms (2.4%)

Memory

11.1MiB live, 141.8MiB allocated; 30ms collecting garbage

Counts

93 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

33.0ms	x
25.0ms	tau
22.0ms	(*.f32 x (PI.f32))
22.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes99.0ms (1.4%)

Memory

52.1MiB live, 181.8MiB allocated; 17ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

25.0ms	x
24.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
24.0ms	(*.f32 x (PI.f32))
22.0ms	tau

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes122.0ms (1.8%)

Memory

-1.9MiB live, 142.4MiB allocated; 16ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

44.0ms	(.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
23.0ms	x
21.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
97.0%	1	`(*.f32 x (PI.f32))`
97.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.0%	1	`x`
97.0%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes141.0ms (2%)

Memory

-3.9MiB live, 178.2MiB allocated; 21ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

64.0ms	tau
26.0ms	x
24.0ms	(*.f32 x (PI.f32))
23.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
92.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
92.4%	1	`(*.f32 x (PI.f32))`
92.4%	1	`x`
92.4%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes126.0ms (1.8%)

Memory

2.7MiB live, 161.1MiB allocated; 93ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

59.0ms	x
22.0ms	tau
21.0ms	(.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))))
20.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes165.0ms (2.4%)

Memory

-19.4MiB live, 120.3MiB allocated; 13ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

61.0ms	(.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))))
59.0ms	x
22.0ms	tau
19.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes53.0ms (0.8%)

Memory

9.5MiB live, 97.2MiB allocated; 9ms collecting garbage

Counts

45 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

15.0ms	tau
14.0ms	(*.f32 x (PI.f32))
11.0ms	x
11.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes46.0ms (0.7%)

Memory

-6.1MiB live, 91.6MiB allocated; 12ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

14.0ms	(*.f32 x (PI.f32))
12.0ms	tau
10.0ms	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
86.2%	1	`(*.f32 x (PI.f32))`
86.2%	1	`x`
86.2%	1	`tau`
86.2%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes42.0ms (0.6%)

Memory

-8.3MiB live, 84.1MiB 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 (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (.f32 (*.f32 (PI.f32) tau) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32))))
(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (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 (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (* x x)) 1) (.f32 (pow.f32 (.f32 (*.f32 (PI.f32) tau) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.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 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(.f32 #s(approx (/ (sin ( x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 tau tau) tau)))) (.f32 x x) (.f32 (PI.f32) tau)) x)) (.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (.f32 #s(literal 1/120 binary32) (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)))) (.f32 x x))) (.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 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))))
(/.f32 (.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 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))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (.f32 (PI.f32) tau)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( x (PI))) (.f32 #s(approx (+ ( (* (* (* x x) (* (PI) (PI))) (PI)) -1/6) (PI)) (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
82.1%	1	`(*.f32 x (PI.f32))`
82.1%	1	`x`
82.1%	1	`tau`
82.1%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes30.0ms (0.4%)

Memory

8.6MiB live, 53.5MiB allocated; 3ms collecting garbage

Counts

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

Calls

4 calls:

9.0ms	tau
7.0ms	(*.f32 x (PI.f32))
6.0ms	(.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))))
6.0ms	x

Results

Accuracy	Segments	Branch
81.0%	1	`tau`
81.0%	1	`(*.f32 x (PI.f32))`
81.0%	1	`x`
81.0%	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))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes22.0ms (0.3%)

Memory

34.1MiB live, 34.1MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

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

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

Results

Accuracy	Segments	Branch
80.1%	1	`tau`
80.1%	1	`(*.f32 x (PI.f32))`
80.1%	1	`x`
80.1%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes40.0ms (0.6%)

Memory

-19.8MiB live, 25.6MiB allocated; 11ms 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 (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (.f32 (*.f32 (PI.f32) tau) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32))))
(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)))

Outputs

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

Calls

4 calls:

28.0ms	x
4.0ms	(*.f32 x (PI.f32))
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
80.1%	1	`tau`
80.1%	1	`(*.f32 x (PI.f32))`
80.1%	1	`x`
80.1%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes10.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.2b remaining (-1.7%)

Threshold costs -0.2b (-1.7%)

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.9%	1	`(*.f32 x (PI.f32))`
64.9%	1	`x`
64.9%	1	`tau`
64.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

derivations638.0ms (9.2%)

Memory

1.3MiB live, 597.3MiB allocated; 82ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 422 to 159 computations (62.3% saved)

preprocess179.0ms (2.6%)

Memory

35.9MiB live, 314.3MiB allocated; 22ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 2 731 to 1 689 computations (38.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze15.0ms (0.2%)

sample1.4s (19.5%)

preprocess61.0ms (0.9%)

series32.0ms (0.5%)

rewrite487.0ms (7%)

eval8.0ms (0.1%)

prune13.0ms (0.2%)

series1.3s (18.1%)

rewrite256.0ms (3.7%)

eval30.0ms (0.4%)

prune63.0ms (0.9%)

series106.0ms (1.5%)

rewrite285.0ms (4.1%)

eval59.0ms (0.8%)

prune78.0ms (1.1%)

series80.0ms (1.2%)

rewrite241.0ms (3.5%)

eval53.0ms (0.8%)

prune96.0ms (1.4%)

regimes136.0ms (2%)

regimes113.0ms (1.6%)

regimes108.0ms (1.6%)

regimes142.0ms (2%)

regimes169.0ms (2.4%)

regimes99.0ms (1.4%)

regimes122.0ms (1.8%)

regimes141.0ms (2%)

regimes126.0ms (1.8%)

regimes165.0ms (2.4%)

regimes53.0ms (0.8%)

regimes46.0ms (0.7%)

regimes42.0ms (0.6%)

regimes30.0ms (0.4%)

regimes22.0ms (0.3%)

regimes40.0ms (0.6%)

regimes10.0ms (0.1%)

derivations638.0ms (9.2%)

preprocess179.0ms (2.6%)

end0.0ms (0%)

Profiling