Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze14.0ms (0.3%)

Memory

22.4MiB live, 22.4MiB 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)

sample860.0ms (17.8%)

Memory

-8.0MiB live, 1 125.2MiB allocated; 197ms collecting garbage

Samples

657.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 433.0ms

ival-sin: 125.0ms (28.8% of total)

ival-mult!: 123.0ms (28.4% of total)

ival-sinu: 114.0ms (26.3% of total)

ival-div!: 69.0ms (15.9% of total)

adjust: 2.0ms (0.5% 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

preprocess42.0ms (0.9%)

Memory

-4.1MiB live, 43.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	136
1	96	136
2	438	128
3	2215	128
4	3963	128
5	5859	128
6	6890	128

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.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))))

Symmetry

(abs x)

(abs tau)

Compiler

Compiled 34 to 20 computations (41.2% saved)

series29.0ms (0.6%)

Memory

40.7MiB live, 40.7MiB allocated; 0ms collecting garbage

Counts

10 → 38

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

Calls

6 calls:

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

rewrite170.0ms (3.5%)

Memory

-5.4MiB live, 226.7MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1349
0	279	1283
1	1608	1261
0	8119	1208

Stop Event

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

Counts

48 → 101

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

Outputs
(.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 (/.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 (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)))
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(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 tau x) (PI.f32))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 tau (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (.f32 (PI.f32) x)))) (neg.f32 (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
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(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
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#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)))
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#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
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#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)) tau) (.f32 (.f32 tau x) (PI.f32)))
#s(approx (* x (PI)) (*.f32 (PI.f32) x))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) #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)))
#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 (* (/ (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)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 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 1/120 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 -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)))) (.f32 tau tau) #s(literal 1 binary32)))
#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 (0.2%)

Memory: 17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 828 to 437 computations (76.1% saved)

prune25.0ms (0.5%)

Memory

-24.1MiB live, 35.6MiB allocated; 10ms collecting garbage

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	71	26	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	27	98

Accuracy

99.7%

Counts

98 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
	98.0%	(/.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)))
▶	97.9%	(/.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)))
	97.6%	(.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)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
✓	98.1%	(.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))))
	94.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (.f32 x (PI.f32))))
▶	86.8%	(.f32 (/.f32 (sin.f32 (.f32 (.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))))
	92.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	87.1%	(.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))))
	73.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.7%	(.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)))
▶	97.3%	(.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)))
	97.8%	(.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))))
	81.7%	(.f32 (/.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)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.9%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	82.3%	(.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))))
	91.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))))) (.f32 x x))))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	87.9%	#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)))
	81.6%	#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)))
	67.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	96.9%	#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))))
▶	66.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 469 to 942 computations (35.9% saved)

series50.0ms (1%)

Memory

-19.1MiB live, 74.2MiB allocated; 8ms collecting garbage

Counts

35 → 137

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	tau	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* 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)) (* (PI) (PI)) -1/6 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))
8.0ms	x	@	inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* 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)) (* (PI) (PI)) -1/6 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))
7.0ms	x	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* 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)) (* (PI) (PI)) -1/6 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))
5.0ms	x	@	0	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* 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)) (* (PI) (PI)) -1/6 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))
5.0ms	tau	@	0	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* 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)) (* (PI) (PI)) -1/6 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))

rewrite173.0ms (3.6%)

Memory

40.0MiB live, 224.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	593	5617
0	660	5337
1	3355	5245
0	8071	5040

Stop Event

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

Counts

172 → 568

Calls

Call 1

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

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

eval38.0ms (0.8%)

Memory: -32.2MiB live, 67.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 7 219 to 1 682 computations (76.7% saved)

prune46.0ms (1%)

Memory

-9.9MiB live, 84.7MiB allocated; 5ms collecting garbage

Pruning

54 alts after pruning (51 fresh and 3 done)

	Pruned	Kept	Total
New	339	47	386
Fresh	17	4	21
Picked	2	3	5
Done	1	0	1
Total	359	54	413

Accuracy

99.7%

Counts

413 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	97.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
	86.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (PI.f32) x))
	86.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (.f32 (PI.f32) tau))
	86.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (neg.f32 #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
	86.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (*.f32 x tau) (PI.f32)))
	86.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x tau)) #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (.f32 (PI.f32) x) x))
	86.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
▶	86.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	86.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))
✓	98.1%	(/.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))
▶	98.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
	73.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 x (.f32 (*.f32 x tau) (PI.f32))))
	86.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 x tau) (PI.f32))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))) x)
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) tau)) x))
▶	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	86.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (neg.f32 (*.f32 (PI.f32) x))))
▶	86.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
✓	97.9%	(/.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)))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (* (* (* tau x) (PI)) (* (PI) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x)))
	98.0%	(/.f32 (.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
	91.8%	(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (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))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	82.4%	(/.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))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	73.3%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	80.9%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
	67.6%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	66.6%	(/.f32 #s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	86.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (fma.f32 (PI.f32) x (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (+.f32 (.f32 (PI.f32) x) (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (.f32 x (PI.f32))))
	94.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (.f32 x (PI.f32))))
	86.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (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))))
	86.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 #s(approx (+ ( (* (* 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))) x)) (.f32 x (PI.f32))))
	92.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	87.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	73.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
	86.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x)))
	92.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
	86.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau))))
	73.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
	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))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	97.4%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
	82.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	87.9%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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)))
▶	81.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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)))
	96.9%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))))
✓	66.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 781 to 1 984 computations (28.7% saved)

series210.0ms (4.3%)

Memory

5.8MiB live, 286.3MiB allocated; 45ms collecting garbage

Counts

44 → 158

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
54.0ms	x	@	inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (PI)) x))) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* x tau) (* (PI) (* (PI) x)))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (sin (* (PI) x)) (* (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) x) (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (* (* (* (PI) (PI)) (* x x)) (PI)) (* (* (PI) (PI)) (* x x)) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x))) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* x tau) (* (PI) (* (PI) x)))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (PI) x)))
50.0ms	x	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (PI)) x))) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* x tau) (* (PI) (* (PI) x)))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (sin (* (PI) x)) (* (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) x) (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (* (* (* (PI) (PI)) (* x x)) (PI)) (* (* (PI) (PI)) (* x x)) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x))) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* x tau) (* (PI) (* (PI) x)))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (PI) x)))
43.0ms	tau	@	inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (PI)) x))) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* x tau) (* (PI) (* (PI) x)))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (sin (* (PI) x)) (* (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) x) (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (* (* (* (PI) (PI)) (* x x)) (PI)) (* (* (PI) (PI)) (* x x)) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x))) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* x tau) (* (PI) (* (PI) x)))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (PI) x)))
29.0ms	tau	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (PI)) x))) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* x tau) (* (PI) (* (PI) x)))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (sin (* (PI) x)) (* (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) x) (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (* (* (* (PI) (PI)) (* x x)) (PI)) (* (* (PI) (PI)) (* x x)) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x))) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* x tau) (* (PI) (* (PI) x)))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (PI) x)))
13.0ms	x	@	0	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (PI)) x))) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* x tau) (* (PI) (* (PI) x)))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (sin (* (PI) x)) (* (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) x) (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (* (* (* (PI) (PI)) (* x x)) (PI)) (* (* (PI) (PI)) (* x x)) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x))) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* x tau) (* (PI) (* (PI) x)))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (PI) x)))

rewrite194.0ms (4%)

Memory

50.5MiB live, 237.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	801	6862
0	880	6218
1	4919	6210
0	8303	5937

Stop Event

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

Counts

202 → 399

Calls

Call 1

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

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

eval43.0ms (0.9%)

Memory: -15.4MiB live, 76.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 843 to 1 963 computations (75% saved)

prune61.0ms (1.3%)

Memory

10.5MiB live, 110.3MiB allocated; 8ms collecting garbage

Pruning

71 alts after pruning (70 fresh and 1 done)

	Pruned	Kept	Total
New	372	41	413
Fresh	17	29	46
Picked	5	0	5
Done	2	1	3
Total	396	71	467

Accuracy

99.8%

Counts

467 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 x tau) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
	86.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (neg.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
	86.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 x tau)) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
	81.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) tau)) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 x tau)) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
	86.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (.f32 (PI.f32) tau))
	86.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (neg.f32 #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
	86.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (*.f32 x tau) (PI.f32)))
	86.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x tau)) #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (.f32 (PI.f32) x) x))
	86.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 x (.f32 (neg.f32 (PI.f32)) x))))
	86.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))
	98.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	98.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (log.f32 (pow.f32 (exp.f32 x) (PI.f32))))) (log.f32 (pow.f32 (exp.f32 x) (PI.f32))))
	73.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 x (.f32 (*.f32 x tau) (PI.f32))))
	86.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 x tau) (PI.f32))))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	86.7%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
	86.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))) x)
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) #s(approx (* (* x tau) (* (PI) (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau)))
	86.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 (PI.f32) x) tau)))
	86.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
	86.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) #s(approx ( (* x tau) (* (PI) (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau)))
	86.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) (.f32 (PI.f32) #s(literal -1/6 binary32)) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
	73.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 #s(approx (+ ( (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x)))
▶	98.0%	(/.f32 (.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
	81.7%	(/.f32 (.f32 #s(approx (/ (sin ( (* x tau) (PI))) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	67.6%	(/.f32 (.f32 #s(approx (/ (sin ( (* x tau) (PI))) tau) (.f32 (PI.f32) x)) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	80.2%	(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (.f32 (+.f32 (neg.f32 (.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 x x))) (neg.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 x x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	80.9%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
	67.6%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	66.6%	(/.f32 #s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32))))
▶	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32))))
	86.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (fma.f32 (PI.f32) x (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (+.f32 (.f32 (PI.f32) x) (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (.f32 x (PI.f32))))
	86.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	92.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	87.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	73.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
	86.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x)))
	92.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
	86.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
▶	73.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
	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))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	97.7%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
	86.6%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
	97.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
▶	97.4%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
	82.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	87.9%	#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (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) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
	81.6%	#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (PI)) x))) (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)))
	97.7%	#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (PI)) x))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau))))
	81.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
	81.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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)))
	81.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
	73.1%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
	67.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	81.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
	81.3%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32))))
	81.0%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
	96.9%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))))
▶	67.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	80.8%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
	3.9%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)))))
✓	66.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 041 to 2 860 computations (29.2% saved)

series139.0ms (2.9%)

Memory

4.7MiB live, 240.7MiB allocated; 18ms collecting garbage

Counts

46 → 172

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	tau	@	-inf	((/ (* (sin (log (pow (exp (PI)) x))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (log (pow (exp (PI)) x)))) (* (sin (log (pow (exp (PI)) x))) (sin (* (* tau x) (PI)))) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (* (* (* tau x) (PI)) (log (pow (exp (PI)) x))) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ 1 (* (PI) tau)) (* (PI) tau) (* (/ (sin (* (* (PI) x) tau)) (* x tau)) (/ (sin (log (pow (exp (PI)) x))) (* (* (PI) x) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (* x tau) (/ (sin (log (pow (exp (PI)) x))) (* (* (PI) x) (PI))) (sin (log (pow (exp (PI)) x))) (* (+ (* (* (* (PI) (PI)) (* (* x x) (PI))) -1/6) (PI)) x) (+ (* (* (* (PI) (PI)) (* (* x x) (PI))) -1/6) (PI)) (* (* (PI) (PI)) (* (* x x) (PI))) (* (* x x) (PI)) (* (* (PI) x) (PI)) (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)))
27.0ms	tau	@	inf	((/ (* (sin (log (pow (exp (PI)) x))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (log (pow (exp (PI)) x)))) (* (sin (log (pow (exp (PI)) x))) (sin (* (* tau x) (PI)))) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (* (* (* tau x) (PI)) (log (pow (exp (PI)) x))) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ 1 (* (PI) tau)) (* (PI) tau) (* (/ (sin (* (* (PI) x) tau)) (* x tau)) (/ (sin (log (pow (exp (PI)) x))) (* (* (PI) x) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (* x tau) (/ (sin (log (pow (exp (PI)) x))) (* (* (PI) x) (PI))) (sin (log (pow (exp (PI)) x))) (* (+ (* (* (* (PI) (PI)) (* (* x x) (PI))) -1/6) (PI)) x) (+ (* (* (* (PI) (PI)) (* (* x x) (PI))) -1/6) (PI)) (* (* (PI) (PI)) (* (* x x) (PI))) (* (* x x) (PI)) (* (* (PI) x) (PI)) (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)))
25.0ms	tau	@	0	((/ (* (sin (log (pow (exp (PI)) x))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (log (pow (exp (PI)) x)))) (* (sin (log (pow (exp (PI)) x))) (sin (* (* tau x) (PI)))) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (* (* (* tau x) (PI)) (log (pow (exp (PI)) x))) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ 1 (* (PI) tau)) (* (PI) tau) (* (/ (sin (* (* (PI) x) tau)) (* x tau)) (/ (sin (log (pow (exp (PI)) x))) (* (* (PI) x) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (* x tau) (/ (sin (log (pow (exp (PI)) x))) (* (* (PI) x) (PI))) (sin (log (pow (exp (PI)) x))) (* (+ (* (* (* (PI) (PI)) (* (* x x) (PI))) -1/6) (PI)) x) (+ (* (* (* (PI) (PI)) (* (* x x) (PI))) -1/6) (PI)) (* (* (PI) (PI)) (* (* x x) (PI))) (* (* x x) (PI)) (* (* (PI) x) (PI)) (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)))
23.0ms	x	@	-inf	((/ (* (sin (log (pow (exp (PI)) x))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (log (pow (exp (PI)) x)))) (* (sin (log (pow (exp (PI)) x))) (sin (* (* tau x) (PI)))) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (* (* (* tau x) (PI)) (log (pow (exp (PI)) x))) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ 1 (* (PI) tau)) (* (PI) tau) (* (/ (sin (* (* (PI) x) tau)) (* x tau)) (/ (sin (log (pow (exp (PI)) x))) (* (* (PI) x) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (* x tau) (/ (sin (log (pow (exp (PI)) x))) (* (* (PI) x) (PI))) (sin (log (pow (exp (PI)) x))) (* (+ (* (* (* (PI) (PI)) (* (* x x) (PI))) -1/6) (PI)) x) (+ (* (* (* (PI) (PI)) (* (* x x) (PI))) -1/6) (PI)) (* (* (PI) (PI)) (* (* x x) (PI))) (* (* x x) (PI)) (* (* (PI) x) (PI)) (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)))
18.0ms	x	@	inf	((/ (* (sin (log (pow (exp (PI)) x))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (log (pow (exp (PI)) x)))) (* (sin (log (pow (exp (PI)) x))) (sin (* (* tau x) (PI)))) (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (* (* (* tau x) (PI)) (log (pow (exp (PI)) x))) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ 1 (* (PI) tau)) (* (PI) tau) (* (/ (sin (* (* (PI) x) tau)) (* x tau)) (/ (sin (log (pow (exp (PI)) x))) (* (* (PI) x) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (* x tau) (/ (sin (log (pow (exp (PI)) x))) (* (* (PI) x) (PI))) (sin (log (pow (exp (PI)) x))) (* (+ (* (* (* (PI) (PI)) (* (* x x) (PI))) -1/6) (PI)) x) (+ (* (* (* (PI) (PI)) (* (* x x) (PI))) -1/6) (PI)) (* (* (PI) (PI)) (* (* x x) (PI))) (* (* x x) (PI)) (* (* (PI) x) (PI)) (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)))

rewrite198.0ms (4.1%)

Memory

7.4MiB live, 239.2MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	806	7459
0	895	6772
1	4852	6760
0	8380	6444

Stop Event

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

Counts

218 → 378

Calls

Call 1

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

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

eval37.0ms (0.8%)

Memory: -39.6MiB live, 60.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 6 389 to 1 603 computations (74.9% saved)

prune86.0ms (1.8%)

Memory

15.2MiB live, 156.4MiB allocated; 8ms collecting garbage

Pruning

90 alts after pruning (88 fresh and 2 done)

	Pruned	Kept	Total
New	271	34	305
Fresh	11	54	65
Picked	4	1	5
Done	0	1	1
Total	286	90	376

Accuracy

99.8%

Counts

376 → 90

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 x tau) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
	86.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (neg.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
	98.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 x tau)) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
	86.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
	86.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (.f32 (PI.f32) tau))
	86.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (neg.f32 #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
	86.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (*.f32 x tau) (PI.f32)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (.f32 (PI.f32) x) x))
	86.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 x (.f32 (neg.f32 (PI.f32)) x))))
	86.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))
	73.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 x (.f32 (*.f32 x tau) (PI.f32))))
	86.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 x tau) (PI.f32))))
	86.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))) (*.f32 tau x))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	86.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau)))
	86.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))) x)
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
	86.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 (PI.f32) x) tau)))
	86.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
	86.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) #s(approx ( (* x tau) (* (PI) (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau)))
	86.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) (.f32 (PI.f32) #s(literal -1/6 binary32)) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
	73.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 #s(approx (+ ( (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	80.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (*.f32 tau x) (PI.f32)) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x)))
	98.0%	(/.f32 (.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (log.f32 (pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) x))))
	81.2%	(/.f32 (.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx ( (* x tau) (* (PI) (* (PI) x))) (.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) tau) #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (fma.f32 #s(literal -3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 #s(literal 3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (PI.f32)) (.f32 (.f32 #s(literal 1/24 binary32) tau) (.f32 (.f32 (PI.f32) x) (fma.f32 #s(literal -6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal -3 binary32)))))))) x)) x (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))))
	97.9%	(/.f32 (.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 x) (PI.f32)))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (log.f32 (pow.f32 (exp.f32 x) (PI.f32)))))
	81.7%	(/.f32 (.f32 #s(approx (/ (sin ( (* x tau) (PI))) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	67.6%	(/.f32 (.f32 #s(approx (/ (sin ( (* x tau) (PI))) tau) (.f32 (PI.f32) x)) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	80.2%	(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (.f32 (+.f32 (neg.f32 (.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 x x))) (neg.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 x x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	80.9%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
	67.6%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	66.6%	(/.f32 #s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	86.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) tau) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32))))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x)) (PI.f32)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32))))
	86.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
	73.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) #s(approx (/ (sin (log (pow (exp (PI)) x))) (* (* (PI) x) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))))
	86.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (fma.f32 (PI.f32) x (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
	86.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	92.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	87.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	73.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
	86.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x)))
	92.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) tau) #s(literal 1/120 binary32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
	92.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
	86.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
	73.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau)))
	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))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	73.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
	72.7%	(.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)) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
	66.7%	(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
	97.7%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
	86.6%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
✓	97.4%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
	88.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) x) #s(literal -1/6 binary32))) (.f32 tau tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
	82.2%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
	82.0%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	97.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau))))
	67.5%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	81.9%	(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) (* x tau)) (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32))))
	82.3%	(.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))))
	72.8%	(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (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))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
	72.8%	(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
	66.8%	(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
	86.4%	(.f32 #s(approx (sin (log (pow (exp (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 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
	87.9%	#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (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) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
	81.6%	#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (PI)) x))) (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)))
	97.7%	#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (PI)) x))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau))))
	81.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
	81.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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)))
	81.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
	73.1%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
	67.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	81.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
	81.3%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32))))
	81.0%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
	96.9%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))))
	67.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
	67.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	67.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	67.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x)) #s(literal 1 binary32))))
	80.8%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x) (fma.f32 (/.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
	4.1%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x)))))
✓	66.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 5 661 to 2 645 computations (53.3% saved)

regimes159.0ms (3.3%)

Memory

-0.7MiB live, 237.1MiB allocated; 20ms collecting garbage

Counts

149 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x)))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
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(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (log.f32 (pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))))) (.f32 x x))))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx ( (* x tau) (* (PI) (* (PI) x))) (.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) tau) #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (fma.f32 #s(literal -3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 #s(literal 3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (PI.f32)) (.f32 (.f32 #s(literal 1/24 binary32) tau) (.f32 (.f32 (PI.f32) x) (fma.f32 #s(literal -6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal -3 binary32)))))))) x)) x (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))))

Outputs
(/.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))

Calls

4 calls:

38.0ms	tau
38.0ms	(*.f32 x (PI.f32))
38.0ms	x
37.0ms	(.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
98.1%	1	`(*.f32 x (PI.f32))`
98.1%	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))))`
98.1%	1	`x`
98.1%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes176.0ms (3.7%)

Memory

8.9MiB live, 200.5MiB allocated; 95ms collecting garbage

Counts

122 → 1

Calls

Call 1

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

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

Calls

4 calls:

78.0ms	(*.f32 x (PI.f32))
32.0ms	tau
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))))
31.0ms	x

Results

Accuracy	Segments	Branch
98.1%	1	`(*.f32 x (PI.f32))`
98.1%	1	`x`
98.1%	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))))`
98.1%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes130.0ms (2.7%)

Memory

-2.7MiB live, 190.8MiB allocated; 19ms collecting garbage

Counts

118 → 1

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
31.0ms	(*.f32 x (PI.f32))
31.0ms	tau
30.0ms	x

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes116.0ms (2.4%)

Memory

-12.8MiB live, 176.9MiB allocated; 13ms collecting garbage

Counts

108 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes112.0ms (2.3%)

Memory

32.6MiB live, 171.6MiB allocated; 9ms collecting garbage

Counts

105 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes114.0ms (2.4%)

Memory

-19.0MiB live, 170.5MiB allocated; 14ms collecting garbage

Counts

104 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

29.0ms	tau
27.0ms	x
27.0ms	(*.f32 x (PI.f32))
26.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
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)

regimes111.0ms (2.3%)

Memory

19.7MiB live, 164.8MiB allocated; 14ms 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))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x)))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (PI)) x))) (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)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) (*.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) (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)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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)))
(/.f32 #s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (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))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(/.f32 (.f32 #s(approx (/ (sin ( (* x tau) (PI))) tau) (.f32 (PI.f32) x)) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
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(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 #s(approx (+ ( (* (* 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))) x)) (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) x) #s(literal -1/6 binary32))) (.f32 tau tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #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 ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.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)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) tau) #s(literal 1/120 binary32))) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) 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)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (.f32 (sin.f32 (.f32 (.f32 x tau) (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:

31.0ms	tau
26.0ms	(*.f32 x (PI.f32))
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))))

Results

Accuracy	Segments	Branch
96.9%	1	`(*.f32 x (PI.f32))`
96.9%	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))))`
96.9%	1	`x`
96.9%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes106.0ms (2.2%)

Memory

-31.4MiB live, 159.6MiB allocated; 13ms collecting garbage

Counts

98 → 1

Calls

Call 1

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

Calls

4 calls:

26.0ms	tau
25.0ms	x
25.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
23.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
92.9%	1	`(*.f32 x (PI.f32))`
92.9%	1	`x`
92.9%	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))))`
92.9%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes98.0ms (2%)

Memory

7.8MiB live, 150.1MiB allocated; 10ms 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))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x)))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (PI)) x))) (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)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) (*.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) (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)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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)))
(/.f32 #s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (.f32 (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (+.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (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))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(/.f32 (.f32 #s(approx (/ (sin ( (* x tau) (PI))) tau) (.f32 (PI.f32) x)) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.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)) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau tau))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x) (fma.f32 (/.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) (.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 tau 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(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) #s(approx (/ (sin (log (pow (exp (PI)) x))) (* (* (PI) x) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau)))
(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) (* x tau)) (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.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 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 #s(approx (+ ( (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (neg (sin (* (PI) x)))) (.f32 (+.f32 (neg.f32 (.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 x x))) (neg.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 x x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (* x tau) (PI))) tau) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.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 ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.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))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(.f32 #s(approx (sin (log (pow (exp (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 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) (.f32 (PI.f32) #s(literal -1/6 binary32)) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) #s(approx ( (* x tau) (* (PI) (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (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 (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (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 (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))) (*.f32 tau x))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 x tau) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x tau)) #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau x)) #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (.f32 x tau)) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) tau) (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (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 x tau) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (.f32 (PI.f32) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (neg.f32 #s(approx (sin (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 x (.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (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)) (neg.f32 #s(approx (sin (log (pow (exp (PI)) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (fma.f32 (PI.f32) x (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) 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 (.f32 (PI.f32) x) (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (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) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 #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))) x)) (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 tau tau)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) x) #s(literal -1/6 binary32))) (.f32 tau tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))

Outputs

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

Calls

4 calls:

24.0ms	(*.f32 x (PI.f32))
24.0ms	tau
23.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
22.0ms	x

Results

Accuracy	Segments	Branch
92.1%	1	`tau`
92.1%	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))))`
92.1%	1	`(*.f32 x (PI.f32))`
92.1%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes93.0ms (1.9%)

Memory

0.0MiB live, 143.2MiB allocated; 9ms collecting garbage

Counts

87 → 1

Calls

Call 1

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

Calls

4 calls:

23.0ms	tau
23.0ms	(*.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))))
21.0ms	x

Results

Accuracy	Segments	Branch
87.1%	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))))`
87.1%	1	`tau`
87.1%	1	`(*.f32 x (PI.f32))`
87.1%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes53.0ms (1.1%)

Memory

37.5MiB live, 84.3MiB allocated; 3ms collecting garbage

Counts

48 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	tau
12.0ms	x
12.0ms	(*.f32 x (PI.f32))
12.0ms	(.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
82.3%	1	`(*.f32 x (PI.f32))`
82.3%	1	`x`
82.3%	1	`tau`
82.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes53.0ms (1.1%)

Memory

-10.3MiB live, 83.5MiB allocated; 5ms collecting garbage

Counts

47 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

14.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
13.0ms	x
12.0ms	tau
12.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
82.2%	1	`(*.f32 x (PI.f32))`
82.2%	1	`x`
82.2%	1	`tau`
82.2%	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)

regimes51.0ms (1%)

Memory

-24.3MiB live, 73.0MiB allocated; 10ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

16.0ms	tau
12.0ms	(*.f32 x (PI.f32))
10.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
10.0ms	x

Results

Accuracy	Segments	Branch
81.9%	1	`(*.f32 x (PI.f32))`
81.9%	1	`x`
81.9%	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))))`
81.9%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes43.0ms (0.9%)

Memory

23.8MiB live, 70.7MiB allocated; 2ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

12.0ms	x
10.0ms	tau
10.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
10.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
81.6%	1	`(*.f32 x (PI.f32))`
81.6%	1	`x`
81.6%	1	`tau`
81.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes21.0ms (0.4%)

Memory

-13.1MiB live, 34.0MiB allocated; 2ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
81.6%	1	`(*.f32 x (PI.f32))`
81.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
81.6%	1	`x`
81.6%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes20.0ms (0.4%)

Memory

-17.0MiB live, 32.3MiB allocated; 4ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs

#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (log (pow (exp (PI)) x)))) (log (pow (exp (PI)) x))) (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:

4.0ms	tau
4.0ms	x
4.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
81.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
81.6%	1	`(*.f32 x (PI.f32))`
81.6%	1	`x`
81.6%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes17.0ms (0.4%)

Memory

29.1MiB live, 29.1MiB allocated; 0ms 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))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x)))))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)))))
(.f32 (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (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)))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
81.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
81.6%	1	`(*.f32 x (PI.f32))`
81.6%	1	`x`
81.6%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes18.0ms (0.4%)

Memory

-19.3MiB live, 27.7MiB allocated; 2ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
73.1%	1	`(*.f32 x (PI.f32))`
73.1%	1	`x`
73.1%	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))))`
73.1%	1	`tau`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes14.0ms (0.3%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
67.6%	1	`tau`
67.6%	1	`(*.f32 x (PI.f32))`
67.6%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes12.0ms (0.2%)

Memory

-27.8MiB live, 19.3MiB allocated; 3ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

4.0ms	tau
3.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms	(*.f32 x (PI.f32))
2.0ms	x

Results

Accuracy	Segments	Branch
67.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
67.6%	1	`tau`
67.6%	1	`(*.f32 x (PI.f32))`
67.6%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes8.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
67.6%	1	`tau`
67.6%	1	`(*.f32 x (PI.f32))`
67.6%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes7.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Accuracy

Total -20.3b remaining (-191%)

Threshold costs -20.3b (-191%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.8%	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))))`
66.8%	1	`tau`
66.8%	1	`(*.f32 x (PI.f32))`
66.8%	1	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

derivations720.0ms (14.9%)

Memory

6.4MiB live, 717.4MiB allocated; 41ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 440 to 166 computations (62.3% saved)

preprocess154.0ms (3.2%)

Memory

10.9MiB live, 432.3MiB allocated; 25ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 3 073 to 2 004 computations (34.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze14.0ms (0.3%)

sample860.0ms (17.8%)

preprocess42.0ms (0.9%)

series29.0ms (0.6%)

rewrite170.0ms (3.5%)

eval8.0ms (0.2%)

prune25.0ms (0.5%)

series50.0ms (1%)

rewrite173.0ms (3.6%)

eval38.0ms (0.8%)

prune46.0ms (1%)

series210.0ms (4.3%)

rewrite194.0ms (4%)

eval43.0ms (0.9%)

prune61.0ms (1.3%)

series139.0ms (2.9%)

rewrite198.0ms (4.1%)

eval37.0ms (0.8%)

prune86.0ms (1.8%)

regimes159.0ms (3.3%)

regimes176.0ms (3.7%)

regimes130.0ms (2.7%)

regimes116.0ms (2.4%)

regimes112.0ms (2.3%)

regimes114.0ms (2.4%)

regimes111.0ms (2.3%)

regimes106.0ms (2.2%)

regimes98.0ms (2%)

regimes93.0ms (1.9%)

regimes53.0ms (1.1%)

regimes53.0ms (1.1%)

regimes51.0ms (1%)

regimes43.0ms (0.9%)

regimes21.0ms (0.4%)

regimes20.0ms (0.4%)

regimes17.0ms (0.4%)

regimes18.0ms (0.4%)

regimes14.0ms (0.3%)

regimes12.0ms (0.2%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

derivations720.0ms (14.9%)

preprocess154.0ms (3.2%)

end0.0ms (0%)

Profiling