Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

analyze25.0ms (0.6%)

Memory

-12.1MiB live, 35.2MiB allocated; 6ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.2s (29%)

Memory

40.7MiB live, 2 020.0MiB allocated; 228ms collecting garbage

Samples

915.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 704.0ms

ival-mult: 192.0ms (27.3% of total)

ival-sin: 191.0ms (27.1% of total)

ival-sinu: 144.0ms (20.4% of total)

ival-div: 127.0ms (18% of total)

ival-pi: 44.0ms (6.2% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 2.0ms (0.3% of total)

const: 2.0ms (0.3% of total)

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

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

Bogosity

explain188.0ms (4.5%)

Memory

-9.3MiB live, 249.1MiB allocated; 88ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.29582393169403076 3.3285162448883057)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	3
-	0	253

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	3
-	0	0	253

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	1
-	0	0	0

Precision?

0/0

Recall?

0.0

Samples

109.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 26.0ms (49.5% of total)

ival-sinu: 10.0ms (19% of total)

ival-sin: 7.0ms (13.3% of total)

ival-div: 6.0ms (11.4% of total)

ival-pi: 2.0ms (3.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess152.0ms (3.6%)

Memory

-33.2MiB live, 159.2MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (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
0	10	21
0	18	21
1	31	21
2	88	21
3	295	21
4	692	21
5	1137	21
6	1748	21
7	3844	21
8	7458	21
9	7574	21
10	7772	21
0	8015	21

Stop Event

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

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))))

Outputs

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

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

Symmetry

(abs x)

(abs tau)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series43.0ms (1%)

Memory

39.8MiB live, 84.5MiB allocated; 6ms 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
9.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
7.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
5.0ms	x	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	x	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite214.0ms (5.1%)

Memory

-0.5MiB live, 319.7MiB allocated; 92ms 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)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))) (neg.f32 (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (PI.f32) x)) tau))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (PI.f32)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.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 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))) (neg.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (neg.f32 (neg.f32 (.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 tau x) (PI.f32))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 tau (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.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)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.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 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (.f32 x x))))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 x x)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 x x)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32)))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 x x)) (*.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 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.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 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (*.f32 (PI.f32) tau)) 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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.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 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #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 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 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 (pow.f32 (PI.f32) #s(literal 3 binary32)) #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 (pow.f32 (PI.f32) #s(literal 3 binary32)) #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 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) 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 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (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 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.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)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (*.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 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.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 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)

eval14.0ms (0.3%)

Memory: -2.1MiB live, 42.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 591 to 466 computations (87% saved)

prune22.0ms (0.5%)

Memory

13.5MiB live, 58.7MiB allocated; 3ms collecting garbage

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	106	24	130
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	25	131

Accuracy

99.6%

Counts

131 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (PI.f32) tau))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))
▶	78.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	77.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	81.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	78.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
	97.7%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
▶	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	81.3%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	90.8%	(.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 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (.f32 x (PI.f32))))
	84.7%	(.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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	70.1%	(.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 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.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))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	63.4%	#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)))
▶	62.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 197 to 684 computations (42.9% saved)

series68.0ms (1.6%)

Memory

-15.8MiB live, 134.3MiB allocated; 29ms collecting garbage

Counts

31 → 146

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(/.f32 (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 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(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 (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))))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
(.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x)))
(neg.f32 (*.f32 (PI.f32) x))

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)))
16.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)))
9.0ms	x	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)))
7.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)))
6.0ms	x	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* (PI) x)) x) (PI))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* (PI) x)) x) (PI)) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (* (* tau x) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)))

rewrite193.0ms (4.6%)

Memory

31.8MiB live, 301.5MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	645	5889
0	709	5528
1	3739	5377
0	8264	5162

Stop Event

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

Counts

177 → 534

Calls

Call 1

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

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

eval38.0ms (0.9%)

Memory: -18.3MiB live, 81.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 10 547 to 1 167 computations (88.9% saved)

prune40.0ms (1%)

Memory

20.5MiB live, 111.3MiB allocated; 7ms collecting garbage

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	341	25	366
Fresh	9	10	19
Picked	0	5	5
Done	0	1	1
Total	350	41	391

Accuracy

99.7%

Counts

391 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.0%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32)))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (.f32 tau x) (PI.f32))))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
▶	78.7%	(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
▶	97.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))
✓	78.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	78.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (+.f32 (.f32 (PI.f32) x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
	77.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 x #s(literal 1 binary32)))))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	77.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	81.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
▶	69.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	77.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
	81.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
▶	78.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x))
✓	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	70.1%	(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	62.3%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	81.3%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	90.8%	(.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 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (.f32 x (PI.f32))))
	84.7%	(.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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	70.1%	(.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)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
✓	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.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))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x)))
	78.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
	63.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
	77.0%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	76.9%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
	63.4%	#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)))
▶	6.3%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
	52.0%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
✓	62.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 020 to 1 205 computations (40.3% saved)

series42.0ms (1%)

Memory

-9.1MiB live, 87.7MiB allocated; 11ms collecting garbage

Counts

30 → 132

Calls

Call 1

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

Outputs
#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)))) (* (* tau x) (PI))) #s(hole binary32 (* x (PI))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) #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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) #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 (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (PI) 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 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)))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#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 (/ 0 (* (PI) x)) #s(hole binary32 0))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (* -1 (/ (sin (PI)) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))))) x)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI)))))))))))) x)))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* x (* (PI) (sin (PI))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* x (+ (* x (* (pow (PI) 2) (cos (PI)))) (* (PI) (sin (PI)))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* x (+ (* x (+ (* x (+ (* -1/2 (* (pow (PI) 3) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (pow (PI) 3) (sin (PI))))))) (* (pow (PI) 2) (cos (PI))))) (* (PI) (sin (PI)))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* x (+ (* x (+ (* x (+ (* -1/2 (* (pow (PI) 3) (sin (PI)))) (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 3) (sin (PI))))) (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 4) (cos (PI))))) (* -1/6 (* (pow (PI) 4) (cos (PI))))))))) (* (pow (PI) 2) (cos (PI))))) (* (PI) (sin (PI)))))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (* x (PI))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (sin (PI))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (* (PI) (cos (PI)))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))) (* (PI) (cos (PI))))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* -1/6 (* x (* (pow (PI) 3) (cos (PI))))))) (* (PI) (cos (PI))))))))
#s(approx (+ (* (neg (PI)) x) 0) #s(hole binary32 (* -1 (* x (PI)))))
#s(approx (* (* (PI) x) (neg (* (PI) x))) #s(hole binary32 (* -1 (* (pow x 2) (pow (PI) 2)))))
#s(approx (neg (* (PI) x)) #s(hole binary32 (* -1 (* x (PI)))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (neg (PI)) x))) #s(hole binary32 (* -1 (/ (sin (PI)) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (neg (PI)) x))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (neg (PI)) x))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))))) x)))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (neg (PI)) x))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI)))))))))))) x)))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (PI)))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (* x (* (pow (PI) 2) (cos (PI))))) (* tau (* (PI) (sin (PI))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI)))))))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (+ (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI))))) (* x (+ (* -1/6 (* tau (* (pow (PI) 4) (cos (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 4) (cos (PI))))))))))))))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (+ (PI) (* x (PI)))))
#s(approx (* (* (* tau x) (PI)) (* (neg (PI)) x)) #s(hole binary32 (* -1 (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (neg (PI)) x) #s(hole binary32 (* -1 (* x (PI)))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (* -1 (/ (sin (PI)) (* x (PI))))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)))
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#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI)))))))))))) x)))
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#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)))) (* (* tau x) (PI))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))))
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#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) tau)))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (/ (sin (* tau (* x (PI)))) tau)))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (sin (+ (PI) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (neg (PI)) x))) #s(hole binary32 (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI)))))))
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#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
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#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) #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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) #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)))))))))))))
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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)))))) (* 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))))))))))))))
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#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 (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))))
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#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))
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#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(hole binary32 (+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))))
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#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) #s(hole binary32 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))
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#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) #s(hole binary32 (+ (* x (* (PI) (sin (+ (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (+ (PI) (* x (PI)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI))))))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((/ (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/ 0 (* (PI) x)) 0 (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (neg (PI)) x))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (* tau x) (PI)) (* (neg (PI)) x)) (* (neg (PI)) x) (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau))
8.0ms	tau	@	-inf	((/ (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/ 0 (* (PI) x)) 0 (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (neg (PI)) x))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (* tau x) (PI)) (* (neg (PI)) x)) (* (neg (PI)) x) (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau))
6.0ms	x	@	-inf	((/ (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/ 0 (* (PI) x)) 0 (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (neg (PI)) x))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (* tau x) (PI)) (* (neg (PI)) x)) (* (neg (PI)) x) (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau))
5.0ms	tau	@	inf	((/ (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/ 0 (* (PI) x)) 0 (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (neg (PI)) x))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (* tau x) (PI)) (* (neg (PI)) x)) (* (neg (PI)) x) (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau))
4.0ms	x	@	0	((/ (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/ 0 (* (PI) x)) 0 (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (neg (PI)) x))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (* tau x) (PI)) (* (neg (PI)) x)) (* (neg (PI)) x) (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau))

rewrite244.0ms (5.8%)

Memory

31.6MiB live, 348.8MiB allocated; 87ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	680	6083
0	738	5556
1	4141	5391
0	8568	5200

Stop Event

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

Counts

162 → 410

Calls

Call 1

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

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

eval66.0ms (1.6%)

Memory: -0.1MiB live, 127.7MiB allocated; 37ms collecting garbage
Compiler: Compiled 16 731 to 1 596 computations (90.5% saved)

prune67.0ms (1.6%)

Memory

9.6MiB live, 110.2MiB allocated; 30ms collecting garbage

Pruning

54 alts after pruning (48 fresh and 6 done)

	Pruned	Kept	Total
New	457	27	484
Fresh	9	21	30
Picked	5	0	5
Done	0	6	6
Total	471	54	525

Accuracy

99.7%

Counts

525 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.4%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (.f32 (PI.f32) (.f32 tau x)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (.f32 (PI.f32) (.f32 tau x))))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
	67.0%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32)))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (.f32 tau x) (PI.f32))))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	81.3%	(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 tau) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	69.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
	70.1%	(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))
	62.3%	(/.f32 (/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
	58.5%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
	70.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
▶	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))
✓	78.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	78.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (+.f32 (.f32 (PI.f32) x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
	69.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 #s(literal -1 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
	69.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (PI.f32) (.f32 x (*.f32 (neg.f32 (PI.f32)) x))))
▶	69.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (PI.f32))) (.f32 (PI.f32) x))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	62.5%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (PI.f32) (.f32 tau x))) tau) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
	77.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
	81.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	78.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	78.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (*.f32 tau x)) (neg.f32 (PI.f32))) x))
	78.7%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
	78.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (.f32 (PI.f32) (*.f32 (neg.f32 (PI.f32)) x))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x))
✓	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
▶	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	77.4%	(/.f32 (.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 x #s(literal 1 binary32))))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	81.8%	(/.f32 (.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	68.4%	(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
	70.1%	(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	62.3%	(/.f32 #s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	63.4%	(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	62.4%	(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
▶	81.3%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	90.8%	(.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 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (.f32 x (PI.f32))))
	84.7%	(.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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	70.1%	(.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)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
✓	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.8%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (PI.f32) (*.f32 tau x)))))
	97.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x)))
	78.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
	63.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
	76.9%	#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x) x)))
	52.0%	#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
▶	6.3%	#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
	77.0%	#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
✓	62.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 832 to 1 725 computations (39.1% saved)

series55.0ms (1.3%)

Memory

9.7MiB live, 97.7MiB allocated; 10ms collecting garbage

Counts

33 → 149

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (PI) (* (PI) x)) (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) 0 (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x) (neg (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (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)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (neg (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)))
11.0ms	tau	@	inf	((/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (PI) (* (PI) x)) (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) 0 (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x) (neg (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (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)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (neg (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)))
9.0ms	x	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (PI) (* (PI) x)) (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) 0 (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x) (neg (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (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)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (neg (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)))
8.0ms	tau	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (PI) (* (PI) x)) (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) 0 (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x) (neg (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (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)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (neg (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)))
6.0ms	x	@	0	((/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (PI) (* (PI) x)) (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) 0 (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x) (neg (PI)) (* (* (PI) x) (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (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)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (neg (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)))

rewrite247.0ms (5.8%)

Memory

1.9MiB live, 277.4MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	834	6312
0	897	5798
1	5267	5713
0	8210	5496

Stop Event

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

Counts

182 → 296

Calls

Call 1

Inputs
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau x))
(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)
(.f32 (PI.f32) (.f32 (PI.f32) x))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)
#s(approx (sin (+ (* (PI) x) (PI))) (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (neg.f32 (PI.f32)) x)
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(.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x)))
(neg.f32 (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
(.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (*.f32 tau x) (PI.f32))))
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(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(neg.f32 (.f32 (.f32 tau x) (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
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#s(approx (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) #s(hole binary32 (* x (pow (PI) 2))))
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#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 x #s(hole binary32 x))
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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)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)))
#s(approx (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)))
#s(approx (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (* tau (cos (PI)))) (* -1 (/ (sin (PI)) (* x (PI))))) tau)))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* 1/2 (* tau (* x (* (PI) (sin (PI))))))))) tau)))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* tau (+ (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))) (* 1/2 (* x (* (PI) (sin (PI)))))))))) tau)))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (*.f32 (PI.f32) x) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (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 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau))) (PI.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 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)))) (neg.f32 (.f32 (*.f32 (PI.f32) x) (PI.f32))))
(/.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 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau))) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x tau)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) tau) x)
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))) (neg.f32 (*.f32 x tau)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 x tau))
(/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 (.f32 x tau)))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) x)
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x tau))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 (.f32 x tau) (PI.f32))
(.f32 (PI.f32) (.f32 x 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 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 (PI.f32) x)))
(.f32 (.f32 (PI.f32) x) (PI.f32))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(.f32 (PI.f32) (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) (PI.f32)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
#s(literal 0 binary32)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (.f32 (PI.f32) x)) (/.f32 #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)))))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)))) (neg.f32 (neg.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (neg.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin (+ ( (PI) x) (PI))) (*.f32 (neg.f32 (PI.f32)) x))) tau)
(/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau)
#s(approx (sin (+ (* (PI) x) (PI))) (*.f32 (neg.f32 (PI.f32)) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) x)))
(.f32 (.f32 #s(literal -1 binary32) x) (PI.f32))
(.f32 (.f32 #s(literal -1 binary32) (PI.f32)) x)
(.f32 #s(literal -1 binary32) (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) x) #s(literal -1 binary32))
(*.f32 (neg.f32 (PI.f32)) x)
(*.f32 (PI.f32) (neg.f32 x))
(.f32 x (.f32 #s(literal -1 binary32) (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(neg.f32 (*.f32 (PI.f32) x))
(log.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (PI.f32))))
(neg.f32 (PI.f32))
(.f32 (.f32 #s(literal -1 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))
(.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1 binary32))
(.f32 (.f32 (neg.f32 (PI.f32)) x) (*.f32 (PI.f32) x))
(.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x))
(.f32 #s(literal -1 binary32) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))
(.f32 (.f32 x x) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))
(.f32 (PI.f32) (.f32 x (*.f32 (neg.f32 (PI.f32)) x)))
(neg.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) x)))
(.f32 (.f32 #s(literal -1 binary32) x) (PI.f32))
(.f32 (.f32 #s(literal -1 binary32) (PI.f32)) x)
(.f32 #s(literal -1 binary32) (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) x) #s(literal -1 binary32))
(*.f32 (neg.f32 (PI.f32)) x)
(*.f32 (PI.f32) (neg.f32 x))
(.f32 x (.f32 #s(literal -1 binary32) (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(neg.f32 (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (*.f32 (PI.f32) x) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (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 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) (PI.f32))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau))) (PI.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 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)))) (neg.f32 (.f32 (*.f32 (PI.f32) x) (PI.f32))))
(/.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 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau))) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32))
(.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))
(.f32 (.f32 x tau) (.f32 (.f32 (PI.f32) x) (PI.f32)))
(.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 x tau))
(.f32 tau (.f32 x (.f32 (.f32 (PI.f32) x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (.f32 x tau) (neg.f32 (PI.f32)))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (.f32 x tau) (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (neg.f32 (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (.f32 x tau) (neg.f32 (PI.f32)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (.f32 (.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 (.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (.f32 (PI.f32) x) tau))
(/.f32 (sin.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 x tau) (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (*.f32 x tau) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (*.f32 (PI.f32) x) tau)))
(-.f32 (.f32 #s(literal 0 binary32) (cos.f32 (.f32 (neg.f32 tau) (.f32 (PI.f32) x)))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (neg.f32 tau) (.f32 (PI.f32) x)))))
(fma.f32 #s(literal 0 binary32) (cos.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau))))
(fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1 binary32) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) x) tau)) #s(literal 0 binary32)))
(sin.f32 (.f32 (.f32 x tau) (neg.f32 (PI.f32))))
(sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))
(+.f32 (.f32 #s(literal 0 binary32) (cos.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
(+.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1 binary32)) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(literal 0 binary32)))
(cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 x tau #s(literal 1 binary32))))
(*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))
(-.f32 (PI.f32) (.f32 (neg.f32 tau) (.f32 (PI.f32) x)))
(/.f32 (-.f32 (.f32 (PI.f32) (PI.f32)) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32))) (-.f32 (PI.f32) (.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 3 binary32))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)))))
(fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))
(fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))
(fma.f32 (PI.f32) (*.f32 x tau) (PI.f32))
(fma.f32 tau (*.f32 (PI.f32) x) (PI.f32))
(+.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32))
(+.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 (*.f32 x tau))))
(.f32 (.f32 #s(literal -1 binary32) tau) (*.f32 (PI.f32) x))
(.f32 (neg.f32 (.f32 x tau)) (PI.f32))
(.f32 #s(literal -1 binary32) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (.f32 (*.f32 (PI.f32) x) tau) #s(literal -1 binary32))
(.f32 (.f32 x tau) (neg.f32 (PI.f32)))
(neg.f32 (.f32 (.f32 (PI.f32) x) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
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#s(approx tau tau)
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#s(approx (/ (sin (* (* tau x) (PI))) tau) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (*.f32 (PI.f32) x)))
#s(approx (/ (sin (* (* tau x) (PI))) tau) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) 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 (* (* tau x) (PI))) (* tau x)) (sin (* (PI) 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 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) 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 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.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 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) 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 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (.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 (fma.f32 (fma.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 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (neg.f32 (.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
#s(approx (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 tau x) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal -1 binary32)) (PI.f32)) (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) tau) (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)) (neg.f32 (.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))) tau (neg.f32 (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 x tau) (.f32 (.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32))) tau (neg.f32 (.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))) tau (neg.f32 (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) tau (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) x)))) tau))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 0 binary32) x) tau) #s(literal 1/2 binary32) #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau))
#s(approx (/ (sin (+ (* (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) #s(literal 0 binary32) (.f32 (.f32 #s(literal 1/6 binary32) tau) (neg.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 0 binary32)) tau) #s(literal -1/2 binary32) (.f32 (neg.f32 (PI.f32)) x)) tau #s(literal 0 binary32)))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (pow.f32 (.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal -1/2 binary32))) tau (.f32 (neg.f32 (PI.f32)) x)) tau #s(literal 0 binary32)))
#s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* (* tau x) (PI)) (PI)) (neg.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) tau)))

eval40.0ms (0.9%)

Memory: -6.9MiB live, 81.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 12 782 to 1 368 computations (89.3% saved)

prune73.0ms (1.7%)

Memory

0.5MiB live, 143.1MiB allocated; 17ms collecting garbage

Pruning

56 alts after pruning (49 fresh and 7 done)

	Pruned	Kept	Total
New	372	22	394
Fresh	16	27	43
Picked	1	4	5
Done	3	3	6
Total	392	56	448

Accuracy

99.8%

Counts

448 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.4%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (.f32 (PI.f32) (.f32 tau x)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (.f32 (PI.f32) (.f32 tau x))))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
	66.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 tau x) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
	62.3%	(/.f32 (/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
	97.4%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	81.2%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	58.5%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	70.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	90.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau 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 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	70.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
✓	78.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	78.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (+.f32 (.f32 (PI.f32) x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
✓	69.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	62.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	62.5%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (PI.f32) (.f32 tau x))) tau) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
	77.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
	81.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	78.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (*.f32 tau x)) (neg.f32 (PI.f32))) x))
	78.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (.f32 (PI.f32) (*.f32 (neg.f32 (PI.f32)) x))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	81.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (.f32 (.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
	97.7%	(/.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)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x))
✓	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 tau (.f32 x (.f32 (.f32 (PI.f32) x) (PI.f32)))))
	77.4%	(/.f32 (.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 x #s(literal 1 binary32))))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	81.8%	(/.f32 (.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	63.4%	(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* tau x)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	68.4%	(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	70.1%	(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	62.3%	(/.f32 #s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	63.4%	(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	62.4%	(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
	81.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (.f32 x tau) (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
✓	81.3%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	58.5%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.2%	(.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))))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.7%	(.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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	70.1%	(.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)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.7%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	78.8%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (PI.f32) (*.f32 tau x)))))
	97.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))))
	97.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x)))
	77.9%	(.f32 #s(approx (/ (sin (+ ( (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 0 binary32) tau))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	78.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
	76.9%	#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x) x)))
	52.0%	#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
✓	6.3%	#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
	77.0%	#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
✓	62.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 276 to 1 320 computations (69.1% saved)

regimes115.0ms (2.7%)

Memory

18.3MiB live, 199.8MiB allocated; 22ms collecting garbage

Counts

99 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (PI.f32) (.f32 tau x))) tau) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) tau) (.f32 (.f32 (PI.f32) x) (neg.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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.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) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* tau x)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.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 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (PI.f32) (.f32 x (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 #s(literal -1 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
(.f32 #s(approx (/ (sin (+ ( (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 0 binary32) tau))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 tau (.f32 x (.f32 (.f32 (PI.f32) x) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x))
(/.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 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (.f32 (.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (.f32 (PI.f32) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (*.f32 tau x)) (neg.f32 (PI.f32))) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (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 (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 (.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 tau x) (PI.f32))) (/.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 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (.f32 x tau) (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 tau) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (+.f32 (.f32 (PI.f32) x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(.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 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (PI.f32))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32)))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (.f32 tau x) (PI.f32))))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 tau x) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (.f32 (PI.f32) (.f32 tau x)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (.f32 (PI.f32) (.f32 tau x))))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.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 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau 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 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 x #s(literal 1 binary32))))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 x #s(literal 1 binary32)))))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))

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:

31.0ms	x
27.0ms	tau
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
98.0%	1	`(*.f32 x (PI.f32))`
98.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
98.0%	1	`x`
98.0%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes77.0ms (1.8%)

Memory

-8.7MiB live, 131.2MiB allocated; 16ms collecting garbage

Counts

63 → 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) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (PI.f32) (.f32 tau x))) tau) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) tau) (.f32 (.f32 (PI.f32) x) (neg.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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.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) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* tau x)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.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 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (PI.f32) (.f32 x (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 #s(literal -1 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
(.f32 #s(approx (/ (sin (+ ( (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 0 binary32) tau))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 tau (.f32 x (.f32 (.f32 (PI.f32) x) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x))
(/.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 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (.f32 (.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (.f32 (PI.f32) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (*.f32 tau x)) (neg.f32 (PI.f32))) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (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 (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 (.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 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

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

Calls

4 calls:

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))))
18.0ms	tau
15.0ms	x
15.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes54.0ms (1.3%)

Memory

10.6MiB live, 99.5MiB allocated; 8ms collecting garbage

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (PI.f32) (.f32 tau x))) tau) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) tau) (.f32 (.f32 (PI.f32) x) (neg.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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.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) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* tau x)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.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 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (PI.f32) (.f32 x (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 #s(literal -1 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
(.f32 #s(approx (/ (sin (+ ( (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 0 binary32) tau))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 tau (.f32 x (.f32 (.f32 (PI.f32) x) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x))))

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

Calls

4 calls:

14.0ms	(*.f32 x (PI.f32))
14.0ms	x
12.0ms	tau
11.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes133.0ms (3.2%)

Memory

-3.1MiB live, 93.6MiB allocated; 140ms collecting garbage

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (PI.f32) (.f32 tau x))) tau) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) tau) (.f32 (.f32 (PI.f32) x) (neg.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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.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) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* tau x)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.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 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (PI.f32) (.f32 x (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 #s(literal -1 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
(.f32 #s(approx (/ (sin (+ ( (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 0 binary32) tau))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x)))

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

Calls

4 calls:

96.0ms	x
13.0ms	(*.f32 x (PI.f32))
11.0ms	tau
11.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes48.0ms (1.1%)

Memory

3.2MiB live, 93.1MiB allocated; 6ms collecting garbage

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (PI.f32) (.f32 tau x))) tau) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) tau) (.f32 (.f32 (PI.f32) x) (neg.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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.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) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* tau x)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.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 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (PI.f32) (.f32 x (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 #s(literal -1 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
(.f32 #s(approx (/ (sin (+ ( (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 0 binary32) tau))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) 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 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
84.7%	1	`(*.f32 x (PI.f32))`
84.7%	1	`x`
84.7%	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))))`
84.7%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes48.0ms (1.1%)

Memory

40.9MiB live, 90.5MiB allocated; 10ms 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) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (PI.f32) (.f32 tau x))) tau) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) tau) (.f32 (.f32 (PI.f32) x) (neg.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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.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) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* tau x)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.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 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (PI.f32) (.f32 x (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 #s(literal -1 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
(.f32 #s(approx (/ (sin (+ ( (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 0 binary32) tau))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #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 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Calls

4 calls:

17.0ms	x
10.0ms	(*.f32 x (PI.f32))
10.0ms	tau
10.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
78.1%	1	`(*.f32 x (PI.f32))`
78.1%	1	`x`
78.1%	1	`tau`
78.1%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes48.0ms (1.1%)

Memory

-32.3MiB live, 101.8MiB allocated; 10ms collecting garbage

Counts

38 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (PI.f32) (.f32 tau x))) tau) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) tau) (.f32 (.f32 (PI.f32) x) (neg.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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.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) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* tau x)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.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 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (PI.f32) (.f32 x (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 #s(literal -1 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
(.f32 #s(approx (/ (sin (+ ( (* tau x) (PI)) (PI))) (neg (* (* tau x) (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 0 binary32) tau))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
77.9%	1	`(*.f32 x (PI.f32))`
77.9%	1	`x`
77.9%	1	`tau`
77.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes49.0ms (1.2%)

Memory

16.0MiB live, 110.5MiB allocated; 15ms collecting garbage

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (PI.f32) (.f32 tau x))) tau) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) tau) (.f32 (.f32 (PI.f32) x) (neg.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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.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) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (PI) x))) (* (PI) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* tau x)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* tau x) (PI))) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.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 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (PI.f32) (.f32 x (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 #s(literal -1 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 0 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))

Outputs

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

Calls

4 calls:

16.0ms	tau
13.0ms	(*.f32 x (PI.f32))
10.0ms	x
9.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
77.0%	1	`(*.f32 x (PI.f32))`
77.0%	1	`x`
77.0%	1	`tau`
77.0%	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 26 to 18 computations (30.8% saved)

regimes55.0ms (1.3%)

Memory

-5.2MiB live, 39.0MiB allocated; 8ms 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) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (PI.f32) (.f32 tau x))) tau) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) tau) (.f32 (.f32 (PI.f32) x) (neg.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 (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
#s(approx (/ (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))

Outputs
#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)))

Calls

4 calls:

42.0ms	(*.f32 x (PI.f32))
4.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms	x
4.0ms	tau

Results

Accuracy	Segments	Branch
63.4%	1	`(*.f32 x (PI.f32))`
63.4%	1	`x`
63.4%	1	`tau`
63.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes13.0ms (0.3%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms collecting garbage

Accuracy

Total -18.1b remaining (-151.6%)

Threshold costs -18.1b (-151.6%)

Counts

9 → 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) (PI))) (sin (* (* tau x) (PI)))) tau) (* (* (PI) x) (neg (* (PI) x)))) #s(literal 0 binary32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) tau) (.f32 (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32)) x)) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (PI.f32) (.f32 tau x))) tau) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) tau) (.f32 (.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))

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

Calls

4 calls:

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))
3.0ms	x
3.0ms	tau

Results

Accuracy	Segments	Branch
62.7%	1	`tau`
62.7%	1	`(*.f32 x (PI.f32))`
62.7%	1	`x`
62.7%	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 26 to 18 computations (30.8% saved)

simplify94.0ms (2.2%)

Memory

-15.3MiB live, 81.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	290
1	112	290
2	237	288
3	624	288
4	1564	288
5	6475	288

Stop Event

1×	node limit

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

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

derivations386.0ms (9.1%)

Memory

-16.4MiB live, 268.1MiB allocated; 35ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 294 to 80 computations (72.8% saved)

preprocess47.0ms (1.1%)

Memory

38.9MiB live, 85.8MiB allocated; 3ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 966 to 340 computations (64.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze25.0ms (0.6%)

sample1.2s (29%)

explain188.0ms (4.5%)

preprocess152.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series43.0ms (1%)

rewrite214.0ms (5.1%)

eval14.0ms (0.3%)

prune22.0ms (0.5%)

series68.0ms (1.6%)

rewrite193.0ms (4.6%)

eval38.0ms (0.9%)

prune40.0ms (1%)

series42.0ms (1%)

rewrite244.0ms (5.8%)

eval66.0ms (1.6%)

prune67.0ms (1.6%)

series55.0ms (1.3%)

rewrite247.0ms (5.8%)

eval40.0ms (0.9%)

prune73.0ms (1.7%)

regimes115.0ms (2.7%)

regimes77.0ms (1.8%)

regimes54.0ms (1.3%)

regimes133.0ms (3.2%)

regimes48.0ms (1.1%)

regimes48.0ms (1.1%)

regimes48.0ms (1.1%)

regimes49.0ms (1.2%)

regimes55.0ms (1.3%)

regimes13.0ms (0.3%)

simplify94.0ms (2.2%)

derivations386.0ms (9.1%)

preprocess47.0ms (1.1%)

end0.0ms (0%)

Profiling