Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze29.0ms (0.7%)

Memory

-4.5MiB live, 39.3MiB allocated; 10ms 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)

sample1.1s (27.3%)

Memory

-5.6MiB live, 1 697.8MiB allocated; 266ms collecting garbage

Samples

865.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 611.0ms

ival-div: 160.0ms (26.2% of total)

ival-mult: 157.0ms (25.7% of total)

ival-sin: 130.0ms (21.3% of total)

ival-sinu: 123.0ms (20.1% of total)

ival-pi: 33.0ms (5.4% of total)

adjust: 3.0ms (0.5% of total)

ival-assert: 3.0ms (0.5% of total)

const: 2.0ms (0.3% of total)

ival-<=: 1.0ms (0.2% of total)

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

Bogosity

explain229.0ms (5.7%)

Memory

1.9MiB live, 232.6MiB allocated; 111ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
4	-	1	(0.8038053512573242 2.525264024734497)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
1	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
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	-	`(.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`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f32`	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`	cancellation	3	0
`sin.f32`	`(sin.f32 (*.f32 x (PI.f32)))`	cancellation	1	1

Confusion

	Predicted +	Predicted -
+	4	1
-	0	251

Precision

1.0

Recall

0.8

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	1
-	0	1	250

Precision?

0.8

Recall?

0.8

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 12.0ms (33.4% of total)

ival-sinu: 8.0ms (22.2% of total)

ival-sin: 7.0ms (19.5% of total)

ival-div: 6.0ms (16.7% of total)

ival-pi: 2.0ms (5.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess141.0ms (3.5%)

Memory

-27.9MiB live, 163.7MiB allocated; 16ms 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

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(.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)

series42.0ms (1%)

Memory

7.9MiB live, 56.8MiB allocated; 8ms 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
20.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	x	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	x	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite227.0ms (5.6%)

Memory

-10.7MiB live, 262.8MiB allocated; 28ms 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)

eval12.0ms (0.3%)

Memory: 35.4MiB live, 35.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 591 to 466 computations (87% saved)

prune20.0ms (0.5%)

Memory

8.4MiB live, 54.3MiB allocated; 3ms collecting garbage

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	110	20	130
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	21	131

Accuracy

99.2%

Counts

131 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(/.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))
	79.4%	(/.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))))
	97.3%	(/.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)))
	96.8%	(/.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)))
	79.4%	(/.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))))
	96.7%	(/.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)))
▶	96.9%	(/.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))))
	77.8%	(/.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))))
▶	82.0%	(/.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)))
	79.4%	(/.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))))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
✓	97.3%	(.f32 (/.f32 (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))))
	83.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	68.8%	(.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)))
	96.7%	(.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))))
	96.7%	(.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))))
▶	77.3%	(.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))))
	76.6%	#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)))
	61.9%	#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)))
▶	61.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 981 to 566 computations (42.3% saved)

series69.0ms (1.7%)

Memory

-50.7MiB live, 151.6MiB allocated; 19ms collecting garbage

Counts

32 → 134

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	tau	@	0	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
14.0ms	x	@	0	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
11.0ms	x	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
9.0ms	tau	@	inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
7.0ms	tau	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))

rewrite196.0ms (4.8%)

Memory

41.9MiB live, 280.7MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	721	5508
0	778	5162
1	4392	5108
0	8322	4909

Stop Event

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

Counts

166 → 310

Calls

Call 1

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

eval42.0ms (1%)

Memory: -5.7MiB live, 85.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 13 288 to 1 500 computations (88.7% saved)

prune50.0ms (1.2%)

Memory

-1.9MiB live, 98.6MiB allocated; 7ms collecting garbage

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	396	36	432
Fresh	10	5	15
Picked	3	2	5
Done	0	1	1
Total	409	44	453

Accuracy

99.4%

Counts

453 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.6%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
	96.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	79.4%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal -1 binary32)))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
▶	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	79.4%	(/.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))))
✓	96.9%	(/.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))))
	95.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (exp.f32 (.f32 (log.f32 (.f32 (.f32 x tau) (PI.f32))) #s(literal 1 binary32)))))
	96.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	81.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	82.0%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (PI.f32)) x))
	81.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
▶	58.7%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	79.4%	(/.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))))
	82.0%	(/.f32 (.f32 (sin.f32 (+.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
▶	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	84.6%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	77.3%	(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	68.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	61.9%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	60.9%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	61.7%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	60.8%	(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	60.8%	(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
✓	97.3%	(.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))))
	83.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	68.8%	(.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)))
	82.0%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x))))
	77.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	62.0%	(.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 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	77.1%	(.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))) #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))))
	66.9%	(.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	77.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	77.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (.f32 x tau) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	76.6%	#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)))
	76.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.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 0 binary32) tau) #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))
▶	6.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) tau) (*.f32 (PI.f32) x)))
✓	61.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 413 to 1 454 computations (39.7% saved)

series53.0ms (1.3%)

Memory

10.0MiB live, 57.5MiB allocated; 2ms collecting garbage

Counts

41 → 148

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	((/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (* (PI) x)) (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) (/ 0 tau) 0 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (* x (PI))) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (pow (* (PI) x) 2) (* tau tau)) -1/6) 1) (* (pow (* (PI) x) 2) (* tau tau)) (pow (* (PI) x) 2) 2 (* tau tau) -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (* tau x) (PI))) (* (* (PI) x) tau))
7.0ms	x	@	-inf	((/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (* (PI) x)) (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) (/ 0 tau) 0 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (* x (PI))) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (pow (* (PI) x) 2) (* tau tau)) -1/6) 1) (* (pow (* (PI) x) 2) (* tau tau)) (pow (* (PI) x) 2) 2 (* tau tau) -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (* tau x) (PI))) (* (* (PI) x) tau))
6.0ms	tau	@	-inf	((/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (* (PI) x)) (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) (/ 0 tau) 0 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (* x (PI))) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (pow (* (PI) x) 2) (* tau tau)) -1/6) 1) (* (pow (* (PI) x) 2) (* tau tau)) (pow (* (PI) x) 2) 2 (* tau tau) -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (* tau x) (PI))) (* (* (PI) x) tau))
6.0ms	tau	@	inf	((/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (* (PI) x)) (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) (/ 0 tau) 0 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (* x (PI))) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (pow (* (PI) x) 2) (* tau tau)) -1/6) 1) (* (pow (* (PI) x) 2) (* tau tau)) (pow (* (PI) x) 2) 2 (* tau tau) -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (* tau x) (PI))) (* (* (PI) x) tau))
4.0ms	tau	@	0	((/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (* (PI) x)) (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) (/ 0 tau) 0 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (* x (PI))) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (pow (* (PI) x) 2) (* tau tau)) -1/6) 1) (* (pow (* (PI) x) 2) (* tau tau)) (pow (* (PI) x) 2) 2 (* tau tau) -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (* tau x) (PI))) (* (* (PI) x) tau))

rewrite206.0ms (5.1%)

Memory

10.1MiB live, 287.5MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	698	5942
0	768	5541
1	4130	5386
0	8256	5175

Stop Event

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

Counts

189 → 407

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))))
(sin.f32 (.f32 (.f32 x tau) (PI.f32)))
(.f32 (.f32 x tau) (PI.f32))
(*.f32 x tau)
x
tau
(PI.f32)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 x tau) (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)))) (/.f32 (/.f32 #s(literal 0 binary32) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(literal 0 binary32) tau) (*.f32 (PI.f32) x))
(/.f32 #s(literal 0 binary32) tau)
#s(literal 0 binary32)
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 tau x)
#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
(.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))
(neg.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 tau tau))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 tau tau)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) x) tau))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 (PI.f32) x) tau)
#s(approx (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (* x (PI))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (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 (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (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 (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (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 (* (* x tau) (PI))) #s(hole binary32 (* tau (* x (PI)))))
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#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #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))) (sin (* x (PI)))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #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))) (sin (* x (PI)))) (* (neg (* (* tau x) (PI))) (* (PI) x))) #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))) (sin (* x (PI)))) #s(hole binary32 (* (sin (PI)) (sin (* x (PI))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) #s(hole binary32 (+ (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI)))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (* (cos (PI)) (sin (* x (PI)))))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
#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 (/ (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 (* tau tau) #s(hole binary32 (pow tau 2)))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* (PI) x) 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 (* (* tau x) (PI))) (* (* (PI) x) 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 (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* (pow (* (PI) x) 2) (* tau tau)) -1/6) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))

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

eval42.0ms (1%)

Memory: -10.8MiB live, 88.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 13 455 to 1 502 computations (88.8% saved)

prune61.0ms (1.5%)

Memory

-10.9MiB live, 131.8MiB allocated; 16ms collecting garbage

Pruning

52 alts after pruning (48 fresh and 4 done)

	Pruned	Kept	Total
New	404	21	425
Fresh	9	27	36
Picked	4	1	5
Done	0	3	3
Total	417	52	469

Accuracy

99.4%

Counts

469 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.6%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	96.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	79.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) x))
	79.4%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal -1 binary32)))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
✓	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
✓	96.9%	(/.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))))
	95.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (exp.f32 (.f32 (log.f32 (.f32 (.f32 x tau) (PI.f32))) #s(literal 1 binary32)))))
	96.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	81.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	58.7%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	81.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
	79.4%	(/.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))))
▶	82.0%	(/.f32 (.f32 (sin.f32 (+.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	58.7%	(/.f32 (.f32 (sin.f32 (+.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	57.8%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) tau)))) (*.f32 (PI.f32) x))
▶	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	68.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) x))
	68.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
▶	58.2%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	58.1%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	84.6%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	60.1%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	77.3%	(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
▶	68.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	61.0%	(/.f32 (.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) x) (neg.f32 (.f32 (PI.f32) tau))) x #s(literal 0 binary32))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	61.0%	(/.f32 (.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (.f32 (PI.f32) x)) tau #s(literal 0 binary32))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	61.9%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	60.9%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	61.7%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	60.8%	(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	60.8%	(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
✓	97.3%	(.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))))
	83.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	68.8%	(.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)))
	82.0%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x))))
	82.0%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (PI.f32)) x)))
	58.7%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (PI.f32)) x)))
	62.0%	(.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 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	77.1%	(.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))) #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))))
	66.9%	(.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	77.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	66.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	77.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) (.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	76.6%	#s(approx (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (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)))
	76.3%	#s(approx (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (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 0 binary32) tau) #s(literal -1/2 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
▶	6.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (/ 0 tau) (* (PI) x)) #s(literal 0 binary32)))
✓	61.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 932 to 1 782 computations (39.2% saved)

series39.0ms (1%)

Memory

10.9MiB live, 93.8MiB allocated; 8ms collecting garbage

Counts

35 → 166

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	tau	@	-inf	((/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (sin (* (PI) x)) (* (PI) x) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) 0 (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (PI) (* (* tau x) (PI))) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (+ (* (PI) x) (/ (PI) tau)) tau) (+ (* (PI) x) (/ (PI) tau)) (/ (PI) tau) (sin (* x (PI))) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)))
8.0ms	x	@	-inf	((/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (sin (* (PI) x)) (* (PI) x) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) 0 (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (PI) (* (* tau x) (PI))) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (+ (* (PI) x) (/ (PI) tau)) tau) (+ (* (PI) x) (/ (PI) tau)) (/ (PI) tau) (sin (* x (PI))) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)))
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4.0ms	x	@	0	((/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (sin (* (PI) x)) (* (PI) x) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) 0 (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (PI) (* (* tau x) (PI))) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* x (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (+ (* (PI) x) (/ (PI) tau)) tau) (+ (* (PI) x) (/ (PI) tau)) (/ (PI) tau) (sin (* x (PI))) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)))

rewrite285.0ms (7%)

Memory

30.5MiB live, 301.1MiB allocated; 121ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	686	6623
0	744	6052
1	3921	5966
0	8593	5719

Stop Event

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

Counts

201 → 377

Calls

Call 1

Inputs
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#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (* (sin (PI)) (sin (* x (PI))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI)))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (* (cos (PI)) (sin (* x (PI)))))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))))
#s(approx (sin (+ (* (* x tau) (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 (+ (* (* x tau) (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 (* (+ (* (PI) x) (/ (PI) tau)) tau) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* x tau) (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)))))))
#s(approx (* (+ (* (PI) x) (/ (PI) tau)) tau) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))

Outputs
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.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)))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (neg.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x)))))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)))) (neg.f32 (neg.f32 (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))))) (neg.f32 (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (.f32 (PI.f32) x))))
(/.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 (.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 x) (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 tau x) (PI.f32))))
(/.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) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.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 (.f32 (neg.f32 (PI.f32)) x) tau))
(/.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 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (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 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (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)) (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (PI.f32) x))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (PI.f32)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.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)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (neg.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) (neg.f32 (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))) (neg.f32 (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.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 (.f32 (PI.f32) x))) (.f32 x (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (neg.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (*.f32 (PI.f32) x))))) #s(literal -2 binary32))
(/.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 (cos.f32 (-.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(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 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) tau))
(*.f32 tau x)
(*.f32 x tau)
x
tau
(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))
(.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x)
(.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))
(.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32)))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) #s(approx (/ (/ 0 tau) (* (PI) x)) #s(literal 0 binary32)))
#s(approx (/ (/ 0 tau) (* (PI) x)) #s(literal 0 binary32))
#s(literal 0 binary32)
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau))
(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32))))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))))) (neg.f32 (neg.f32 (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (.f32 (PI.f32) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (PI.f32)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (neg.f32 (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))
(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
#s(approx (/ (sin (* (PI) x)) 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 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) tau))
(*.f32 tau x)
(*.f32 x tau)
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32))
(.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32)))
(.f32 (/.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 (neg.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau)))))) (neg.f32 (neg.f32 (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (PI.f32) x))
(/.f32 (neg.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))))) (neg.f32 (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x))))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))))
(.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) #s(approx (sin ( (PI) x)) (*.f32 (PI.f32) x)))
(sin.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau)))
#s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
(*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau)
(*.f32 tau (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)))
(fma.f32 (.f32 tau x) (PI.f32) (.f32 (/.f32 (PI.f32) tau) tau))
(fma.f32 (.f32 tau x) (PI.f32) (.f32 tau (/.f32 (PI.f32) tau)))
(fma.f32 (.f32 (PI.f32) x) tau (.f32 (/.f32 (PI.f32) tau) tau))
(fma.f32 (.f32 (PI.f32) x) tau (.f32 tau (/.f32 (PI.f32) tau)))
(fma.f32 (PI.f32) (.f32 tau x) (.f32 (/.f32 (PI.f32) tau) tau))
(fma.f32 (PI.f32) (.f32 tau x) (.f32 tau (/.f32 (PI.f32) tau)))
(fma.f32 tau (.f32 (PI.f32) x) (.f32 (/.f32 (PI.f32) tau) tau))
(fma.f32 tau (.f32 (PI.f32) x) (.f32 tau (/.f32 (PI.f32) tau)))
(fma.f32 x (.f32 (PI.f32) tau) (.f32 (/.f32 (PI.f32) tau) tau))
(fma.f32 x (.f32 (PI.f32) tau) (.f32 tau (/.f32 (PI.f32) tau)))
(+.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (/.f32 (PI.f32) tau) tau))
(+.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 tau (/.f32 (PI.f32) tau)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (pow.f32 (/.f32 (PI.f32) tau) #s(literal 2 binary32)))) (neg.f32 (-.f32 (.f32 (PI.f32) x) (/.f32 (PI.f32) tau))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (pow.f32 (/.f32 (PI.f32) tau) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) x) (/.f32 (PI.f32) tau))))))
(/.f32 (-.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (pow.f32 (/.f32 (PI.f32) tau) #s(literal 2 binary32))) (-.f32 (.f32 (PI.f32) x) (/.f32 (PI.f32) tau)))
(/.f32 (+.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (pow.f32 (/.f32 (PI.f32) tau) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) x) (/.f32 (PI.f32) tau)))))
(fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))
(fma.f32 x (PI.f32) (/.f32 (PI.f32) tau))
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(/.f32 (neg.f32 (PI.f32)) (neg.f32 tau))
(/.f32 (PI.f32) tau)
#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
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(-.f32 (PI.f32) (.f32 (neg.f32 tau) (.f32 (PI.f32) x)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))
(fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))
(fma.f32 tau (*.f32 (PI.f32) x) (PI.f32))
(fma.f32 x (*.f32 (PI.f32) tau) (PI.f32))
(+.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32))
(+.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32)))
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#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
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#s(approx (sin (* (* x tau) (PI))) (.f32 (.f32 tau x) (PI.f32)))
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#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))))
#s(approx (sin (* (* x tau) (PI))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
#s(approx (sin (* (PI) x)) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) 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))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) 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))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)))
#s(approx (/ (sin (* (PI) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (sin (* (* x tau) (PI))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
#s(approx (+ (* (* tau x) (PI)) (PI)) (.f32 (.f32 tau x) (PI.f32)))
#s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))
#s(approx (* (+ (* (PI) x) (/ (PI) tau)) tau) (.f32 (.f32 tau x) (PI.f32)))
#s(approx (* (+ (* (PI) x) (/ (PI) tau)) tau) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))
#s(approx (+ (* (PI) x) (/ (PI) tau)) (*.f32 (PI.f32) x))
#s(approx (+ (* (PI) x) (/ (PI) tau)) (*.f32 (+.f32 (/.f32 (/.f32 (PI.f32) tau) x) (PI.f32)) x))
#s(approx (sin (* (PI) x)) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
#s(approx (+ (* (* tau x) (PI)) (PI)) (.f32 (.f32 tau x) (PI.f32)))
#s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))
#s(approx (+ (* (* tau x) (PI)) (PI)) (neg.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x))) x)))
#s(approx (* (+ (* (PI) x) (/ (PI) tau)) tau) (neg.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x))) x)))
#s(approx (+ (* (PI) x) (/ (PI) tau)) (neg.f32 (.f32 (.f32 #s(literal -1 binary32) (+.f32 (/.f32 (/.f32 (PI.f32) tau) x) (PI.f32))) x)))
#s(approx (+ (* (* tau x) (PI)) (PI)) (neg.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x))) x)))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (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 tau) (PI))) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (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 (* (* x tau) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 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 (* (* x tau) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 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 (* (* x tau) (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 (* (* x tau) (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 (* (* x tau) (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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (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 tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (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)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (.f32 (pow.f32 (.f32 tau x) #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1/6 binary32) (.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (.f32 (PI.f32) x)))))) (.f32 tau tau))) (.f32 tau tau) (.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau))
#s(approx (sin (* (* x tau) (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 (* (* x tau) (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 (* (* x tau) (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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (neg.f32 (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 tau x) (/.f32 (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (PI.f32) x))) (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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) tau) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x))) (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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 tau x) (.f32 (neg.f32 (PI.f32)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x)))) 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 (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (fma.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (neg.f32 (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) x)) tau (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x)))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1/2 binary32))) tau (.f32 (.f32 (neg.f32 (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) x)) tau (.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (.f32 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 0 binary32)) tau) #s(literal -1/2 binary32))) 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 (+ (* (PI) x) (/ (PI) tau)) (/.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) tau))
#s(approx (/ (PI) tau) (/.f32 (PI.f32) tau))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (neg.f32 (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
#s(approx (/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 tau x) (/.f32 (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (PI.f32) x))) (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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) tau) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x))) (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 (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 tau x) (.f32 (neg.f32 (PI.f32)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x)))) 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 (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (fma.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (neg.f32 (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) x)) tau (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x)))))
#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1/2 binary32))) tau (.f32 (.f32 (neg.f32 (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) x)) tau (.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (.f32 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 0 binary32)) tau) #s(literal -1/2 binary32))) 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 (* (+ (* (PI) x) (/ (PI) tau)) tau) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#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)))
#s(approx (* (+ (* (PI) x) (/ (PI) tau)) tau) (neg.f32 (.f32 (.f32 #s(literal -1 binary32) (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)))

eval37.0ms (0.9%)

Memory: -5.4MiB live, 43.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 12 644 to 1 337 computations (89.4% saved)

prune66.0ms (1.6%)

Memory

1.6MiB live, 95.3MiB allocated; 5ms collecting garbage

Pruning

64 alts after pruning (57 fresh and 7 done)

	Pruned	Kept	Total
New	358	22	380
Fresh	8	35	43
Picked	2	3	5
Done	0	4	4
Total	368	64	432

Accuracy

99.4%

Counts

432 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.6%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	68.5%	(/.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 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
	81.9%	(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (PI.f32) x))
	96.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	79.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) x))
	68.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (PI.f32)) (.f32 (.f32 tau x) (PI.f32)))
	79.4%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal -1 binary32)))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
✓	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
✓	96.9%	(/.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))))
	95.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (exp.f32 (.f32 (log.f32 (.f32 (.f32 x tau) (PI.f32))) #s(literal 1 binary32)))))
	96.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	81.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	58.7%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	79.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 tau x) (PI.f32))))
	81.9%	(/.f32 (.f32 (sin.f32 (+.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (PI.f32)) x))
	58.7%	(/.f32 (.f32 (sin.f32 (+.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	57.8%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) tau)))) (*.f32 (PI.f32) x))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
✓	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	68.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) x))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	58.1%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	57.8%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 #s(approx (+ ( (PI) x) (/ (PI) tau)) (.f32 (+.f32 (/.f32 (/.f32 (PI.f32) tau) x) (PI.f32)) x)) tau))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	84.6%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	60.1%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	77.3%	(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	68.7%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (.f32 (PI.f32) tau))
	58.7%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)))
✓	68.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	68.7%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (* (PI) (* (* tau x) (PI))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)))
	61.0%	(/.f32 (.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) x) (.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	61.0%	(/.f32 (.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (fma.f32 (.f32 (neg.f32 (PI.f32)) x) tau #s(literal 0 binary32))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	61.9%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	60.9%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	61.7%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	60.8%	(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	60.8%	(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
✓	97.3%	(.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))))
	83.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	68.8%	(.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)))
	82.0%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (PI.f32)) x)))
	81.9%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x))))
	58.7%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 tau x) (neg.f32 (PI.f32))) (PI.f32)) x)))
	96.8%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x)))
	58.2%	(.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x))))
	62.0%	(.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 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	77.1%	(.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))) #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))))
	66.9%	(.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	77.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	66.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	77.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) (.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	68.8%	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32))))
	76.6%	#s(approx (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (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)))
	76.3%	#s(approx (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (* x tau) (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 0 binary32) tau) #s(literal -1/2 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
✓	6.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (/ 0 tau) (* (PI) x)) #s(literal 0 binary32)))
✓	61.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 651 to 1 537 computations (67% saved)

regimes113.0ms (2.8%)

Memory

-8.9MiB live, 133.4MiB allocated; 20ms collecting garbage

Counts

100 → 1

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	tau
26.0ms	(*.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))))
24.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes90.0ms (2.2%)

Memory

5.2MiB live, 102.4MiB allocated; 8ms collecting garbage

Counts

82 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	tau
22.0ms	x
20.0ms	(*.f32 x (PI.f32))
20.0ms	(.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
97.4%	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))))`
97.4%	1	`tau`
97.4%	1	`(*.f32 x (PI.f32))`
97.4%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes120.0ms (3%)

Memory

19.0MiB live, 109.1MiB allocated; 8ms collecting garbage

Counts

76 → 1

Calls

Call 1

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

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:

56.0ms	x
23.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
19.0ms	tau
19.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
97.4%	1	`(*.f32 x (PI.f32))`
97.4%	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))))`
97.4%	1	`x`
97.4%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes66.0ms (1.6%)

Memory

-25.3MiB live, 119.6MiB allocated; 11ms collecting garbage

Counts

55 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	x
17.0ms	tau
14.0ms	(*.f32 x (PI.f32))
14.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
96.8%	1	`(*.f32 x (PI.f32))`
96.8%	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))))`
96.8%	1	`x`
96.8%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes57.0ms (1.4%)

Memory

-3.4MiB live, 87.7MiB allocated; 3ms collecting garbage

Counts

53 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
83.6%	1	`(*.f32 x (PI.f32))`
83.6%	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))))`
83.6%	1	`x`
83.6%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes105.0ms (2.6%)

Memory

-2.7MiB live, 96.2MiB allocated; 88ms collecting garbage

Counts

52 → 1

Calls

Call 1

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

59.0ms	x
18.0ms	tau
13.0ms	(*.f32 x (PI.f32))
13.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
77.3%	1	`tau`
77.3%	1	`(*.f32 x (PI.f32))`
77.3%	1	`x`
77.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes50.0ms (1.2%)

Memory

40.7MiB live, 86.4MiB allocated; 3ms collecting garbage

Counts

45 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

13.0ms	x
12.0ms	tau
11.0ms	(*.f32 x (PI.f32))
11.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
77.3%	1	`(*.f32 x (PI.f32))`
77.3%	1	`x`
77.3%	1	`tau`
77.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes52.0ms (1.3%)

Memory

-25.6MiB live, 68.3MiB allocated; 18ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

21.0ms	(*.f32 x (PI.f32))
12.0ms	tau
9.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms	x

Results

Accuracy	Segments	Branch
76.6%	1	`(*.f32 x (PI.f32))`
76.6%	1	`x`
76.6%	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))))`
76.6%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes21.0ms (0.5%)

Memory

-8.1MiB live, 39.1MiB allocated; 1ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(*.f32 x (PI.f32))
5.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
5.0ms	x
5.0ms	tau

Results

Accuracy	Segments	Branch
66.9%	1	`(*.f32 x (PI.f32))`
66.9%	1	`x`
66.9%	1	`tau`
66.9%	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)

regimes18.0ms (0.5%)

Memory

-6.6MiB live, 40.6MiB allocated; 1ms 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (/ 0 tau) (* (PI) x)) #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) tau) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (fma.f32 (neg.f32 (.f32 (PI.f32) x)) tau #s(literal 0 binary32))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (fma.f32 (.f32 (neg.f32 (PI.f32)) x) tau #s(literal 0 binary32))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) x) (neg.f32 (.f32 (PI.f32) tau))) x #s(literal 0 binary32))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) x) (.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.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)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
61.9%	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))))`
61.9%	1	`(*.f32 x (PI.f32))`
61.9%	1	`x`
61.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes16.0ms (0.4%)

Memory

2.0MiB live, 49.3MiB allocated; 2ms collecting garbage

Accuracy

Total -17.6b remaining (-141.7%)

Threshold costs -17.6b (-141.7%)

Counts

12 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
61.1%	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))))`
61.1%	1	`(*.f32 x (PI.f32))`
61.1%	1	`x`
61.1%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify41.0ms (1%)

Memory

0.9MiB live, 50.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	307
1	86	307
2	147	307
3	370	307
4	909	307
5	3295	307

Stop Event

1×	node limit

Calls

Call 1

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

derivations301.0ms (7.4%)

Memory

49.6MiB live, 185.9MiB allocated; 12ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 307 to 70 computations (77.2% saved)

preprocess51.0ms (1.2%)

Memory

-38.5MiB live, 53.8MiB allocated; 17ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 740 to 204 computations (72.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze29.0ms (0.7%)

sample1.1s (27.3%)

explain229.0ms (5.7%)

preprocess141.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series42.0ms (1%)

rewrite227.0ms (5.6%)

eval12.0ms (0.3%)

prune20.0ms (0.5%)

series69.0ms (1.7%)

rewrite196.0ms (4.8%)

eval42.0ms (1%)

prune50.0ms (1.2%)

series53.0ms (1.3%)

rewrite206.0ms (5.1%)

eval42.0ms (1%)

prune61.0ms (1.5%)

series39.0ms (1%)

rewrite285.0ms (7%)

eval37.0ms (0.9%)

prune66.0ms (1.6%)

regimes113.0ms (2.8%)

regimes90.0ms (2.2%)

regimes120.0ms (3%)

regimes66.0ms (1.6%)

regimes57.0ms (1.4%)

regimes105.0ms (2.6%)

regimes50.0ms (1.2%)

regimes52.0ms (1.3%)

regimes21.0ms (0.5%)

regimes18.0ms (0.5%)

regimes16.0ms (0.4%)

simplify41.0ms (1%)

derivations301.0ms (7.4%)

preprocess51.0ms (1.2%)

end0.0ms (0%)

Profiling