Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze20.0ms (0.3%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample2.1s (33.8%)

Memory

-137.6MiB live, 1 611.0MiB allocated; 1.3s collecting garbage

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-pi: 504.0ms (36.4% of total)

ival-mult: 231.0ms (16.7% of total)

const: 137.0ms (9.9% of total)

ival-<=: 136.0ms (9.8% of total)

ival-sin: 126.0ms (9.1% of total)

ival-sinu: 124.0ms (8.9% of total)

ival-div: 93.0ms (6.7% of total)

ival-and: 22.0ms (1.6% of total)

exact: 8.0ms (0.6% of total)

ival-assert: 3.0ms (0.2% of total)

adjust: 2.0ms (0.1% of total)

Bogosity

explain119.0ms (1.9%)

Memory

-15.3MiB live, 131.4MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
1	-	1	(0.2954432964324951 3.362189769744873)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(.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 x (PI.f32)))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	1	1
-	0	254

Precision

1.0

Recall

0.5

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	1	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 9.0ms (29.1% of total)

ival-sinu: 7.0ms (22.6% of total)

ival-div: 6.0ms (19.4% of total)

ival-sin: 6.0ms (19.4% of total)

ival-pi: 2.0ms (6.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess131.0ms (2.1%)

Memory

41.6MiB live, 88.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	123
1	78	123
2	362	107
3	1859	107
4	4136	107
5	6122	107
6	7086	107
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 tau)

(abs x)

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

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(.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)

simplify89.0ms (1.4%)

Memory

-0.9MiB live, 46.3MiB allocated; 1ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f32 (.f32 x (PI.f32)) tau)
cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
cost-diff	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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	62
0	18	62
1	31	62
2	88	62
3	295	62
4	692	62
5	1137	62
6	1748	62
7	3844	62
8	7458	62
9	7574	62
10	7772	62
0	8015	62

Stop Event

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

Calls

Call 1

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

localize34.0ms (0.6%)

Memory

-14.6MiB live, 32.6MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.26791000976844204	(.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))))
accuracy	0.27702799195494	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.3600387695368841	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.38251879884221013	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

27.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 8.0ms (39.9% of total)

ival-sin: 4.0ms (19.9% of total)

ival-div: 3.0ms (15% of total)

ival-sinu: 3.0ms (15% of total)

ival-pi: 1.0ms (5% of total)

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

adjust: 0.0ms (0% of total)

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

series34.0ms (0.5%)

Memory

-19.2MiB live, 28.5MiB allocated; 4ms collecting garbage

Counts

5 → 30

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	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) (/ (sin (* x (PI))) (* x (PI))))
5.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* 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) (/ (sin (* x (PI))) (* 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) (/ (sin (* x (PI))) (* x (PI))))
3.0ms	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) (/ (sin (* x (PI))) (* x (PI))))

simplify148.0ms (2.4%)

Memory

35.6MiB live, 126.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	1151
1	770	1129
2	3612	1105
0	8237	1054

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 30

Calls

Call 1

Inputs
#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 (/ (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)) 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)) 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)))))))))))

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

rewrite110.0ms (1.8%)

Memory

-6.3MiB live, 91.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	52
0	18	52
1	54	52
2	349	50
0	3634	50

Stop Event

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

Counts

5 → 297

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 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))) tau) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 tau)) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (neg.f32 x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)))
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(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (cbrt.f32 (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (neg.f32 (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))) x)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))) tau)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (PI.f32))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (neg.f32 x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (neg.f32 tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 tau (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) (neg.f32 tau)))
(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))))
(neg.f32 (/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (neg.f32 tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(neg.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (neg.f32 x) (PI.f32))))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (neg.f32 tau))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (neg.f32 tau))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x))))
(neg.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))))
(neg.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (neg.f32 tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (PI.f32)) x)
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) x) (PI.f32))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) tau) (PI.f32))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) tau))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) tau))
(/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) tau) (.f32 (neg.f32 x) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) x) (.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 tau (PI.f32))) x)
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (*.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (*.f32 tau x))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (neg.f32 tau))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (neg.f32 (neg.f32 tau)))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau)
(/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))))
(sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))
(sin.f32 (fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(cos.f32 (+.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32)))
(cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (fma.f32 (*.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) tau))
(.f32 (.f32 (*.f32 tau x) (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 tau x) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 tau (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 tau (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (neg.f32 (neg.f32 tau)) (.f32 (PI.f32) x))
(.f32 (neg.f32 (neg.f32 x)) (.f32 tau (PI.f32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (*.f32 (sqrt.f32 (PI.f32)) tau))
(.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (*.f32 (cbrt.f32 (PI.f32)) tau))
(.f32 (.f32 tau x) (PI.f32))
(.f32 (neg.f32 tau) (.f32 (neg.f32 x) (PI.f32)))
(.f32 (neg.f32 x) (.f32 (neg.f32 tau) (PI.f32)))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 tau x)))
(.f32 (.f32 tau (PI.f32)) x)
(.f32 (.f32 (neg.f32 x) (PI.f32)) (neg.f32 tau))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) tau))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) tau) x))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) x) tau))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 tau x)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) x) (neg.f32 (neg.f32 tau)))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 (PI.f32) (.f32 tau x))
(.f32 x (neg.f32 (.f32 (neg.f32 tau) (PI.f32))))
(.f32 x (.f32 tau (PI.f32)))
(fma.f32 (.f32 tau x) (cosh.f32 (log.f32 (PI.f32))) (.f32 (*.f32 tau x) (sinh.f32 (log.f32 (PI.f32)))))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 tau x) (.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 tau x)))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 tau x)) (.f32 (sinh.f32 (log.f32 (PI.f32))) (.f32 tau x)))
(+.f32 (.f32 (.f32 tau x) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 tau x) (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (.f32 (.f32 tau (neg.f32 x)) (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))

eval30.0ms (0.5%)

Memory: -2.6MiB live, 43.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 9 291 to 1 120 computations (87.9% saved)

prune27.0ms (0.4%)

Memory

-4.0MiB live, 43.4MiB allocated; 1ms collecting garbage

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	337	29	366
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	338	29	367

Accuracy

99.9%

Counts

367 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.2%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) x) (*.f32 (neg.f32 tau) (PI.f32)))
▶	97.5%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
▶	77.5%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	79.1%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (neg.f32 x)) (PI.f32)))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) x)
	81.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)))) (.f32 x (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.1%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	78.3%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) x) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (.f32 (cbrt.f32 (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	79.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 x) (PI.f32))))
	95.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (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 x x) #s(literal 1 binary32))))
	86.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	71.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	81.6%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	82.7%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
▶	98.2%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	78.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	64.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
▶	64.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 472 to 826 computations (43.9% saved)

simplify123.0ms (2%)

Memory

-5.5MiB live, 89.6MiB allocated; 29ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))
cost-diff	0	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
cost-diff	0	(sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)))
cost-diff	0	(/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x))
cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
cost-diff	2	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
cost-diff	0	(PI.f32)
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	338
0	61	336
1	137	336
2	393	336
3	1366	334
4	3210	334
5	5833	334
0	8574	334

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (1.6%)

Memory

2.5MiB live, 97.8MiB allocated; 3ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.30859375	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.34765625	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))
accuracy	0.3515625	(*.f32 tau (PI.f32))
accuracy	0.40462875976844204	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))
accuracy	0.3395500488422101	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.3515625	(*.f32 tau (PI.f32))
accuracy	5.365216045335312	(sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)))
accuracy	6.251123110066805	(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
accuracy	0.27702799195494	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.3203125	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
accuracy	0.375	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
accuracy	0.465507519536884	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
accuracy	11.520015105676727	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.26171875	(*.f32 (PI.f32) x)
accuracy	0.27702799195494	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.38251879884221013	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.3991012695368841	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))

Samples

76.0ms

256×

valid

Compiler

Compiled 347 to 36 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-sin: 22.0ms (35.9% of total)

ival-mult: 17.0ms (27.7% of total)

ival-div: 15.0ms (24.4% of total)

ival-sinu: 4.0ms (6.5% of total)

ival-add: 2.0ms (3.3% of total)

ival-pi: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.9%)

Memory

14.3MiB live, 60.0MiB allocated; 4ms collecting garbage

Counts

20 → 133

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	tau	@	0	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (* tau (PI)) x) (PI))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (sin (+ (* (PI) x) (PI))) (* tau (PI)))
9.0ms	x	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (* tau (PI)) x) (PI))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (sin (+ (* (PI) x) (PI))) (* tau (PI)))
9.0ms	tau	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (* tau (PI)) x) (PI))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (sin (+ (* (PI) x) (PI))) (* tau (PI)))
7.0ms	tau	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (* tau (PI)) x) (PI))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (sin (+ (* (PI) x) (PI))) (* tau (PI)))
7.0ms	x	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (* tau (PI)) x) (PI))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (sin (+ (* (PI) x) (PI))) (* tau (PI)))

simplify115.0ms (1.9%)

Memory

-23.9MiB live, 116.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	737	5452
1	2548	4963
0	8225	4771

Stop Event

1×	iter limit
1×	node limit

Counts

133 → 133

Calls

Call 1

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

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

rewrite316.0ms (5.1%)

Memory

39.3MiB live, 406.5MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	241
0	61	239
1	230	227
2	1279	227
0	9744	227

Stop Event

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

Counts

20 → 3 668

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)))
(.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (.f32 (.f32 x (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (neg.f32 tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (*.f32 x (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (.f32 (.f32 tau (*.f32 x (PI.f32))) x)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)))
(/.f32 (neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) x)) (.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) tau)) (.f32 (neg.f32 x) (.f32 x (PI.f32))))
(/.f32 (neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))) (.f32 (neg.f32 x) (PI.f32)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)))) (neg.f32 x))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))) (neg.f32 tau))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))))) (neg.f32 x))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau))) (.f32 (neg.f32 x) (PI.f32)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))))) (neg.f32 tau))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau))) (neg.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))))) (.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (neg.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau))) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))) (neg.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (sin.f32 (fma.f32 x (PI.f32) (PI.f32))))) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (PI.f32))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) tau)
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 tau (PI.f32)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) x)
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) tau) (.f32 (.f32 x (PI.f32)) x))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))) (PI.f32))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 x (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (*.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32))))) x)
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32))))) (.f32 (neg.f32 x) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau)) (.f32 x (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) tau)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (PI.f32))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (neg.f32 tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (neg.f32 x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) x) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (neg.f32 (PI.f32)))
(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (neg.f32 tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) (.f32 tau (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (neg.f32 x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (neg.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) (neg.f32 x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau)) (neg.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (neg.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (sin.f32 (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 tau (PI.f32)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (neg.f32 x)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (neg.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) (neg.f32 x))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)))) (.f32 (neg.f32 x) (PI.f32)))
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(/.f32 (neg.f32 (pow.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32))))
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(/.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32))))) #s(literal -2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (+.f32 (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (.f32 x (PI.f32)))) (cos.f32 (+.f32 (+.f32 (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (.f32 x (PI.f32))))) #s(literal 2 binary32))
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(sin.f32 (*.f32 (neg.f32 x) (PI.f32)))
(sin.f32 (fma.f32 x (PI.f32) (PI.f32)))
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(+.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) #s(literal 2 binary32)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) #s(literal 2 binary32)))
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(neg.f32 (sin.f32 (*.f32 x (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) tau))
(.f32 (.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
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(.f32 (.f32 (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 tau (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 tau (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (neg.f32 (neg.f32 tau)) (PI.f32))
(.f32 (.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 tau) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 tau))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) tau))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) tau))
(*.f32 tau (PI.f32))
(*.f32 (PI.f32) (neg.f32 (neg.f32 tau)))
(*.f32 (PI.f32) tau)
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) tau (*.f32 (sinh.f32 (log.f32 (PI.f32))) tau))
(fma.f32 tau (cosh.f32 (log.f32 (PI.f32))) (*.f32 tau (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) tau) (.f32 (sinh.f32 (log.f32 (PI.f32))) tau))
(+.f32 (.f32 tau (cosh.f32 (log.f32 (PI.f32)))) (.f32 tau (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (*.f32 (neg.f32 tau) (PI.f32)))

eval203.0ms (3.3%)

Memory: -1.2MiB live, 232.2MiB allocated; 41ms collecting garbage
Compiler: Compiled 60 154 to 4 345 computations (92.8% saved)

prune70.0ms (1.1%)

Memory

20.1MiB live, 163.4MiB allocated; 17ms collecting garbage

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	1 754	27	1 781
Fresh	12	12	24
Picked	2	3	5
Done	0	0	0
Total	1 768	42	1 810

Accuracy

100.0%

Counts

1 810 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (*.f32 (PI.f32) x)))
	77.5%	(/.f32 (.f32 (/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	81.8%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (neg.f32 x))) (sin.f32 (.f32 (PI.f32) x))) x)
✓	77.5%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	59.9%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 tau (*.f32 (PI.f32) x)))
	79.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (neg.f32 x)) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	81.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)))) (.f32 x (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) (PI.f32))
	76.4%	(/.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	78.2%	(/.f32 (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	79.1%	(/.f32 (.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
	62.9%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal -1 binary32)) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	53.3%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	64.7%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
	78.7%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) x)) x)
▶	64.8%	(/.f32 #s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (fma.f32 (neg.f32 tau) (sin.f32 (.f32 (neg.f32 x) (PI.f32))) #s(literal 0 binary32))) (.f32 tau (*.f32 (PI.f32) x)))
	63.9%	(/.f32 #s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/.f32 (.f32 (.f32 (fma.f32 (PI.f32) tau #s(literal 0 binary32)) x) x) x)) (.f32 tau (.f32 (PI.f32) x)))
	78.3%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.8%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) x) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	86.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	71.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (PI.f32)))
▶	77.8%	(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.5%	(.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	81.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
✓	98.2%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	79.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	64.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) #s(literal 1 binary32)) (*.f32 (PI.f32) x)))
	85.5%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	71.0%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	64.8%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
▶	97.3%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
▶	6.3%	#s(approx (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) #s(literal 0 binary32))
	78.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
✓	64.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 281 to 1 345 computations (41% saved)

simplify98.0ms (1.6%)

Memory

-15.1MiB live, 78.1MiB allocated; 9ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 x)
cost-diff	0	(fma.f32 (neg.f32 x) (PI.f32) (PI.f32))
cost-diff	0	(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
cost-diff	2	(sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))
cost-diff	0	(sin.f32 (.f32 (.f32 (PI.f32) tau) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau (.f32 x x)))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
cost-diff	0	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
cost-diff	0	(neg.f32 tau)
cost-diff	0	#s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (fma.f32 (neg.f32 tau) (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) #s(literal 0 binary32)))
cost-diff	0	(/.f32 #s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (fma.f32 (neg.f32 tau) (sin.f32 (.f32 (neg.f32 x) (PI.f32))) #s(literal 0 binary32))) (.f32 tau (*.f32 (PI.f32) x)))
cost-diff	3	(fma.f32 (neg.f32 tau) (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) #s(literal 0 binary32))
cost-diff	0	#s(approx (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) #s(literal 0 binary32))
cost-diff	0	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
cost-diff	0	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
cost-diff	0	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
cost-diff	0	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (*.f32 (PI.f32) x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	402
0	97	389
1	207	389
2	647	377
3	2258	377
4	5036	377
5	7021	377
0	8037	377

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (2.5%)

Memory

-9.0MiB live, 220.5MiB allocated; 24ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.3359375	(fma.f32 (neg.f32 x) (PI.f32) (PI.f32))
accuracy	0.38251879884221013	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.3991012695368841	(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
accuracy	6.2397126564664696	(sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))
accuracy	0.3515625	(*.f32 (PI.f32) tau)
accuracy	0.3828125	(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau (.f32 x x)))
accuracy	0.46322250976844204	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	0.26171875	(*.f32 (neg.f32 x) (PI.f32))
accuracy	0.26171875	(*.f32 (PI.f32) x)
accuracy	0.3395500488422101	(/.f32 #s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (fma.f32 (neg.f32 tau) (sin.f32 (.f32 (neg.f32 x) (PI.f32))) #s(literal 0 binary32))) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	10.96439432057105	#s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (fma.f32 (neg.f32 tau) (sin.f32 (*.f32 (neg.f32 x) (PI.f32))) #s(literal 0 binary32)))
accuracy	29.983169901575632	#s(approx (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) #s(literal 0 binary32))
accuracy	0.27702799195494	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.30697250976844204	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
accuracy	0.3359375	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
accuracy	0.3395500488422101	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (*.f32 (PI.f32) x)))

Samples

116.0ms

256×

valid

Compiler

Compiled 364 to 49 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-sin: 33.0ms (35.9% of total)

ival-mult: 25.0ms (27.2% of total)

ival-div: 20.0ms (21.8% of total)

ival-sinu: 7.0ms (7.6% of total)

ival-add: 4.0ms (4.4% of total)

ival-neg: 2.0ms (2.2% of total)

ival-pi: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory

27.0MiB live, 73.0MiB allocated; 3ms collecting garbage

Counts

22 → 123

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
9.0ms	tau	@	inf	((/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (+ (* (neg tau) (sin (* (neg x) (PI)))) 0) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (neg tau) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (sin (* (* (PI) tau) x)) (* tau (* x x))) (/ (sin (* (PI) x)) (* (PI) (PI)))) (/ (sin (* (* (PI) tau) x)) (* tau (* x x))) (sin (* (* (PI) tau) x)) (sin (+ (* (neg x) (PI)) (PI))) (* (sin (+ (* (neg x) (PI)) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (+ (* (neg x) (PI)) (PI)) (neg x) (* (PI) x) (* (neg x) (PI)) (* (PI) (PI)) (* (PI) tau) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))))
8.0ms	tau	@	-inf	((/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (+ (* (neg tau) (sin (* (neg x) (PI)))) 0) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (neg tau) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (sin (* (* (PI) tau) x)) (* tau (* x x))) (/ (sin (* (PI) x)) (* (PI) (PI)))) (/ (sin (* (* (PI) tau) x)) (* tau (* x x))) (sin (* (* (PI) tau) x)) (sin (+ (* (neg x) (PI)) (PI))) (* (sin (+ (* (neg x) (PI)) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (+ (* (neg x) (PI)) (PI)) (neg x) (* (PI) x) (* (neg x) (PI)) (* (PI) (PI)) (* (PI) tau) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))))
6.0ms	x	@	-inf	((/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (+ (* (neg tau) (sin (* (neg x) (PI)))) 0) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (neg tau) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (sin (* (* (PI) tau) x)) (* tau (* x x))) (/ (sin (* (PI) x)) (* (PI) (PI)))) (/ (sin (* (* (PI) tau) x)) (* tau (* x x))) (sin (* (* (PI) tau) x)) (sin (+ (* (neg x) (PI)) (PI))) (* (sin (+ (* (neg x) (PI)) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (+ (* (neg x) (PI)) (PI)) (neg x) (* (PI) x) (* (neg x) (PI)) (* (PI) (PI)) (* (PI) tau) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))))
6.0ms	x	@	inf	((/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (+ (* (neg tau) (sin (* (neg x) (PI)))) 0) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (neg tau) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (sin (* (* (PI) tau) x)) (* tau (* x x))) (/ (sin (* (PI) x)) (* (PI) (PI)))) (/ (sin (* (* (PI) tau) x)) (* tau (* x x))) (sin (* (* (PI) tau) x)) (sin (+ (* (neg x) (PI)) (PI))) (* (sin (+ (* (neg x) (PI)) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (+ (* (neg x) (PI)) (PI)) (neg x) (* (PI) x) (* (neg x) (PI)) (* (PI) (PI)) (* (PI) tau) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))))
5.0ms	x	@	0	((/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (+ (* (neg tau) (sin (* (neg x) (PI)))) 0) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (neg tau) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (sin (* (* (PI) tau) x)) (* tau (* x x))) (/ (sin (* (PI) x)) (* (PI) (PI)))) (/ (sin (* (* (PI) tau) x)) (* tau (* x x))) (sin (* (* (PI) tau) x)) (sin (+ (* (neg x) (PI)) (PI))) (* (sin (+ (* (neg x) (PI)) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (+ (* (neg x) (PI)) (PI)) (neg x) (* (PI) x) (* (neg x) (PI)) (* (PI) (PI)) (* (PI) tau) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))))

simplify161.0ms (2.6%)

Memory

-27.2MiB live, 132.2MiB allocated; 87ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	775	5073
1	2740	4591
2	7666	4591
0	8038	4416

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 123

Calls

Call 1

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

rewrite135.0ms (2.2%)

Memory

30.8MiB live, 173.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	298
0	97	289
1	332	271
2	2087	250
0	8472	250

Stop Event

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

Counts

22 → 700

Calls

Call 1

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

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

eval67.0ms (1.1%)

Memory: -19.9MiB live, 116.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 23 764 to 2 534 computations (89.3% saved)

prune39.0ms (0.6%)

Memory

26.4MiB live, 79.9MiB allocated; 7ms collecting garbage

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	698	13	711
Fresh	8	26	34
Picked	2	3	5
Done	1	2	3
Total	709	44	753

Accuracy

100.0%

Counts

753 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.3%	(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (*.f32 (PI.f32) x)))
	63.6%	(/.f32 (/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (*.f32 (PI.f32) x)))
	64.5%	(/.f32 (/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 tau x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (*.f32 (PI.f32) x)))
✓	77.5%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	59.9%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 tau (*.f32 (PI.f32) x)))
	77.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32))) (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x)))) x)
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) tau)) (*.f32 (PI.f32) x))
	79.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (neg.f32 x)) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	81.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)))) (.f32 x (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) (PI.f32))
	79.1%	(/.f32 (.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
▶	98.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (PI.f32) x) tau)))
▶	62.9%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal -1 binary32)) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
▶	53.3%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
▶	63.9%	(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau (.f32 (PI.f32) x)))
	64.8%	(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 (PI.f32) x)))
	64.7%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
	78.7%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) x)) x)
	64.7%	(/.f32 #s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) #s(approx (+ (* (neg tau) (sin (* (neg x) (PI)))) 0) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 x x)) (.f32 (PI.f32) tau)) x))) (.f32 tau (*.f32 (PI.f32) x)))
	81.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.8%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	86.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	71.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (PI.f32)))
	77.7%	(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
✓	77.8%	(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.5%	(.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	81.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	79.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	64.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) #s(literal 1 binary32)) (*.f32 (PI.f32) x)))
	80.9%	(.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	85.5%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	71.0%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	64.8%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	78.9%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (.f32 (fma.f32 (fma.f32 (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (.f32 tau tau) #s(literal 1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x)))
✓	97.3%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
✓	6.3%	#s(approx (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) #s(literal 0 binary32))
	78.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
✓	64.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 383 to 1 402 computations (41.2% saved)

simplify152.0ms (2.5%)

Memory

-29.5MiB live, 105.1MiB allocated; 9ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	518
0	105	504
1	225	504
2	813	490
3	4150	490
0	8062	489

Stop Event

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

Calls

Call 1

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

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

localize202.0ms (3.3%)

Memory

-3.2MiB live, 136.6MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3359375	(.f32 (sin.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (.f32 x (PI.f32))))
accuracy	0.3395500488422101	(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.3828125	(fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (PI.f32))
accuracy	6.2870393452123725	(sin.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (PI.f32)))
accuracy	0.38671875	(.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 x x))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	6.246356799501174	#s(approx (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 0 binary32)) tau #s(literal -1 binary32)) tau))
accuracy	6.251123110066805	(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
accuracy	0.33203125	(fma.f32 (PI.f32) x (PI.f32))
accuracy	0.3395500488422101	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	6.251123110066805	(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
accuracy	10.96140073078689	#s(approx (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau))
accuracy	0.26171875	(*.f32 (PI.f32) x)
accuracy	0.3395500488422101	(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.3515625	(*.f32 (PI.f32) tau)
accuracy	11.209988114800733	#s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (.f32 (.f32 (PI.f32) tau) x))
accuracy	0.27702799195494	(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
accuracy	0.30859375	(.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (PI.f32) x) tau))
accuracy	0.3262100586106521	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (PI.f32) x) tau)))
accuracy	0.3359375	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (neg.f32 x) (PI.f32))))

Samples

155.0ms

256×

valid

Compiler

Compiled 466 to 56 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-sin: 48.0ms (35.4% of total)

ival-mult: 32.0ms (23.6% of total)

ival-div: 20.0ms (14.8% of total)

ival-add: 20.0ms (14.8% of total)

ival-sinu: 7.0ms (5.2% of total)

const: 4.0ms (3% of total)

ival-neg: 3.0ms (2.2% of total)

ival-pi: 1.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series74.0ms (1.2%)

Memory

28.6MiB live, 73.0MiB allocated; 5ms collecting garbage

Counts

27 → 129

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	((/ (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* (* (PI) tau) x) (* (PI) tau) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (neg tau) (+ (* (* -1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (+ (* (+ (* x tau) 1) (PI)) (PI)) (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* (* (neg x) (PI)) (* (* (PI) x) tau)) (* (PI) x) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (PI) (PI)) (* (neg (* (PI) (PI))) (* x x)) (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))))
12.0ms	tau	@	inf	((/ (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* (* (PI) tau) x) (* (PI) tau) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (neg tau) (+ (* (* -1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (+ (* (+ (* x tau) 1) (PI)) (PI)) (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* (* (neg x) (PI)) (* (* (PI) x) tau)) (* (PI) x) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (PI) (PI)) (* (neg (* (PI) (PI))) (* x x)) (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))))
9.0ms	tau	@	-inf	((/ (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* (* (PI) tau) x) (* (PI) tau) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (neg tau) (+ (* (* -1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (+ (* (+ (* x tau) 1) (PI)) (PI)) (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* (* (neg x) (PI)) (* (* (PI) x) tau)) (* (PI) x) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (PI) (PI)) (* (neg (* (PI) (PI))) (* x x)) (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))))
9.0ms	x	@	0	((/ (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* (* (PI) tau) x) (* (PI) tau) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (neg tau) (+ (* (* -1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (+ (* (+ (* x tau) 1) (PI)) (PI)) (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* (* (neg x) (PI)) (* (* (PI) x) tau)) (* (PI) x) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (PI) (PI)) (* (neg (* (PI) (PI))) (* x x)) (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))))
9.0ms	x	@	-inf	((/ (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (* (* (neg x) (PI)) (* (* (PI) x) tau))) (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* (* (PI) tau) x) (* (PI) tau) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (neg tau) (+ (* (* -1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (+ (* (+ (* x tau) 1) (PI)) (PI)) (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* (* (neg x) (PI)) (* (* (PI) x) tau)) (* (PI) x) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (PI) (PI)) (* (neg (* (PI) (PI))) (* x x)) (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))))

simplify153.0ms (2.5%)

Memory

15.1MiB live, 199.2MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	940	5281
1	3473	4308
0	9593	4086

Stop Event

1×	iter limit
1×	node limit

Counts

129 → 129

Calls

Call 1

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

Outputs
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (* (* (neg x) (PI)) (* (* (PI) x) tau))) #s(hole binary32 1))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (* (* (neg x) (PI)) (* (* (PI) x) tau))) #s(hole binary32 (+ 1 (* -1 (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2))))))))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (* (* (neg x) (PI)) (* (* (PI) x) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/120 (* (pow tau 4) (pow (PI) 4))) (* -1/120 (pow (PI) 4)))))) (* -1 (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))))))))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (fma.f32 (fma.f32 (.f32 (neg.f32 x) x) (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)) (fma.f32 #s(literal -1/120 binary32) (pow.f32 tau #s(literal 4 binary32)) #s(literal -1/120 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (* (* (neg x) (PI)) (* (* (PI) x) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1 (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/5040 (* (pow tau 6) (pow (PI) 6))) (+ (* 1/5040 (pow (PI) 6)) (+ (* 1/720 (* (pow tau 2) (pow (PI) 6))) (* 1/720 (* (pow tau 4) (pow (PI) 6)))))))) (* -1 (+ (* -1/36 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/120 (* (pow tau 4) (pow (PI) 4))) (* -1/120 (pow (PI) 4))))))))))))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 (neg.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal 1/5040 binary32)) (.f32 #s(literal 1/720 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32)))))) (.f32 x x) (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)) (fma.f32 #s(literal -1/120 binary32) (pow.f32 tau #s(literal 4 binary32)) #s(literal -1/120 binary32)))))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) #s(hole binary32 (* -1 (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 4))) (* 1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x)))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 4))) (+ (* 1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 6))) (+ (* -1/120 (* tau (pow (PI) 6))) (* -1/120 (* (pow tau 5) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (.f32 (-.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/36 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 #s(literal -1/120 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 tau (pow.f32 tau #s(literal 5 binary32)))))) (.f32 x x) (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x)))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 4))) (+ (* 1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 6))) (+ (* -1/120 (* tau (pow (PI) 6))) (+ (* -1/120 (* (pow tau 5) (pow (PI) 6))) (* (pow x 2) (+ (* 1/5040 (* tau (pow (PI) 8))) (+ (* 1/5040 (* (pow tau 7) (pow (PI) 8))) (+ (* 1/720 (* (pow tau 3) (pow (PI) 8))) (* 1/720 (* (pow tau 5) (pow (PI) 8))))))))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/36 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal 1/5040 binary32) tau (.f32 #s(literal 1/5040 binary32) (pow.f32 tau #s(literal 7 binary32)))) (.f32 #s(literal 1/720 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 tau #s(literal 5 binary32)))))) (.f32 x x) (.f32 #s(literal -1/120 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))))))) (.f32 x x) (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (neg.f32 tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) tau) x))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) tau)) (.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 (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) (.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 (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (sin (* (* (PI) x) 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 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (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 (* (* (PI) x) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (* (PI) x) tau) (.f32 (.f32 (PI.f32) tau) x))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) #s(literal 1 binary32))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
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#s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 6 binary32))))) (.f32 tau tau))) (.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) #s(hole binary32 (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) #s(literal 0 binary32))
#s(approx (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) #s(hole binary32 (/ (+ (/ (* tau (* (cos (PI)) (sin (+ (PI) (* x (PI)))))) (* x (PI))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/.f32 (fma.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))) tau #s(literal 0 binary32)) tau))
#s(approx (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) #s(hole binary32 (/ (+ (* tau (+ (* -1/2 (* tau (* (sin (PI)) (sin (+ (PI) (* x (PI))))))) (/ (* (cos (PI)) (sin (+ (PI) (* x (PI))))) (* x (PI))))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/.f32 (fma.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))) tau #s(literal 0 binary32)) tau))
#s(approx (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) #s(hole binary32 (/ (+ (* tau (+ (* tau (+ (* -1/2 (* (sin (PI)) (sin (+ (PI) (* x (PI)))))) (* -1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (+ (PI) (* x (PI))))))))))) (/ (* (cos (PI)) (sin (+ (PI) (* x (PI))))) (* x (PI))))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 tau x) (.f32 (neg.f32 (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) #s(literal -1/6 binary32) #s(literal 0 binary32)) tau (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 x) (PI.f32)))) tau #s(literal 0 binary32)) tau))
#s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* x (PI)))))
#s(approx (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) #s(literal 0 binary32))
#s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* tau (* (cos (PI)) (sin (+ (PI) (* x (PI)))))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (fma.f32 (.f32 tau #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)))
#s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* x (* (PI) (* (sin (PI)) (sin (+ (PI) (* x (PI))))))))) (* (cos (PI)) (sin (+ (PI) (* x (PI))))))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (fma.f32 (.f32 tau #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)))
#s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* x (* (PI) (* (sin (PI)) (sin (+ (PI) (* x (PI)))))))) (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (* (cos (PI)) (sin (+ (PI) (* x (PI))))))))))) (* (cos (PI)) (sin (+ (PI) (* x (PI))))))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (fma.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 x x)) #s(literal 0 binary32)) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) tau #s(literal 0 binary32)))
#s(approx (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) #s(hole binary32 (+ (* tau (cos (PI))) (/ (sin (PI)) (* x (PI))))))
#s(approx (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau))
#s(approx (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) #s(hole binary32 (+ (* tau (+ (cos (PI)) (* -1/2 (* tau (* x (* (PI) (sin (PI)))))))) (/ (sin (PI)) (* x (PI))))))
#s(approx (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau))
#s(approx (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) #s(hole binary32 (+ (* tau (+ (cos (PI)) (* tau (+ (* -1/2 (* x (* (PI) (sin (PI))))) (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))))))) (/ (sin (PI)) (* x (PI))))))
#s(approx (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (neg.f32 x) x) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) tau)) tau #s(literal -1 binary32)) tau))
#s(approx (neg tau) #s(hole binary32 (* -1 tau)))
#s(approx (neg tau) (neg.f32 tau))
#s(approx (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) #s(hole binary32 (+ (sin (* 2 (PI))) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (* 2 (PI))))))) (* x (* (PI) (cos (* 2 (PI))))))))))
#s(approx (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) tau) #s(literal -1/2 binary32) (.f32 (PI.f32) x)) tau #s(literal 0 binary32)))
#s(approx (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) #s(hole binary32 (+ (sin (* 2 (PI))) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (* 2 (PI)))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (* 2 (PI))))))))) (* x (* (PI) (cos (* 2 (PI))))))))))
#s(approx (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal 1 binary32)) tau) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal -1/2 binary32))) tau (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) #s(hole binary32 (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) #s(literal 0 binary32))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) #s(hole binary32 (/ (+ (/ (* tau (* (cos (* 2 (PI))) (sin (* x (PI))))) (* x (PI))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/.f32 (.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau) tau))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) #s(hole binary32 (/ (+ (* tau (+ (* -1/2 (* tau (* (sin (* 2 (PI))) (sin (* x (PI)))))) (/ (* (cos (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/.f32 (.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau) tau))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) #s(hole binary32 (/ (+ (* tau (+ (* tau (+ (* -1/2 (* (sin (* 2 (PI))) (sin (* x (PI))))) (* -1/6 (* tau (* x (* (PI) (* (cos (* 2 (PI))) (sin (* x (PI)))))))))) (/ (* (cos (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) #s(literal 0 binary32)) tau (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) tau #s(literal 0 binary32)) tau))
#s(approx (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) #s(hole binary32 (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) #s(hole binary32 (+ (* tau (* (cos (* 2 (PI))) (sin (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (fma.f32 (.f32 tau #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* x (* (PI) (* (sin (* 2 (PI))) (sin (* x (PI)))))))) (* (cos (* 2 (PI))) (sin (* x (PI)))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (fma.f32 (.f32 tau #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)))
#s(approx (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* x (* (PI) (* (sin (* 2 (PI))) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (* (cos (* 2 (PI))) (sin (* x (PI)))))))))) (* (cos (* 2 (PI))) (sin (* x (PI)))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))))
#s(approx (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (fma.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 x x)) #s(literal 0 binary32)) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) tau #s(literal 0 binary32)))
#s(approx (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) #s(hole binary32 (* (sin (* 2 (PI))) (sin (* x (PI))))))
#s(approx (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) #s(literal 0 binary32))
#s(approx (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) #s(hole binary32 (+ (* tau (* x (* (PI) (* (cos (* 2 (PI))) (sin (* x (PI))))))) (* (sin (* 2 (PI))) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau #s(literal 0 binary32)))
#s(approx (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (* (sin (* 2 (PI))) (sin (* x (PI)))))))) (* x (* (PI) (* (cos (* 2 (PI))) (sin (* x (PI)))))))) (* (sin (* 2 (PI))) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 #s(literal 0 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) tau #s(literal 0 binary32)))
#s(approx (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (* (sin (* 2 (PI))) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (* (cos (* 2 (PI))) (sin (* x (PI)))))))))) (* x (* (PI) (* (cos (* 2 (PI))) (sin (* x (PI)))))))) (* (sin (* 2 (PI))) (sin (* x (PI)))))))
#s(approx (* (sin (+ (* (+ (* x tau) 1) (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 #s(literal 0 binary32) (.f32 x x)) #s(literal -1/2 binary32))) tau (.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau #s(literal 0 binary32)))
#s(approx (+ (* (+ (* x tau) 1) (PI)) (PI)) #s(hole binary32 (* tau (+ (* 2 (/ (PI) tau)) (* x (PI))))))
#s(approx (+ (* (+ (* x tau) 1) (PI)) (PI)) (.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal 2 binary32) (.f32 (PI.f32) x)) tau))
#s(approx (+ (* (+ (* x tau) 1) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -2 (/ (PI) tau)) (* -1 (* x (PI))))))))
#s(approx (+ (* (+ (* x tau) 1) (PI)) (PI)) (.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -2 binary32) (.f32 (neg.f32 x) (PI.f32))) (neg.f32 tau)))

rewrite106.0ms (1.7%)

Memory

-26.8MiB live, 118.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	392
0	105	380
1	377	356
0	2592	355

Stop Event

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

Counts

27 → 510

Calls

Call 1

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

Outputs
(.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (neg.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) tau))
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(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (neg.f32 (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (*.f32 x (PI.f32)))
(neg.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(.f32 (.f32 tau (.f32 (PI.f32) (.f32 (neg.f32 x) (PI.f32)))) x)
(.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32)))
(.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) (PI.f32))) (.f32 x x))
(.f32 (.f32 (.f32 (.f32 tau (PI.f32)) x) (neg.f32 x)) (PI.f32))
(.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 tau x)) (PI.f32))
(.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 tau (PI.f32))) x)
(.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) x) (.f32 tau (PI.f32)))
(.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) (PI.f32)) (.f32 tau x))
(.f32 (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau) (neg.f32 x))
(.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau) (.f32 x (PI.f32)))
(.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (neg.f32 x) (PI.f32))))
(.f32 (neg.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) tau)
(.f32 (.f32 (.f32 tau (PI.f32)) x) (.f32 (neg.f32 x) (PI.f32)))
(.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 (neg.f32 x) (PI.f32))))
(.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 tau (PI.f32)) x))
(.f32 (neg.f32 x) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau))
(.f32 tau (neg.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (.f32 x (PI.f32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))
(.f32 x (.f32 (.f32 tau (PI.f32)) (.f32 (neg.f32 x) (PI.f32))))
(.f32 (PI.f32) (.f32 (.f32 tau x) (.f32 (neg.f32 x) (PI.f32))))
(.f32 (PI.f32) (.f32 (neg.f32 x) (.f32 (.f32 tau (PI.f32)) x)))
(neg.f32 (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(neg.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(/.f32 (-.f32 (.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal -1 binary32)) (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal -1 binary32))) (.f32 (.f32 (cos.f32 (.f32 x (PI.f32))) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 x (PI.f32))) #s(literal 0 binary32)))) (-.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal -1 binary32)) (.f32 (cos.f32 (.f32 x (PI.f32))) #s(literal 0 binary32))))
(/.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (cos.f32 (.f32 x (PI.f32))) #s(literal 0 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal -1 binary32)) (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal -1 binary32)) (-.f32 (.f32 (.f32 (cos.f32 (.f32 x (PI.f32))) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 x (PI.f32))) #s(literal 0 binary32))) (.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal -1 binary32)) (.f32 (cos.f32 (.f32 x (PI.f32))) #s(literal 0 binary32))))))
(-.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal -1 binary32)) (.f32 (neg.f32 (cos.f32 (.f32 x (PI.f32)))) #s(literal 0 binary32)))
(fma.f32 (cos.f32 (.f32 x (PI.f32))) #s(literal 0 binary32) (.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal -1 binary32)))
(fma.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal -1 binary32) (.f32 (cos.f32 (*.f32 x (PI.f32))) #s(literal 0 binary32)))
(fma.f32 #s(literal -1 binary32) (sin.f32 (.f32 x (PI.f32))) (.f32 (cos.f32 (*.f32 x (PI.f32))) #s(literal 0 binary32)))
(fma.f32 #s(literal 0 binary32) (cos.f32 (.f32 x (PI.f32))) (.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal -1 binary32)))
(sin.f32 (fma.f32 x (PI.f32) (PI.f32)))
(sin.f32 (*.f32 (neg.f32 x) (PI.f32)))
(+.f32 (.f32 (cos.f32 (.f32 x (PI.f32))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal -1 binary32)))
(+.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal -1 binary32)) (.f32 (cos.f32 (.f32 x (PI.f32))) #s(literal 0 binary32)))
(cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))
(/.f32 (-.f32 (.f32 (PI.f32) (PI.f32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (-.f32 (PI.f32) (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (neg.f32 (-.f32 (*.f32 x (PI.f32)) (PI.f32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 x (PI.f32)) (PI.f32)))
(/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 x (PI.f32)) (PI.f32)))))
(/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32))) (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 x (PI.f32)) (PI.f32))))
(-.f32 (*.f32 x (PI.f32)) (neg.f32 (PI.f32)))
(-.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32)))
(fma.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x) (PI.f32))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x) (PI.f32))
(fma.f32 x (PI.f32) (PI.f32))
(fma.f32 (PI.f32) x (PI.f32))
(+.f32 (/.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 x (PI.f32))) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(+.f32 (*.f32 x (PI.f32)) (PI.f32))
(+.f32 (PI.f32) (*.f32 x (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (neg.f32 (neg.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(fabs.f32 (*.f32 (PI.f32) (PI.f32)))
(exp.f32 (+.f32 (log.f32 (PI.f32)) (log.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(.f32 (.f32 (*.f32 x x) (neg.f32 (PI.f32))) (PI.f32))
(.f32 (.f32 (*.f32 x x) (PI.f32)) (neg.f32 (PI.f32)))
(.f32 (.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)) (fabs.f32 x)) (fabs.f32 x))
(.f32 (.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)) (neg.f32 x)) (neg.f32 x))
(.f32 (.f32 (*.f32 (neg.f32 x) (PI.f32)) x) (PI.f32))
(.f32 (.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32)) x)
(.f32 (.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32))) x)
(.f32 (neg.f32 (PI.f32)) (.f32 (PI.f32) (*.f32 x x)))
(.f32 (fabs.f32 x) (.f32 (fabs.f32 x) (*.f32 (neg.f32 (PI.f32)) (PI.f32))))
(.f32 (.f32 x x) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (*.f32 x x))
(.f32 (.f32 (PI.f32) (PI.f32)) (neg.f32 (*.f32 x x)))
(.f32 (.f32 (neg.f32 x) (PI.f32)) (*.f32 x (PI.f32)))
(.f32 (neg.f32 x) (.f32 (neg.f32 x) (*.f32 (neg.f32 (PI.f32)) (PI.f32))))
(.f32 (neg.f32 x) (.f32 (*.f32 x (PI.f32)) (PI.f32)))
(.f32 (.f32 x (PI.f32)) (*.f32 (neg.f32 x) (PI.f32)))
(.f32 x (.f32 (PI.f32) (*.f32 (neg.f32 x) (PI.f32))))
(.f32 (PI.f32) (.f32 (neg.f32 x) (*.f32 x (PI.f32))))
(.f32 (PI.f32) (.f32 (neg.f32 (PI.f32)) (*.f32 x x)))
(neg.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(.f32 (neg.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)))
(.f32 (sin.f32 (.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (fma.f32 x (PI.f32) (PI.f32))))
(.f32 (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)) (neg.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))))
(.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (neg.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (fma.f32 tau x #s(literal 2 binary32)) x))) (cos.f32 (.f32 (PI.f32) (+.f32 (fma.f32 tau x #s(literal 2 binary32)) x))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (-.f32 (cos.f32 (.f32 x (fma.f32 tau (PI.f32) (PI.f32)))) (cos.f32 (.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (PI.f32)) x))) (cos.f32 (.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 x (PI.f32)) (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (PI.f32) (+.f32 (fma.f32 tau x #s(literal 2 binary32)) x)))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (.f32 x (fma.f32 tau (PI.f32) (PI.f32)))) (cos.f32 (.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32))))) #s(literal -2 binary32))
(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (fma.f32 tau x #s(literal 2 binary32)) x))) (cos.f32 (.f32 (PI.f32) (+.f32 (fma.f32 tau x #s(literal 2 binary32)) x)))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) #s(literal 2 binary32))
(-.f32 (/.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))) #s(literal 2 binary32)))
(-.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (fma.f32 tau x #s(literal 2 binary32)) x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (.f32 (PI.f32) (+.f32 (fma.f32 tau x #s(literal 2 binary32)) x))) #s(literal 2 binary32)))
(fma.f32 (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (cos.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) #s(literal 0 binary32)) (sin.f32 (.f32 x (PI.f32)))))
(fma.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (cos.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) #s(literal 0 binary32))))
(+.f32 (.f32 (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (cos.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) #s(literal 0 binary32)) (sin.f32 (*.f32 x (PI.f32)))))
(+.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)))) (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (cos.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) #s(literal 0 binary32))))
(neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))))

eval66.0ms (1.1%)

Memory: 39.2MiB live, 133.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 22 866 to 2 600 computations (88.6% saved)

prune64.0ms (1%)

Memory

-3.6MiB live, 136.5MiB allocated; 7ms collecting garbage

Pruning

61 alts after pruning (55 fresh and 6 done)

	Pruned	Kept	Total
New	598	28	626
Fresh	7	27	34
Picked	3	2	5
Done	1	4	5
Total	609	61	670

Accuracy

100.0%

Counts

670 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(/.f32 (/.f32 (/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (.f32 (.f32 tau (PI.f32)) x)) tau) (PI.f32)) x)
	77.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (.f32 (PI.f32) x)))
	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 (neg.f32 x) (PI.f32)))
	63.8%	(/.f32 (/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 tau x)) (PI.f32))
	63.6%	(/.f32 (/.f32 #s(approx (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau #s(literal 0 binary32)) x)) (.f32 x (PI.f32))) (.f32 tau (.f32 (PI.f32) x)))
✓	77.5%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	59.9%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 tau (*.f32 (PI.f32) x)))
	77.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32))) (sin.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) x)))) x)
	79.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (neg.f32 x)) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	81.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)))) (.f32 x (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) (PI.f32))
	79.1%	(/.f32 (.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
	79.0%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 (PI.f32) x) tau)))
	77.6%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 (PI.f32) x) tau)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 tau (PI.f32))) x))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) (PI.f32)) (.f32 tau x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) x) (.f32 tau (PI.f32))))
✓	98.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (PI.f32) x) tau)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 tau x) (PI.f32))))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) (PI.f32))) (.f32 x x)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (PI.f32) x) tau)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x)) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau))
	80.2%	(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 (PI.f32) x) tau)))
	4.0%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal -1 binary32)) tau)) (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x)))
	64.3%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal -1 binary32)) tau)) (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 tau (*.f32 (PI.f32) x)))
	70.3%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal -1 binary32)) tau)) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 x) (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	62.9%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (.f32 (fma.f32 #s(approx (+ ( (* -1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))) tau #s(literal -1 binary32)) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	52.8%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau)) (sin.f32 #s(approx (+ (* (PI) x) (PI)) (.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x)))) (.f32 tau (*.f32 (PI.f32) x)))
	3.9%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau)) (sin.f32 #s(approx (+ (* (PI) x) (PI)) (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x)))
	54.4%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau)) (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 tau (.f32 (PI.f32) x)))
	63.8%	(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	63.9%	(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau (.f32 (PI.f32) x)))
	64.8%	(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 (PI.f32) x)))
	64.7%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
	78.7%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) x)) x)
	64.7%	(/.f32 #s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) #s(approx (+ (* (neg tau) (sin (* (neg x) (PI)))) 0) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 x x)) (.f32 (PI.f32) tau)) x))) (.f32 tau (*.f32 (PI.f32) x)))
	63.6%	(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (neg x) (PI)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (PI.f32) x) tau)))
	81.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.8%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	53.3%	(.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau)))
	86.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	71.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	78.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (PI.f32)))
	77.7%	(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
✓	77.8%	(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.5%	(.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	81.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	79.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
	64.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) #s(literal 1 binary32)) (*.f32 (PI.f32) x)))
	80.9%	(.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	85.5%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	71.0%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	78.7%	#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/.f32 (.f32 (fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x) x))
	53.3%	#s(approx (/ (/ (* (sin (+ (* (+ (* x tau) 1) (PI)) (PI))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
	64.8%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
✓	6.3%	#s(approx (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) #s(literal 0 binary32))
	78.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
✓	64.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 567 to 1 572 computations (65.6% saved)

regimes155.0ms (2.5%)

Memory

37.3MiB live, 252.1MiB allocated; 85ms collecting garbage

Counts

98 → 1

Calls

Call 1

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

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

Calls

4 calls:

49.0ms	(*.f32 x (PI.f32))
38.0ms	(.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))))
34.0ms	x
29.0ms	tau

Results

Accuracy	Segments	Branch
98.3%	1	`(*.f32 x (PI.f32))`
98.3%	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))))`
98.3%	1	`x`
98.3%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes82.0ms (1.3%)

Memory

-31.4MiB live, 158.3MiB allocated; 26ms collecting garbage

Counts

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

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

Calls

4 calls:

26.0ms	(*.f32 x (PI.f32))
16.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
16.0ms	x
15.0ms	tau

Results

Accuracy	Segments	Branch
98.2%	1	`(*.f32 x (PI.f32))`
98.2%	1	`x`
98.2%	1	`tau`
98.2%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes51.0ms (0.8%)

Memory

6.9MiB live, 100.4MiB allocated; 5ms collecting garbage

Counts

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes47.0ms (0.8%)

Memory

3.3MiB live, 98.4MiB allocated; 8ms collecting garbage

Counts

42 → 2

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

Outputs

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

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

Calls

4 calls:

13.0ms	(*.f32 x (PI.f32))
12.0ms	x
10.0ms	tau
10.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
97.0%	2	`(*.f32 x (PI.f32))`
96.9%	2	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.0%	2	`x`
86.5%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes46.0ms (0.7%)

Memory

20.7MiB live, 113.7MiB allocated; 3ms collecting garbage

Counts

41 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
86.5%	1	`tau`
86.5%	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))))`
86.5%	1	`(*.f32 x (PI.f32))`
86.5%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes38.0ms (0.6%)

Memory

-13.5MiB live, 81.7MiB allocated; 6ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

10.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
10.0ms	tau
8.0ms	x
8.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
79.6%	1	`(*.f32 x (PI.f32))`
79.6%	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))))`
79.6%	1	`x`
79.6%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes36.0ms (0.6%)

Memory

-8.9MiB live, 83.6MiB allocated; 4ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

10.0ms	(*.f32 x (PI.f32))
9.0ms	tau
8.0ms	x
8.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
78.9%	1	`(*.f32 x (PI.f32))`
78.9%	1	`x`
78.9%	1	`tau`
78.9%	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)

regimes7.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated; 0ms collecting garbage

Accuracy

Total -18.5b remaining (-160.6%)

Threshold costs -18.5b (-160.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) #s(literal 0 binary32))

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

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

Results

Accuracy	Segments	Branch
64.0%	1	`(*.f32 x (PI.f32))`
64.0%	1	`x`
64.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
64.0%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.03310621902346611	0.03401489183306694

Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify75.0ms (1.2%)

Memory

-3.4MiB live, 92.3MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	254
1	92	254
2	176	254
3	460	254
4	881	250
5	1761	250
6	5463	250

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (PI.f32) x) tau)))
(if (<=.f32 x #s(literal 4563403/134217728 binary32)) (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))) (/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (PI.f32) x) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 (PI.f32) x) tau)))
(if (<=.f32 x #s(literal 4563403/134217728 binary32)) (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))) (/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (PI.f32) x) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

derivations287.0ms (4.6%)

Memory

-9.7MiB live, 217.3MiB allocated; 43ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 250 to 64 computations (74.4% saved)

preprocess39.0ms (0.6%)

Memory

0.8MiB live, 93.1MiB allocated; 8ms collecting garbage

Remove

(abs x)

(abs tau)

Compiler

Compiled 878 to 308 computations (64.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze20.0ms (0.3%)

sample2.1s (33.8%)

explain119.0ms (1.9%)

preprocess131.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify89.0ms (1.4%)

localize34.0ms (0.6%)

series34.0ms (0.5%)

simplify148.0ms (2.4%)

rewrite110.0ms (1.8%)

eval30.0ms (0.5%)

prune27.0ms (0.4%)

simplify123.0ms (2%)

localize98.0ms (1.6%)

series58.0ms (0.9%)

simplify115.0ms (1.9%)

rewrite316.0ms (5.1%)

eval203.0ms (3.3%)

prune70.0ms (1.1%)

simplify98.0ms (1.6%)

localize154.0ms (2.5%)

series44.0ms (0.7%)

simplify161.0ms (2.6%)

rewrite135.0ms (2.2%)

eval67.0ms (1.1%)

prune39.0ms (0.6%)

simplify152.0ms (2.5%)

localize202.0ms (3.3%)

series74.0ms (1.2%)

simplify153.0ms (2.5%)

rewrite106.0ms (1.7%)

eval66.0ms (1.1%)

prune64.0ms (1%)

regimes155.0ms (2.5%)

regimes82.0ms (1.3%)

regimes51.0ms (0.8%)

regimes47.0ms (0.8%)

regimes46.0ms (0.7%)

regimes38.0ms (0.6%)

regimes36.0ms (0.6%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

simplify75.0ms (1.2%)

derivations287.0ms (4.6%)

preprocess39.0ms (0.6%)

end0.0ms (0%)

Profiling