Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze29.0ms (0.3%)

Memory

-11.8MiB live, 33.4MiB allocated; 7ms 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)

sample3.0s (30.1%)

Memory

61.8MiB live, 1 700.3MiB allocated; 305ms collecting garbage

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

const: 433.0ms (35.6% of total)

ival-mult: 185.0ms (15.2% of total)

ival-div: 162.0ms (13.3% of total)

ival-sin: 136.0ms (11.2% of total)

ival-sinu: 126.0ms (10.4% of total)

ival-<=: 93.0ms (7.6% of total)

ival-pi: 42.0ms (3.5% of total)

ival-and: 24.0ms (2% of total)

exact: 9.0ms (0.7% of total)

ival-assert: 4.0ms (0.3% of total)

adjust: 3.0ms (0.2% of total)

Bogosity

explain133.0ms (1.4%)

Memory

16.3MiB live, 204.6MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
3	-	2	(0.3069327473640442 3.287348985671997)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
1	-	1	(0.981507420539856 1.9426119327545166)	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f32`	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`	cancellation	1	2

Confusion

	Predicted +	Predicted -
+	1	5
-	0	250

Precision

1.0

Recall

0.16666666666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	2	3
-	0	0	250

Precision?

1.0

Recall?

0.5

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

62.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sinu: 13.0ms (30.4% of total)

ival-div: 10.0ms (23.4% of total)

ival-mult: 9.0ms (21% of total)

ival-sin: 7.0ms (16.4% of total)

ival-pi: 2.0ms (4.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess65.0ms (0.7%)

Memory

7.7MiB live, 45.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	123
1	87	123
2	371	107
3	1864	107
4	4147	107
5	6125	107
6	7089	107
0	13	21
0	19	21
0	19	21

Stop Event

1×	saturated
1×	saturated
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))))

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

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(.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)

simplify4.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms 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	13	62
0	19	62
0	19	62

Stop Event

1×	saturated
1×	saturated
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 (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)))

localize39.0ms (0.4%)

Memory

-12.3MiB live, 35.0MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3551750488422101	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.37109375	(*.f32 x (PI.f32))
accuracy	0.39620421011392465	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.4342575195368841	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

Samples

28.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sin: 7.0ms (34.1% of total)

ival-mult: 5.0ms (24.3% of total)

ival-sinu: 4.0ms (19.5% of total)

ival-div: 3.0ms (14.6% of total)

ival-pi: 1.0ms (4.9% of total)

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

adjust: 0.0ms (0% of total)

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

series43.0ms (0.4%)

Memory

-29.9MiB live, 24.8MiB allocated; 24ms collecting garbage

Counts

6 → 31

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)))
(*.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 (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) 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
23.0ms	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))) (* 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))) (* 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))) (* x (PI)))
3.0ms	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))) (* 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))) (* x (PI)))

simplify454.0ms (4.6%)

Memory

24.1MiB live, 110.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	261	1220
1	806	1198
2	3641	1174
0	8264	1174
1	9349	1149
2	14747	1149
3	20206	1149
4	22809	1149
5	23923	1149
6	24241	1149
7	24256	1149
8	24257	1149

Stop Event

1×	saturated
1×	node limit

Counts

31 → 8

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

rewrite192.0ms (2%)

Memory

8.2MiB live, 110.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	19	55
2	21	55
3	25	55
4	29	55
5	31	55
6	33	55
0	33	55
1	69	55
2	364	55
0	3629	55
1	4308	55
2	6032	55
3	7022	55
4	7718	55
5	8235	55
6	8271	55

Stop Event

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

Counts

6 → 321

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)))
(*.f32 x (PI.f32))

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (sqrt.f32 (PI.f32)) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (*.f32 (cbrt.f32 (PI.f32)) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) tau))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) tau) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 tau)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (cbrt.f32 (PI.f32))))
(.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 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) tau))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (*.f32 (neg.f32 tau) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 tau) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (neg.f32 tau) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))))
(.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)))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) tau)))
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(sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32)))
(sin.f32 (fma.f32 (*.f32 (neg.f32 tau) x) (PI.f32) (PI.f32)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(neg.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (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) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (.f32 tau x) (cbrt.f32 (PI.f32))) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 tau (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 tau (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 tau (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 (cbrt.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 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (.f32 (cbrt.f32 (PI.f32)) tau))
(.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 (neg.f32 tau) (.f32 (neg.f32 (PI.f32)) x))
(.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 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (cbrt.f32 (PI.f32)) x) tau))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 tau x)))
(.f32 (neg.f32 (neg.f32 tau)) (.f32 (PI.f32) x))
(.f32 (.f32 tau x) (PI.f32))
(.f32 (.f32 tau (PI.f32)) x)
(.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 tau))
(.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 (cosh.f32 (log.f32 (PI.f32))) (.f32 tau x) (.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 tau x)))
(fma.f32 (.f32 tau x) (cosh.f32 (log.f32 (PI.f32))) (.f32 (*.f32 tau x) (sinh.f32 (log.f32 (PI.f32)))))
(+.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)) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (cbrt.f32 (PI.f32))) (sqrt.f32 (cbrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(/.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 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (neg.f32 x))
(/.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))) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (*.f32 (cbrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (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 (PI.f32)) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (PI.f32))) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (sqrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 x (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(.f32 (neg.f32 (cbrt.f32 (PI.f32))) (.f32 (neg.f32 (cbrt.f32 (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) x))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x))
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) x (*.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(fma.f32 x (cosh.f32 (log.f32 (PI.f32))) (*.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) x) (.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(+.f32 (.f32 x (cosh.f32 (log.f32 (PI.f32)))) (.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) x))

eval1.6s (16.2%)

Memory: 10.5MiB live, 57.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 11 227 to 1 258 computations (88.8% saved)

prune35.0ms (0.4%)

Memory

-30.7MiB live, 61.1MiB allocated; 5ms collecting garbage

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	422	33	455
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	423	33	456

Accuracy

99.7%

Counts

456 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x)) (cbrt.f32 (PI.f32)))
	96.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) tau) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
	77.7%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau (PI.f32))))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 x (.f32 (PI.f32) x)))
	81.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 x (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	97.1%	(/.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))
▶	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
▶	97.4%	(/.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)))
	79.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32))))
	81.6%	(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) tau) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))))
	81.7%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (neg.f32 tau) x) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	78.2%	(.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (.f32 (cbrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (neg.f32 x)))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
	97.0%	(.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))))
	97.1%	(.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))))
	97.1%	(.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)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32)))))
	63.3%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.7%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
▶	81.6%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	77.7%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
	79.2%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	81.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	96.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
▶	97.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	63.5%	#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)))

Compiler

Compiled 1 536 to 880 computations (42.7% saved)

simplify109.0ms (1.1%)

Memory

-12.2MiB live, 60.1MiB allocated; 77ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))
cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
cost-diff	0	(/.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)))
cost-diff	0	(*.f32 tau x)
cost-diff	0	(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
cost-diff	0	(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (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 (PI.f32) x))
cost-diff	0	#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)))
cost-diff	0	(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))
cost-diff	0	#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))))
cost-diff	0	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	382
0	53	382
1	66	382
2	123	382
3	330	382
4	719	382
5	1161	382
6	1781	382
7	3856	382
8	7438	382
9	7554	382
10	7753	382
0	8044	382

Stop Event

1×	saturated
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize116.0ms (1.2%)

Memory

32.2MiB live, 171.8MiB allocated; 8ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.37109375	(*.f32 (PI.f32) x)
accuracy	0.3873825195368841	(.f32 (PI.f32) (.f32 tau (PI.f32)))
accuracy	0.39453125	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))
accuracy	0.39620421011392465	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.36328125	(.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy	0.37109375	(*.f32 (PI.f32) x)
accuracy	0.37699130861065216	(/.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)))
accuracy	0.39620421011392465	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.37109375	(*.f32 (PI.f32) x)
accuracy	0.38671875	(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
accuracy	0.4030075195368841	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
accuracy	5.444756854330027	(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
accuracy	0.26099133277819153	(sin.f32 (*.f32 (PI.f32) x))
accuracy	0.37109375	(*.f32 (PI.f32) x)
accuracy	0.4342575195368841	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
accuracy	11.669845304393556	#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)))
accuracy	0.3639450195368841	(.f32 (.f32 tau x) (PI.f32))
accuracy	0.37109375	(*.f32 x (PI.f32))
accuracy	0.39620421011392465	(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
accuracy	0.4342575195368841	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

Samples

88.0ms

256×

valid

Compiler

Compiled 352 to 37 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 28.0ms (39.6% of total)

ival-sin: 16.0ms (22.6% of total)

ival-div: 13.0ms (18.4% of total)

ival-sinu: 9.0ms (12.7% of total)

ival-pi: 1.0ms (1.4% of total)

ival-add: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

series57.0ms (0.6%)

Memory

-38.8MiB live, 58.9MiB allocated; 11ms collecting garbage

Counts

23 → 124

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (* tau x) (PI)) (sin (* tau (* (PI) x))) (* (* tau (* (PI) x)) (PI)) (* (PI) (* tau (PI))))
8.0ms	x	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (* tau x) (PI)) (sin (* tau (* (PI) x))) (* (* tau (* (PI) x)) (PI)) (* (PI) (* tau (PI))))
6.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (* tau x) (PI)) (sin (* tau (* (PI) x))) (* (* tau (* (PI) x)) (PI)) (* (PI) (* tau (PI))))
6.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (* tau x) (PI)) (sin (* tau (* (PI) x))) (* (* tau (* (PI) x)) (PI)) (* (PI) (* tau (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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (* tau x) (PI)) (sin (* tau (* (PI) x))) (* (* tau (* (PI) x)) (PI)) (* (PI) (* tau (PI))))

simplify419.0ms (4.3%)

Memory

11.3MiB live, 103.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	676	4979
1	2130	4714
0	8086	4623
1	9893	4582
2	14167	4580
3	17530	4580
4	18642	4580
5	19156	4580
6	19456	4580
7	19481	4580
8	19486	4580

Stop Event

1×	saturated
1×	node limit

Counts

124 → 44

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

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

rewrite444.0ms (4.5%)

Memory

18.8MiB live, 204.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	271
1	53	271
2	62	271
3	77	271
4	92	271
5	100	271
6	106	271
7	108	271
0	108	275
1	260	269
2	1228	267
0	8465	267
1	10037	267
2	15346	267
3	18327	267
4	19643	267
5	20371	267
6	20555	267
7	20565	267
8	20567	267

Stop Event

1×	saturated
1×	node limit
1×	saturated

Counts

23 → 890

Calls

Call 1

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

Outputs
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) x)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (PI.f32) x)) tau))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 tau x)) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (PI.f32) tau))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau)) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (PI.f32))) (*.f32 (neg.f32 x) tau))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 tau x)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x)) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau x)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (neg.f32 x) tau)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (*.f32 (PI.f32) x)) (neg.f32 tau))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (PI.f32) x)) (neg.f32 (neg.f32 tau)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (PI.f32) tau)) x)
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (PI.f32)) (*.f32 tau x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (neg.f32 x)) (*.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) x) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (*.f32 (PI.f32) x)) tau))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (neg.f32 x) tau)) (PI.f32)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (PI.f32) x)) (neg.f32 tau)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 tau x)) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) x) (*.f32 (neg.f32 tau) (PI.f32))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (neg.f32 x)) (*.f32 (PI.f32) tau)))
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) (.f32 tau x))))) (sin.f32 (.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (sin.f32 (.f32 (PI.f32) (*.f32 tau x))))
(sin.f32 (neg.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))))
(sin.f32 (+.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)) (PI.f32)))
(sin.f32 (fma.f32 (*.f32 (neg.f32 x) tau) (PI.f32) (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 (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 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (*.f32 (cbrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (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 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(/.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 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (PI.f32))) x))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (neg.f32 x)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))
(sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32))))
(sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)))
(sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(neg.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) x (*.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(fma.f32 x (cosh.f32 (log.f32 (PI.f32))) (*.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) x) (.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(+.f32 (.f32 x (cosh.f32 (log.f32 (PI.f32)))) (.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (*.f32 (neg.f32 x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (.f32 (.f32 (PI.f32) x) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (.f32 (.f32 (PI.f32) x) x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 tau x))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (PI.f32)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) x) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (cbrt.f32 (PI.f32)) x)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (sqrt.f32 (PI.f32)) x)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (cbrt.f32 (PI.f32)) x)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) (.f32 tau x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 tau x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (.f32 (PI.f32) x) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (*.f32 (PI.f32) x) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x x)) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (PI.f32)))
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(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(/.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 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (PI.f32))) x))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (neg.f32 x)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) x (*.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(fma.f32 x (cosh.f32 (log.f32 (PI.f32))) (*.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) x) (.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(+.f32 (.f32 x (cosh.f32 (log.f32 (PI.f32)))) (.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (*.f32 (neg.f32 x) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 (neg.f32 x) tau) (neg.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau x)) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)))
(.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 tau x)) (cbrt.f32 (PI.f32)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 tau x)))
(.f32 (neg.f32 x) (.f32 (neg.f32 tau) (PI.f32)))
(.f32 (neg.f32 (neg.f32 tau)) (.f32 (PI.f32) x))
(.f32 (neg.f32 (.f32 (neg.f32 x) tau)) (PI.f32))
(.f32 (neg.f32 (PI.f32)) (.f32 (neg.f32 x) tau))
(.f32 (.f32 (neg.f32 x) (PI.f32)) (neg.f32 tau))
(.f32 (.f32 (PI.f32) tau) x)
(.f32 (.f32 (neg.f32 tau) (PI.f32)) (neg.f32 x))
(.f32 (neg.f32 tau) (.f32 (neg.f32 x) (PI.f32)))
(.f32 (.f32 (PI.f32) x) (neg.f32 (neg.f32 tau)))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 (PI.f32) (neg.f32 (.f32 (neg.f32 x) tau)))
(.f32 (PI.f32) (.f32 tau x))
(.f32 (.f32 tau x) (PI.f32))
(.f32 tau (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) tau))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 tau x) (.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 tau x)))
(fma.f32 (.f32 tau x) (cosh.f32 (log.f32 (PI.f32))) (.f32 (*.f32 tau x) (sinh.f32 (log.f32 (PI.f32)))))
(+.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 (neg.f32 tau) (PI.f32)) x))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) (.f32 tau x))))) (sin.f32 (.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (sin.f32 (.f32 (PI.f32) (*.f32 tau x))))
(sin.f32 (neg.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))))
(sin.f32 (+.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)) (PI.f32)))
(sin.f32 (fma.f32 (*.f32 (neg.f32 x) tau) (PI.f32) (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 (PI.f32) (.f32 tau x))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (PI.f32) (.f32 tau x))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 tau x))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 tau x))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 (PI.f32) (.f32 tau x))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (.f32 (PI.f32) (*.f32 tau x))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 tau x))))
(.f32 (neg.f32 (neg.f32 tau)) (.f32 (*.f32 (PI.f32) (PI.f32)) x))
(.f32 (neg.f32 (PI.f32)) (.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))
(.f32 (.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) (neg.f32 (PI.f32)))
(.f32 (.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)
(.f32 (.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
(.f32 (neg.f32 tau) (.f32 (neg.f32 x) (*.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau))
(.f32 (.f32 (PI.f32) (*.f32 tau x)) (PI.f32))
(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 tau x)))
(.f32 (.f32 tau x) (*.f32 (PI.f32) (PI.f32)))
(.f32 tau (neg.f32 (.f32 (neg.f32 x) (*.f32 (PI.f32) (PI.f32)))))
(.f32 tau (.f32 (*.f32 (PI.f32) (PI.f32)) x))
(.f32 x (.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 (PI.f32) (.f32 tau x)) (.f32 (sinh.f32 (log.f32 (PI.f32))) (.f32 (PI.f32) (*.f32 tau x))))
(fma.f32 (.f32 (PI.f32) (.f32 tau x)) (cosh.f32 (log.f32 (PI.f32))) (.f32 (.f32 (PI.f32) (*.f32 tau x)) (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 (PI.f32) (.f32 tau x))) (.f32 (sinh.f32 (log.f32 (PI.f32))) (.f32 (PI.f32) (.f32 tau x))))
(+.f32 (.f32 (.f32 (PI.f32) (.f32 tau x)) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (.f32 (.f32 (*.f32 (neg.f32 tau) (PI.f32)) (PI.f32)) x))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)) tau))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) tau)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (PI.f32) tau)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) tau)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (PI.f32) (PI.f32)) tau)
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) tau)))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (.f32 (PI.f32) tau)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) tau)))
(.f32 (neg.f32 (PI.f32)) (.f32 (neg.f32 tau) (PI.f32)))
(.f32 (.f32 (PI.f32) tau) (PI.f32))
(.f32 (.f32 (neg.f32 tau) (PI.f32)) (neg.f32 (PI.f32)))
(.f32 (PI.f32) (.f32 (PI.f32) tau))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 (PI.f32) tau) (.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 (PI.f32) tau)))
(fma.f32 (.f32 (PI.f32) tau) (cosh.f32 (log.f32 (PI.f32))) (.f32 (*.f32 (PI.f32) tau) (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 (PI.f32) tau)) (.f32 (sinh.f32 (log.f32 (PI.f32))) (.f32 (PI.f32) tau)))
(+.f32 (.f32 (.f32 (PI.f32) tau) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 (PI.f32) tau) (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32)))

eval67.0ms (0.7%)

Memory: -5.5MiB live, 134.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 23 533 to 2 229 computations (90.5% saved)

prune61.0ms (0.6%)

Memory

-15.5MiB live, 132.6MiB allocated; 15ms collecting garbage

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	696	35	731
Fresh	17	11	28
Picked	2	3	5
Done	0	0	0
Total	715	49	764

Accuracy

99.8%

Counts

764 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau (PI.f32))))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 x (.f32 (PI.f32) x)))
	95.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	95.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (PI.f32) (.f32 tau x))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))))
✓	97.4%	(/.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)))
	70.0%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	70.4%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	79.3%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (.f32 (.f32 (neg.f32 x) x) (.f32 (*.f32 (PI.f32) tau) (PI.f32))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) x))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 x) x) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32))))
	70.1%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	70.5%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	62.6%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	62.5%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	79.9%	(.f32 (fma.f32 (sin.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (.f32 (.f32 tau tau) tau) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (cos.f32 (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (.f32 (cos.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (.f32 (.f32 tau tau) tau) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (sin.f32 (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	81.7%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (neg.f32 tau) x) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	79.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (neg.f32 x)))
▶	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32)))))
	63.3%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	79.8%	(.f32 (+.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (neg.f32 (PI.f32))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	77.7%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
✓	81.6%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	59.4%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	79.3%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (neg.f32 x)))
▶	77.7%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
	79.3%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (.f32 (*.f32 (PI.f32) x) x) tau) (neg.f32 (PI.f32)))))
	81.5%	(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	97.2%	(.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	96.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) x) tau) (neg.f32 (PI.f32)))))
	97.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) x)))
	96.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
▶	97.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	63.4%	(.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (.f32 (neg.f32 (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	96.8%	#s(approx (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
▶	63.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
	63.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
	63.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
	52.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)))
	52.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
	51.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
	63.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
✓	63.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
▶	62.7%	#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))

Compiler

Compiled 2 688 to 1 490 computations (44.6% saved)

simplify54.0ms (0.6%)

Memory

19.0MiB live, 66.6MiB allocated; 2ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f32 (PI.f32) (.f32 tau x))
cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (PI.f32) tau))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
cost-diff	0	(PI.f32)
cost-diff	0	(fma.f32 (PI.f32) x (PI.f32))
cost-diff	0	(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))
cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
cost-diff	0	(/.f32 x x)
cost-diff	0	#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))
cost-diff	0	(sin.f32 (.f32 (.f32 (PI.f32) tau) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x))
cost-diff	0	#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)))
cost-diff	0	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	366
0	66	365
1	111	365
2	286	365
3	1003	363
4	2997	363
5	6418	363
0	8673	363

Stop Event

1×	saturated
1×	node limit
1×	iter limit

Calls

Call 1

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

Outputs
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x))
(sin.f32 (.f32 (.f32 (PI.f32) tau) x))
(.f32 (.f32 (PI.f32) tau) x)
(*.f32 (PI.f32) tau)
(PI.f32)
tau
x
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))
(/.f32 x x)
x
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.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 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(*.f32 (sqrt.f32 (PI.f32)) x)
(sqrt.f32 (PI.f32))
(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(PI.f32)
x
(/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 tau (PI.f32))))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(*.f32 tau x)
tau
(.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))
(.f32 (.f32 (PI.f32) x) x)
(*.f32 (PI.f32) x)
(*.f32 tau (PI.f32))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (PI.f32) tau))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(.f32 (PI.f32) (.f32 tau x))
(PI.f32)
(*.f32 tau x)
tau
x
(*.f32 (PI.f32) tau)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(.f32 (.f32 (PI.f32) x) x)

localize132.0ms (1.3%)

Memory

13.2MiB live, 154.0MiB allocated; 6ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.3639450195368841	(.f32 (PI.f32) (.f32 tau x))
accuracy	0.37109375	(*.f32 (PI.f32) x)
accuracy	0.38900375976844204	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
accuracy	0.39620421011392465	(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
accuracy	0.38671875	(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
accuracy	0.4537887695368841	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
accuracy	5.444756854330027	(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
accuracy	6.098437732498086	(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
accuracy	0.371757519536884	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))
accuracy	0.40234375	(*.f32 (sqrt.f32 (PI.f32)) x)
accuracy	0.453125	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
accuracy	11.669845304393556	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
accuracy	0.0	(/.f32 x x)
accuracy	11.927092859839947	#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))
accuracy	0.3551750488422101	(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x))
accuracy	0.37109375	(*.f32 x (PI.f32))
accuracy	0.39620421011392465	(sin.f32 (.f32 (.f32 (PI.f32) tau) x))
accuracy	0.4342575195368841	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

Samples

106.0ms

256×

valid

Compiler

Compiled 332 to 43 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 31.0ms (34.7% of total)

ival-sin: 28.0ms (31.3% of total)

ival-div: 14.0ms (15.7% of total)

ival-sinu: 9.0ms (10.1% of total)

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

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

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

ival-neg: 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)

series36.0ms (0.4%)

Memory

-5.9MiB live, 40.2MiB allocated; 3ms collecting garbage

Counts

24 → 123

Calls

Call 1

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

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

Calls

6 calls:

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

simplify376.0ms (3.8%)

Memory

19.3MiB live, 112.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	731	4341
1	2343	4035
0	8881	3950
1	10584	3913
2	14696	3913
3	17714	3913
4	18523	3913
5	18825	3913
6	18963	3913
7	18973	3913
8	18974	3913

Stop Event

1×	saturated
1×	node limit

Counts

123 → 43

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 (* (* (PI) tau) x)) (* (* (PI) tau) x)) #s(hole binary32 1))
#s(approx (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) 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 (* (* (PI) tau) x)) (* (* (PI) tau) 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 (* (* (PI) tau) x)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) tau) x)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) tau) x)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) tau) x)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (* -1 (/ (sin (PI)) (* tau (* x (PI)))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (* tau (PI))))) x)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))))) x)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau))))))))) x)))
#s(approx (/ x x) #s(hole binary32 1))
#s(approx (/ (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sqrt (PI))) #s(hole binary32 1))
#s(approx (/ (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sqrt (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sqrt (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sqrt (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) #s(hole binary32 (sqrt (PI))))
#s(approx (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) #s(hole binary32 (+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5)))))))
#s(approx (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) #s(hole binary32 (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9)))))))))
#s(approx (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) #s(hole binary32 (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sqrt (pow (PI) 13)))) (* 1/120 (sqrt (pow (PI) 9))))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #s(hole binary32 (/ (pow (sin (PI)) 2) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #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 (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #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 (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #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 (+ (* (PI) x) (PI))) #s(hole binary32 (sin (PI))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (* (PI) (cos (PI)))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))) (* (PI) (cos (PI))))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* -1/6 (* x (* (pow (PI) 3) (cos (PI))))))) (* (PI) (cos (PI))))))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (+ (PI) (* x (PI)))))
#s(approx (* (/ (sin (* (PI) (* tau x))) (* (PI) tau)) (/ (sin (* (PI) x)) (* (* (PI) x) x))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (PI) (* tau x))) (* (PI) tau)) (/ (sin (* (PI) x)) (* (* (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 (* (PI) (* tau x))) (* (PI) tau)) (/ (sin (* (PI) x)) (* (* (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 (* (PI) (* tau x))) (* (PI) tau)) (/ (sin (* (PI) x)) (* (* (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))) (* (PI) tau)) #s(hole binary32 x))
#s(approx (/ (sin (* (PI) (* tau x))) (* (PI) tau)) #s(hole binary32 (* x (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (PI) (* tau x))) (* (PI) tau)) #s(hole binary32 (* x (+ 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 (* (PI) (* tau x))) (* (PI) tau)) #s(hole binary32 (* x (+ 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 (* (PI) (* tau x))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (PI) (* tau x))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (PI) (* tau x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (PI) (* tau x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) (* tau x)) #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 (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx (* (sqrt (PI)) x) #s(hole binary32 (* x (sqrt (PI)))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (sin (PI))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (* x (* (PI) (cos (PI))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI)))))) (* tau (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* x (+ (* tau (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (PI)))))))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (+ (PI) (* tau (* x (PI))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* (PI) tau) x)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (* -1 (/ (* (sin (* x (PI))) (sin (+ (PI) (* tau (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sqrt (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) #s(hole binary32 (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #s(hole binary32 (/ (* (sin (+ (PI) (* tau (* x (PI))))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (sin (+ (* (PI) x) (PI))) #s(hole binary32 (sin (+ (PI) (* x (PI))))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* x (PI))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* x (+ (PI) (/ (PI) x)))))
#s(approx (* (/ (sin (* (PI) (* tau x))) (* (PI) tau)) (/ (sin (* (PI) x)) (* (* (PI) x) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) (* tau x))) (* (PI) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (PI)))))
#s(approx (sin (* (PI) (* tau x))) #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 (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (sin (+ (PI) (* tau (* x (PI)))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* x (+ (* tau (PI)) (/ (PI) x)))))
#s(approx (+ (* (PI) x) (PI)) #s(hole binary32 (* -1 (* x (+ (* -1 (PI)) (* -1 (/ (PI) x)))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (PI) 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)))) #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 (* (* (PI) tau) x)) (* (* (PI) tau) 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 (* (* (PI) tau) x)) (* (* (PI) tau) 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 (* (* (PI) tau) x)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) tau) x)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) tau) x)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)))
#s(approx (* (sin (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #s(hole binary32 (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #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 (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #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 (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #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 (* (PI) (* tau x))) (* (PI) tau)) (/ (sin (* (PI) x)) (* (* (PI) x) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (PI) (* tau x))) (* (PI) tau)) (/ (sin (* (PI) x)) (* (* (PI) x) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (PI) (* tau x))) (* (PI) tau)) (/ (sin (* (PI) x)) (* (* (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 (* (PI) (* tau x))) (* (PI) tau)) (/ (sin (* (PI) x)) (* (* (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 (* (PI) (* tau x))) (* (PI) tau)) #s(hole binary32 (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2)))))))
#s(approx (/ (sin (* (PI) (* tau x))) (* (PI) tau)) #s(hole binary32 (+ 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 (* (PI) (* tau x))) (* (PI) tau)) #s(hole binary32 (+ 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 (sin (* (PI) (* tau x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (PI) (* tau x))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (PI) (* tau x))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))

Outputs
#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 (* (* (PI) tau) x)) (* (* (PI) tau) x)) #s(hole binary32 1))
#s(approx (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) 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 (* (* (PI) tau) x)) (* (* (PI) tau) 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 (* (* (PI) tau) x)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (PI) (* tau x))) (.f32 (.f32 (PI.f32) tau) x))
#s(approx (sin (* (* (PI) tau) x)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) tau) x)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) tau) x)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (* -1 (/ (sin (PI)) (* tau (* x (PI)))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (* tau (PI))))) x)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))))) x)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau))))))))) x)))
#s(approx (/ x x) #s(hole binary32 1))
#s(approx (/ (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sqrt (PI))) #s(hole binary32 1))
#s(approx (/ (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sqrt (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sqrt (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sqrt (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) #s(hole binary32 (sqrt (PI))))
#s(approx (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sqrt.f32 (PI.f32)))
#s(approx (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) #s(hole binary32 (+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5)))))))
#s(approx (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) #s(hole binary32 (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9)))))))))
#s(approx (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) #s(hole binary32 (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sqrt (pow (PI) 13)))) (* 1/120 (sqrt (pow (PI) 9))))))))))
#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)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #s(hole binary32 (/ (pow (sin (PI)) 2) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #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 (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #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 (+ (* (PI) x) (PI))) (/ (sin (+ (* (* tau x) (PI)) (PI))) (* (* (* (PI) x) x) (* tau (PI))))) #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 (+ (* (PI) x) (PI))) #s(hole binary32 (sin (PI))))
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#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))
#s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (neg.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) (neg.f32 tau)))

rewrite110.0ms (1.1%)

Memory

-15.7MiB live, 75.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	273
1	66	273
2	79	273
3	91	273
4	103	273
5	111	273
6	115	273
0	115	270
1	295	256
0	1377	256
1	1966	256
2	2761	256
3	3119	256
4	3218	256
5	3258	256
6	3260	256

Stop Event

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

Counts

24 → 374

Calls

Call 1

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

Outputs
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 (PI.f32) tau))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (PI.f32)) (*.f32 tau x))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 (PI.f32) tau)) x)
(/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (*.f32 x (neg.f32 tau)) (PI.f32)))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (neg.f32 (.f32 (.f32 x (neg.f32 tau)) (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x))
(neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (neg.f32 tau)) (PI.f32))))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (*.f32 (PI.f32) tau) x)))
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
(sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32)))
(sin.f32 (.f32 (.f32 (PI.f32) tau) x))
(neg.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))
(/.f32 x x)
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (neg.f32 x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(neg.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (neg.f32 (sqrt.f32 (PI.f32)))))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x)
(/.f32 (neg.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (*.f32 (neg.f32 x) (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32)))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (sqrt.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)))
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) x) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x (neg.f32 tau)) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) 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) tau) x)) tau) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) tau)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) x) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) tau)) (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (*.f32 (PI.f32) x) x)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) x) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.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) tau) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) tau) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) x)) tau))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) x)) (neg.f32 tau)) (PI.f32)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (*.f32 (PI.f32) tau) x)))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (PI.f32) x) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (*.f32 (PI.f32) x) x) tau)) (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)) (neg.f32 tau)) (PI.f32)))
(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (*.f32 (PI.f32) x) x) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (*.f32 (PI.f32) tau) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) tau) x)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) x)) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (PI.f32) tau)) x)
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) tau) (.f32 (PI.f32) x))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (PI.f32)) (.f32 tau x))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x))) (PI.f32)) x)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x))) x) (PI.f32))
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) x) x))) (PI.f32))
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) x)) (.f32 (neg.f32 (PI.f32)) tau))
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (.f32 x (neg.f32 tau)) (PI.f32)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) tau) (PI.f32))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (PI.f32)) tau)
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) x)
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) tau)) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) (.f32 x x))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (.f32 (*.f32 (PI.f32) x) x) tau)) (PI.f32))
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (*.f32 (PI.f32) x) x) tau)) (PI.f32))
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (PI.f32) tau)) (.f32 (*.f32 (PI.f32) x) x))
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) tau) x))
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(.f32 (.f32 (.f32 tau x) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)))
(.f32 (.f32 tau x) (PI.f32))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 (.f32 (PI.f32) tau) x)
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) tau))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (neg.f32 x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(neg.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (neg.f32 (sqrt.f32 (PI.f32)))))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(.f32 (.f32 x (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) x)
(*.f32 x (sqrt.f32 (PI.f32)))
(sin.f32 (.f32 (.f32 x (neg.f32 tau)) (PI.f32)))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 tau x (/.f32 x x))))
(.f32 (.f32 (fma.f32 tau x (/.f32 x x)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (fma.f32 tau x (/.f32 x x)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (fma.f32 tau x (/.f32 x x)) (PI.f32))
(*.f32 (PI.f32) (fma.f32 tau x (/.f32 x x)))
(/.f32 (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) tau) (.f32 (PI.f32) x))) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (-.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32)))) (neg.f32 (-.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) tau) (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) tau) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (neg.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) tau) (.f32 (PI.f32) x) (.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x))))))
(/.f32 (.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (-.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))) (-.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32)))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) tau) (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) tau) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) tau) (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) tau) x) (PI.f32)))))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) tau) (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) tau) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) tau) (.f32 (PI.f32) x) (.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)))))
(-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) tau) (.f32 (PI.f32) x)) (-.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))) (/.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))))
(-.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (neg.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))))
(-.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(-.f32 (PI.f32) (.f32 (.f32 x (neg.f32 tau)) (PI.f32)))
(fma.f32 (.f32 (.f32 tau x) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (.f32 (.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)) (PI.f32))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau x)) (PI.f32))
(fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))
(fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))
(fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))
(fma.f32 tau (*.f32 (PI.f32) x) (PI.f32))
(fma.f32 x (*.f32 (PI.f32) tau) (PI.f32))
(+.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) tau) (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) tau) x)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) tau) (.f32 (PI.f32) x) (.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x))))) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) tau) (.f32 (PI.f32) x) (.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x))))))
(+.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))
(+.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(.f32 (.f32 x (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))

eval26.0ms (0.3%)

Memory: -9.3MiB live, 35.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 8 497 to 897 computations (89.4% saved)

prune38.0ms (0.4%)

Memory

8.7MiB live, 56.9MiB allocated; 6ms collecting garbage

Pruning

49 alts after pruning (45 fresh and 4 done)

	Pruned	Kept	Total
New	288	11	299
Fresh	7	34	41
Picked	3	2	5
Done	1	2	3
Total	299	49	348

Accuracy

99.8%

Counts

348 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) x))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau (PI.f32))))
	95.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	95.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (PI.f32) (.f32 tau x))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))))
	70.0%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	70.4%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	81.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 (PI.f32)) (.f32 x x)) (*.f32 (PI.f32) tau)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) x))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 x) x) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) (PI.f32)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32))))
▶	70.1%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	70.5%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
▶	62.6%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	62.5%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	79.9%	(.f32 (fma.f32 (sin.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (.f32 (.f32 tau tau) tau) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (cos.f32 (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (.f32 (cos.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (.f32 (.f32 tau tau) tau) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (sin.f32 (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	77.7%	(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (*.f32 (PI.f32) x) x) tau)) (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
	81.7%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (neg.f32 tau) x) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
	70.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
▶	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	63.3%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	79.8%	(.f32 (+.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (neg.f32 (PI.f32))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	77.7%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
✓	81.6%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	59.4%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	79.3%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (neg.f32 x)))
	77.7%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
	79.3%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (.f32 (*.f32 (PI.f32) x) x) tau) (neg.f32 (PI.f32)))))
▶	81.5%	(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
▶	97.4%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) (PI.f32))))
	96.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) x) tau) (neg.f32 (PI.f32)))))
	97.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) x)))
	96.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	63.4%	(.f32 #s(approx (/ (sin ( (PI) (* tau x))) (* (PI) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
	63.4%	(.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (.f32 (neg.f32 (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	59.4%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
	96.8%	#s(approx (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
	63.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
	63.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
	62.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
	52.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)))
	52.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
	51.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
	63.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
✓	63.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
✓	62.7%	#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))

Compiler

Compiled 2 654 to 1 485 computations (44% saved)

simplify63.0ms (0.6%)

Memory

-3.2MiB live, 42.5MiB allocated; 2ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f32 (PI.f32) (.f32 tau x))
cost-diff	0	(-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))
cost-diff	0	(sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
cost-diff	0	(*.f32 (PI.f32) tau)
cost-diff	0	(.f32 (.f32 (PI.f32) tau) x)
cost-diff	0	(sin.f32 (.f32 (.f32 (PI.f32) tau) x))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) (PI.f32))))
cost-diff	0	(PI.f32)
cost-diff	0	#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
cost-diff	0	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))
cost-diff	0	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
cost-diff	0	(*.f32 (PI.f32) (PI.f32))
cost-diff	0	(.f32 (.f32 (PI.f32) (PI.f32)) tau)
cost-diff	0	#s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
cost-diff	0	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (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 tau (*.f32 (PI.f32) x)))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	377
0	55	377
1	64	377
2	79	377
3	89	377
4	95	377
5	124	377
6	188	377
7	280	377
8	405	377
9	489	377
10	676	377
11	1194	377
12	2797	377
13	7244	377
0	8127	377

Stop Event

1×	saturated
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize108.0ms (1.1%)

Memory

28.4MiB live, 118.9MiB allocated; 5ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.37109375	(*.f32 (PI.f32) x)
accuracy	0.4030075195368841	(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
accuracy	0.5068202137346404	(-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))
accuracy	5.080382898001169	(sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)))
accuracy	0.34765625	(*.f32 (PI.f32) tau)
accuracy	0.37109375	(*.f32 (PI.f32) x)
accuracy	0.39620421011392465	(sin.f32 (.f32 (.f32 (PI.f32) tau) x))
accuracy	0.4030075195368841	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) (PI.f32))))
accuracy	0.3873825195368841	(.f32 (PI.f32) (.f32 tau (PI.f32)))
accuracy	0.39453125	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))
accuracy	0.39620421011392465	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	9.295191333265652	#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
accuracy	0.37013627930532605	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
accuracy	0.3873825195368841	(.f32 (PI.f32) (.f32 tau (PI.f32)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	11.610243627691451	#s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
accuracy	0.33203125	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.37109375	(*.f32 (PI.f32) x)
accuracy	0.39620421011392465	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.41539003907376815	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))

Samples

82.0ms

256×

valid

Compiler

Compiled 361 to 37 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 27.0ms (43.4% of total)

ival-sin: 15.0ms (24.1% of total)

ival-div: 10.0ms (16.1% of total)

ival-sinu: 6.0ms (9.6% of total)

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

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

ival-neg: 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)

series46.0ms (0.5%)

Memory

-10.3MiB live, 42.1MiB allocated; 20ms collecting garbage

Counts

23 → 104

Calls

Call 1

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

Outputs
#s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* 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)) (* tau (* (PI) x))) (/ (sin (* 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)) (* tau (* (PI) x))) (/ (sin (* 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)) (* tau (* (PI) x))) #s(hole binary32 (/ 1 tau)))
#s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* tau (* (PI) 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))))
#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 (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
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Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	((* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (/ (sin (* (PI) x)) x) (PI) (* (sin (* (* (PI) tau) x)) (/ (sin (* (PI) x)) (* (* (* (* (PI) tau) x) x) (PI)))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (* (sin (- (* (PI) (* tau x)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (sin (- (* (PI) (* tau x)) (PI))) (- (* (PI) (* tau x)) (PI)) (* (PI) (* tau x)) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* tau (PI))))
6.0ms	tau	@	-inf	((* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (/ (sin (* (PI) x)) x) (PI) (* (sin (* (* (PI) tau) x)) (/ (sin (* (PI) x)) (* (* (* (* (PI) tau) x) x) (PI)))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (* (sin (- (* (PI) (* tau x)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (sin (- (* (PI) (* tau x)) (PI))) (- (* (PI) (* tau x)) (PI)) (* (PI) (* tau x)) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* tau (PI))))
5.0ms	x	@	-inf	((* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (/ (sin (* (PI) x)) x) (PI) (* (sin (* (* (PI) tau) x)) (/ (sin (* (PI) x)) (* (* (* (* (PI) tau) x) x) (PI)))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (* (sin (- (* (PI) (* tau x)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (sin (- (* (PI) (* tau x)) (PI))) (- (* (PI) (* tau x)) (PI)) (* (PI) (* tau x)) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* tau (PI))))
5.0ms	tau	@	inf	((* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (/ (sin (* (PI) x)) x) (PI) (* (sin (* (* (PI) tau) x)) (/ (sin (* (PI) x)) (* (* (* (* (PI) tau) x) x) (PI)))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (* (sin (- (* (PI) (* tau x)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (sin (- (* (PI) (* tau x)) (PI))) (- (* (PI) (* tau x)) (PI)) (* (PI) (* tau x)) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* tau (PI))))
4.0ms	x	@	0	((* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (/ (sin (* (PI) x)) x) (PI) (* (sin (* (* (PI) tau) x)) (/ (sin (* (PI) x)) (* (* (* (* (PI) tau) x) x) (PI)))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) (* (sin (- (* (PI) (* tau x)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (sin (- (* (PI) (* tau x)) (PI))) (- (* (PI) (* tau x)) (PI)) (* (PI) (* tau x)) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* tau (PI))))

simplify492.0ms (5%)

Memory

-15.0MiB live, 120.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	647	4291
1	1998	4075
2	7530	4073
0	8134	3986
1	10052	3964
2	15286	3964
3	19385	3964
4	20772	3964
5	21302	3964
6	21602	3964
7	21628	3964
8	21634	3964

Stop Event

1×	saturated
1×	node limit

Counts

104 → 35

Calls

Call 1

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

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

rewrite398.0ms (4%)

Memory

34.0MiB live, 169.8MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	243
1	55	243
2	66	243
3	80	243
4	91	243
5	100	243
6	106	243
7	108	243
0	108	238
1	227	238
2	1027	238
0	8617	237
1	10448	237
2	14452	237
3	16703	237
4	17682	237
5	18375	237
6	18571	237
7	18577	237
8	18578	237

Stop Event

1×	saturated
1×	node limit
1×	saturated

Counts

23 → 1 228

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (neg.f32 tau))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (cbrt.f32 (PI.f32)) (neg.f32 tau))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 tau))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) (neg.f32 tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (neg.f32 tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) x))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) x))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 x x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (.f32 (.f32 x x) (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (.f32 (*.f32 x x) (cbrt.f32 (PI.f32)))))
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(.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 tau (PI.f32))) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau (PI.f32))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau (PI.f32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))))
(.f32 (neg.f32 (PI.f32)) (.f32 (neg.f32 tau) (PI.f32)))
(.f32 (.f32 (neg.f32 tau) (PI.f32)) (neg.f32 (PI.f32)))
(.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32))
(.f32 (.f32 tau (PI.f32)) (PI.f32))
(.f32 (.f32 (PI.f32) (PI.f32)) tau)
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(.f32 (PI.f32) (.f32 (neg.f32 tau) (PI.f32)))
(.f32 (PI.f32) (.f32 tau (PI.f32)))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 (neg.f32 tau) (PI.f32)) (.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 (neg.f32 tau) (PI.f32))))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 tau (PI.f32)) (.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 tau (PI.f32))))
(fma.f32 (.f32 (neg.f32 tau) (PI.f32)) (cosh.f32 (log.f32 (PI.f32))) (.f32 (*.f32 (neg.f32 tau) (PI.f32)) (sinh.f32 (log.f32 (PI.f32)))))
(fma.f32 (.f32 tau (PI.f32)) (cosh.f32 (log.f32 (PI.f32))) (.f32 (*.f32 tau (PI.f32)) (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 tau (PI.f32))) (.f32 (sinh.f32 (log.f32 (PI.f32))) (.f32 tau (PI.f32))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 (neg.f32 tau) (PI.f32))) (.f32 (sinh.f32 (log.f32 (PI.f32))) (.f32 (neg.f32 tau) (PI.f32))))
(+.f32 (.f32 (.f32 tau (PI.f32)) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (.f32 (.f32 tau (PI.f32)) (neg.f32 (PI.f32))))
(neg.f32 (.f32 (neg.f32 (PI.f32)) (.f32 tau (PI.f32))))
(neg.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau))

eval84.0ms (0.9%)

Memory: -26.4MiB live, 114.7MiB allocated; 23ms collecting garbage
Compiler: Compiled 24 428 to 2 518 computations (89.7% saved)

prune67.0ms (0.7%)

Memory

16.5MiB live, 109.8MiB allocated; 5ms collecting garbage

Pruning

61 alts after pruning (54 fresh and 7 done)

	Pruned	Kept	Total
New	824	25	849
Fresh	11	29	40
Picked	0	5	5
Done	2	2	4
Total	837	61	898

Accuracy

99.9%

Counts

898 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau (PI.f32))))
	95.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	70.0%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	81.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 (PI.f32)) (.f32 x x)) (*.f32 (PI.f32) tau)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) (PI.f32)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32))))
	70.0%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
✓	70.1%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	70.2%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
	70.5%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	62.5%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	4.4%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	4.4%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32))) (.f32 (PI.f32) (.f32 tau (PI.f32))))
✓	62.6%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	62.5%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	79.9%	(.f32 (fma.f32 (sin.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (.f32 (.f32 tau tau) tau) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (cos.f32 (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (.f32 (cos.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (.f32 (.f32 tau tau) tau) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (sin.f32 (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	70.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
✓	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	63.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) tau))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) (PI.f32))))
	63.3%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	70.3%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	81.6%	(.f32 (sin.f32 (fma.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 tau x)) (sqrt.f32 (PI.f32)) (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	81.6%	(.f32 (sin.f32 (fma.f32 (.f32 (neg.f32 x) tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
	80.9%	(.f32 (sin.f32 (fma.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	81.5%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	81.6%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	77.7%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
	59.4%	(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	77.7%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
	79.3%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (.f32 (*.f32 (PI.f32) x) x) tau) (neg.f32 (PI.f32)))))
	79.8%	(.f32 (sin.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (.f32 (.f32 tau tau) tau) (.f32 (PI.f32) (fma.f32 (.f32 tau x) (.f32 tau (.f32 x (PI.f32))) (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))))) (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (.f32 (PI.f32) (fma.f32 (.f32 tau x) (.f32 tau (.f32 x (PI.f32))) (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	76.6%	(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
✓	81.5%	(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	59.5%	(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	81.5%	(.f32 (sin.f32 (-.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	78.3%	(.f32 (sin.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
	78.0%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
	75.8%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
✓	97.4%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) (PI.f32))))
	97.0%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32))))
	70.2%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
	97.0%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) (PI.f32))))
	97.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) x)))
	96.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
	80.0%	(.f32 (sin.f32 #s(approx (- ( (PI) (* tau x)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (neg.f32 (PI.f32)) tau)) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	63.4%	(.f32 #s(approx (/ (sin ( (PI) (* tau x))) (* (PI) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
	63.4%	(.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (.f32 (neg.f32 (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
	59.4%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
	96.8%	#s(approx (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
	63.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
	63.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
	62.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
	52.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)))
	52.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
	51.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
	63.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
✓	63.5%	#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)))
	81.5%	#s(approx (* (sin (- (* (PI) (* tau x)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 tau) (PI.f32))) (/.f32 (sin.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32))) (.f32 (*.f32 (PI.f32) x) x))))
✓	62.7%	#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))

Compiler

Compiled 4 616 to 1 431 computations (69% saved)

regimes109.0ms (1.1%)

Memory

-16.5MiB live, 124.1MiB allocated; 13ms collecting garbage

Counts

105 → 1

Calls

Call 1

Inputs
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32))) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
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(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau (PI.f32))))
(.f32 (sin.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (.f32 (.f32 tau tau) tau) (.f32 (PI.f32) (fma.f32 (.f32 tau x) (.f32 tau (.f32 x (PI.f32))) (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))))) (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (.f32 (PI.f32) (fma.f32 (.f32 tau x) (.f32 tau (.f32 x (PI.f32))) (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (.f32 (cbrt.f32 (PI.f32)) tau))) (.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)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (PI.f32) (.f32 tau x))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) x) (cbrt.f32 (PI.f32)))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(.f32 (+.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (neg.f32 (PI.f32))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) x)) (cbrt.f32 (PI.f32)))
(.f32 (fma.f32 (sin.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (.f32 (.f32 tau tau) tau) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (cos.f32 (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (.f32 (cos.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (.f32 (.f32 tau tau) tau) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (sin.f32 (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 (PI.f32) (.f32 tau x)) (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))

Outputs

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

Calls

4 calls:

27.0ms	tau
25.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
24.0ms	x
24.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
97.9%	1	`(*.f32 x (PI.f32))`
97.9%	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))))`
97.9%	1	`x`
97.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes65.0ms (0.7%)

Memory

38.3MiB live, 83.6MiB allocated; 3ms collecting garbage

Counts

63 → 1

Calls

Call 1

Inputs
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32))) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
#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)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(.f32 #s(approx (/ (sin ( (PI) (* tau x))) (* (PI) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (.f32 (neg.f32 (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.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 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) x)))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) x))
(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (.f32 (*.f32 (PI.f32) x) x) tau) (neg.f32 (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (.f32 (neg.f32 x) tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (.f32 (.f32 (neg.f32 x) x) (.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 (PI.f32)) (.f32 x x)) (*.f32 (PI.f32) tau)))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) x) tau) (neg.f32 (PI.f32)))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 x) x) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32))))
(.f32 (sin.f32 (-.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))

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

Calls

4 calls:

17.0ms	(.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))))
15.0ms	(*.f32 x (PI.f32))
15.0ms	tau
15.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes52.0ms (0.5%)

Memory

-10.0MiB live, 43.9MiB allocated; 21ms collecting garbage

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32))) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
#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)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(.f32 #s(approx (/ (sin ( (PI) (* tau x))) (* (PI) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (.f32 (neg.f32 (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.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 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32)) x)))
(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32))))

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

Calls

4 calls:

23.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms	(*.f32 x (PI.f32))
9.0ms	x
9.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes38.0ms (0.4%)

Memory

-2.7MiB live, 42.3MiB allocated; 3ms collecting garbage

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32))) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
#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)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(.f32 #s(approx (/ (sin ( (PI) (* tau x))) (* (PI) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (.f32 (neg.f32 (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.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 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))

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

Calls

4 calls:

11.0ms	tau
9.0ms	x
9.0ms	(*.f32 x (PI.f32))
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
96.9%	1	`(*.f32 x (PI.f32))`
96.9%	1	`x`
96.9%	1	`tau`
96.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes38.0ms (0.4%)

Memory

-3.1MiB live, 41.6MiB allocated; 4ms collecting garbage

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32))) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
#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)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(.f32 #s(approx (/ (sin ( (PI) (* tau x))) (* (PI) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (.f32 (neg.f32 (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.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 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
#s(approx (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (* (PI) (* tau (PI)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))

Outputs

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

Calls

4 calls:

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))))
8.0ms	(*.f32 x (PI.f32))
8.0ms	x
8.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes36.0ms (0.4%)

Memory

-4.8MiB live, 40.0MiB allocated; 4ms collecting garbage

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32))) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
#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)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(.f32 #s(approx (/ (sin ( (PI) (* tau x))) (* (PI) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) x) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 tau (PI.f32)))))
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (.f32 (neg.f32 (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (PI.f32))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (*.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) x)))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.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 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))

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

Calls

4 calls:

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))))
8.0ms	(*.f32 x (PI.f32))
8.0ms	x
8.0ms	tau

Results

Accuracy	Segments	Branch
70.5%	1	`(*.f32 x (PI.f32))`
70.5%	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))))`
70.5%	1	`x`
70.5%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes19.0ms (0.2%)

Memory

36.3MiB live, 36.4MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
63.5%	1	`tau`
63.5%	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))))`
63.5%	1	`(*.f32 x (PI.f32))`
63.5%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes16.0ms (0.2%)

Memory

-33.4MiB live, 15.6MiB allocated; 9ms collecting garbage

Accuracy

Total -19.1b remaining (-159.8%)

Threshold costs -19.1b (-159.8%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) x) (* (neg tau) (PI))))) (/.f32 x x))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32))) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) x)) (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.7%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
62.7%	1	`(*.f32 x (PI.f32))`
62.7%	1	`x`
62.7%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify54.0ms (0.5%)

Memory

-6.8MiB live, 36.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	220
1	148	220
2	367	220
3	1183	218
4	3432	218
5	7207	218

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations519.0ms (5.3%)

Memory

28.8MiB live, 163.3MiB allocated; 20ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 227 to 67 computations (70.5% saved)

preprocess32.0ms (0.3%)

Memory

-0.3MiB live, 45.4MiB allocated; 5ms collecting garbage

Remove

(abs x)

(abs tau)

Compiler

Compiled 904 to 358 computations (60.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze29.0ms (0.3%)

sample3.0s (30.1%)

explain133.0ms (1.4%)

preprocess65.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize39.0ms (0.4%)

series43.0ms (0.4%)

simplify454.0ms (4.6%)

rewrite192.0ms (2%)

eval1.6s (16.2%)

prune35.0ms (0.4%)

simplify109.0ms (1.1%)

localize116.0ms (1.2%)

series57.0ms (0.6%)

simplify419.0ms (4.3%)

rewrite444.0ms (4.5%)

eval67.0ms (0.7%)

prune61.0ms (0.6%)

simplify54.0ms (0.6%)

localize132.0ms (1.3%)

series36.0ms (0.4%)

simplify376.0ms (3.8%)

rewrite110.0ms (1.1%)

eval26.0ms (0.3%)

prune38.0ms (0.4%)

simplify63.0ms (0.6%)

localize108.0ms (1.1%)

series46.0ms (0.5%)

simplify492.0ms (5%)

rewrite398.0ms (4%)

eval84.0ms (0.9%)

prune67.0ms (0.7%)

regimes109.0ms (1.1%)

regimes65.0ms (0.7%)

regimes52.0ms (0.5%)

regimes38.0ms (0.4%)

regimes38.0ms (0.4%)

regimes36.0ms (0.4%)

regimes19.0ms (0.2%)

regimes16.0ms (0.2%)

simplify54.0ms (0.5%)

derivations519.0ms (5.3%)

preprocess32.0ms (0.3%)

end0.0ms (0%)

Profiling