Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze34.0ms (0.4%)

Memory

-28.3MiB live, 15.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.5s (19.1%)

Memory

80.6MiB live, 1 886.8MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 894.0ms

ival-div: 169.0ms (18.9% of total)

ival-mult: 167.0ms (18.7% of total)

ival-sin: 118.0ms (13.2% of total)

const: 117.0ms (13.1% of total)

ival-sinu: 116.0ms (13% of total)

ival-<=: 112.0ms (12.5% of total)

ival-pi: 62.0ms (6.9% of total)

ival-and: 22.0ms (2.5% of total)

exact: 8.0ms (0.9% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain121.0ms (1.6%)

Memory

16.4MiB live, 250.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(PI.f32)`
-	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
-	-	`(.f32 (.f32 x (PI.f32)) tau)`
-	-	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
-	-	`(*.f32 x (PI.f32))`
-	-	`(sin.f32 (*.f32 x (PI.f32)))`
-	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
-	-	`tau`
-	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

47.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 9.0ms (27.4% of total)

ival-sinu: 8.0ms (24.4% of total)

ival-div: 7.0ms (21.3% of total)

ival-sin: 7.0ms (21.3% of total)

ival-pi: 2.0ms (6.1% of total)

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

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

preprocess132.0ms (1.7%)

Memory

0.4MiB live, 147.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	123
1	78	123
2	362	107
3	1859	107
4	4136	107
5	6121	107
6	7082	107
0	10	21
0	18	21
1	31	21
2	88	21
3	295	21
4	692	21
5	1137	21
6	1748	21
7	3844	21
8	7458	21
9	7574	21
10	7771	21
0	8011	21

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify95.0ms (1.2%)

Memory

2.9MiB live, 98.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	62
0	18	62
1	31	62
2	88	62
3	295	62
4	692	62
5	1137	62
6	1748	62
7	3844	62
8	7458	62
9	7574	62
10	7771	62
0	8011	62

Stop Event

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

Calls

Call 1

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

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

localize30.0ms (0.4%)

Memory

1.9MiB live, 48.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.29982240327613996	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.32421875	(*.f32 x (PI.f32))
accuracy	0.3434562988422101	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.3607025390737681	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

23.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 4.0ms (24.1% of total)

ival-sinu: 4.0ms (24.1% of total)

ival-sin: 4.0ms (24.1% of total)

ival-div: 3.0ms (18.1% of total)

ival-pi: 2.0ms (12% of total)

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

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

series28.0ms (0.4%)

Memory

-13.5MiB live, 32.6MiB allocated

Counts

6 → 27

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
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 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)))))))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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
7.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (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	tau	@	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)))
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)))

simplify281.0ms (3.6%)

Memory

-10.1MiB live, 159.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	743
1	717	721
2	3469	697
0	8248	646

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

rewrite154.0ms (2%)

Memory

-0.3MiB live, 232.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	55
0	18	55
1	54	55
2	349	53
3	3602	53
0	9348	53

Stop Event

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

Counts

6 → 333

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)) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))) tau) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.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)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (cbrt.f32 (PI.f32)) tau)))
(.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 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (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 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (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 (/.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 (/.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 (/.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 (/.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 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) 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)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.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 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) 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 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.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 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) 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 (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 (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 (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))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(.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 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(.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 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau 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)))
(.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 tau (*.f32 (PI.f32) x))) (neg.f32 (sqrt.f32 (PI.f32)))))
(.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 tau (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (cbrt.f32 (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) tau))
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(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 x (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (neg.f32 x) (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (neg.f32 x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (neg.f32 x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (neg.f32 x) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(.f32 (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (neg.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) x) (log.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(.f32 (.f32 (cbrt.f32 (PI.f32)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (neg.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 x) (PI.f32))
(.f32 (neg.f32 (cbrt.f32 (PI.f32))) (.f32 (neg.f32 (cbrt.f32 (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) x))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 x)))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (neg.f32 x)))
(.f32 (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (neg.f32 x)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (neg.f32 (.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (neg.f32 x)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (PI.f32) (neg.f32 x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
(fma.f32 (neg.f32 x) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (neg.f32 x) (sinh.f32 (log.f32 (PI.f32)))))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (neg.f32 x) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (neg.f32 x)))
(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 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (/.f32 x #s(literal 2 binary32)))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (/.f32 x #s(literal 2 binary32)))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) x) (.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) (neg.f32 x)) (.f32 (sinh.f32 (log.f32 (PI.f32))) (neg.f32 x)))
(+.f32 (.f32 x (cosh.f32 (log.f32 (PI.f32)))) (.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (neg.f32 x) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (neg.f32 x) (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (*.f32 (PI.f32) x))

eval66.0ms (0.9%)

Memory: -16.5MiB live, 129.3MiB allocated
Compiler: Compiled 15 775 to 1 925 computations (87.8% saved)

prune44.0ms (0.6%)

Memory

-0.8MiB live, 92.7MiB allocated

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	556	36	592
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	557	36	593

Accuracy

99.8%

Counts

593 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) x))) (PI.f32))
	96.9%	(/.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))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.4%	(/.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))))
	97.9%	(/.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)))
	98.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x)))) (PI.f32))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
▶	98.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))
	97.5%	(.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)))
▶	97.6%	(.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))))
▶	97.4%	(.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))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)) tau)) (.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 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	95.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 x (PI.f32))))
	28.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	82.2%	(.f32 (/.f32 (sin.f32 (.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	97.5%	(.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)))
	97.9%	(.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)))
	64.5%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	24.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	29.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
	97.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
▶	63.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 824 to 1 006 computations (44.8% saved)

simplify117.0ms (1.5%)

Memory

36.7MiB live, 135.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) x))
cost-diff	4	(.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))))
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	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x)
cost-diff	0	(.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))))
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))))
cost-diff	0	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	325
0	56	321
1	126	321
2	346	321
3	1071	321
4	2582	321
5	3490	321
6	6216	321
7	6288	321
8	6362	321
9	6634	321
10	7502	321
0	8064	321

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (1.8%)

Memory

-34.7MiB live, 157.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.34765625	(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))
accuracy	0.3607025390737681	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.37109375	(*.f32 (sqrt.f32 (PI.f32)) x)
accuracy	0.4316788086106521	(.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))))
accuracy	0.32421875	(*.f32 (PI.f32) x)
accuracy	0.33203125	(*.f32 tau (PI.f32))
accuracy	0.3434562988422101	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
accuracy	0.410820019536884	(.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))))
accuracy	0.32421875	(*.f32 (PI.f32) x)
accuracy	0.3359375	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
accuracy	0.42416000976844204	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
accuracy	0.44369125976844204	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
accuracy	11.609423914687849	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.29982240327613996	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.32421875	(*.f32 (PI.f32) x)
accuracy	0.3607025390737681	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.3639450195368841	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))

Samples

97.0ms

256×

valid

Compiler

Compiled 325 to 33 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 54.0ms (66.4% of total)

ival-div: 14.0ms (17.2% of total)

ival-sin: 6.0ms (7.4% of total)

ival-sinu: 4.0ms (4.9% of total)

ival-sqrt: 2.0ms (2.5% of total)

ival-pi: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.6%)

Memory

21.9MiB live, 66.8MiB allocated

Counts

18 → 70

Calls

Call 1

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

Outputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
(/ 1 (* tau x))
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)
(/ 1 x)
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)
(/ (+ 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))))))) x)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 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)))))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* -1/6 (* (* (pow tau 2) (pow x 2)) (sqrt (pow (PI) 3))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 4) (pow x 2)) (sqrt (pow (PI) 7))))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 3)))) (* (pow x 2) (+ (* -1/5040 (* (* (pow tau 6) (pow x 2)) (sqrt (pow (PI) 11)))) (* 1/120 (* (pow tau 4) (sqrt (pow (PI) 7))))))))) x)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(* tau x)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(* x (sqrt (PI)))
(* x (+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5))))))
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9))))))))
(* x (+ (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)))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(sin (* x (PI)))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* (/ (sin (* tau (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (PI))
(* (sqrt (/ 1 (PI))) (sin (* x (PI))))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(+ (* -1/6 (* (* (pow tau 2) x) (sqrt (pow (PI) 3)))) (* (/ 1 x) (sqrt (/ 1 (PI)))))
(+ (* (/ 1 x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* x (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 2) (pow x 3)) (sqrt (pow (PI) 7)))))))
(+ (* (/ 1 x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* x (sqrt (pow (PI) 3)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (pow x 5)) (sqrt (pow (PI) 11)))) (* 1/120 (* (pow x 3) (sqrt (pow (PI) 7)))))))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(* tau (PI))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	tau	@	-inf	((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) (* tau (PI)))) (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* (PI) x)) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (sqrt (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (* tau (PI)) (* (sqrt (PI)) x) (/ (sin (* (PI) x)) (sqrt (PI))))
8.0ms	tau	@	inf	((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) (* tau (PI)))) (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* (PI) x)) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (sqrt (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (* tau (PI)) (* (sqrt (PI)) x) (/ (sin (* (PI) x)) (sqrt (PI))))
7.0ms	x	@	-inf	((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) (* tau (PI)))) (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* (PI) x)) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (sqrt (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (* tau (PI)) (* (sqrt (PI)) x) (/ (sin (* (PI) x)) (sqrt (PI))))
6.0ms	x	@	inf	((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) (* tau (PI)))) (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* (PI) x)) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (sqrt (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (* tau (PI)) (* (sqrt (PI)) x) (/ (sin (* (PI) x)) (sqrt (PI))))
5.0ms	x	@	0	((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) (* tau (PI)))) (/ (/ (sin (* (PI) x)) (* (PI) x)) x) (/ (sin (* (PI) x)) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (sqrt (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (* tau (PI)) (* (sqrt (PI)) x) (/ (sin (* (PI) x)) (sqrt (PI))))

simplify170.0ms (2.2%)

Memory

11.8MiB live, 194.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	1840
1	1628	1782
2	7610	1778
0	8059	1657

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 70

Calls

Call 1

Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
(/ 1 (* tau x))
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)
(/ 1 x)
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)
(/ (+ 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))))))) x)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 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)))))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* -1/6 (* (* (pow tau 2) (pow x 2)) (sqrt (pow (PI) 3))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 4) (pow x 2)) (sqrt (pow (PI) 7))))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 3)))) (* (pow x 2) (+ (* -1/5040 (* (* (pow tau 6) (pow x 2)) (sqrt (pow (PI) 11)))) (* 1/120 (* (pow tau 4) (sqrt (pow (PI) 7))))))))) x)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(* tau x)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(* x (sqrt (PI)))
(* x (+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5))))))
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9))))))))
(* x (+ (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)))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(sin (* x (PI)))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* (/ (sin (* tau (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (PI))
(* (sqrt (/ 1 (PI))) (sin (* x (PI))))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(+ (* -1/6 (* (* (pow tau 2) x) (sqrt (pow (PI) 3)))) (* (/ 1 x) (sqrt (/ 1 (PI)))))
(+ (* (/ 1 x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* x (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 2) (pow x 3)) (sqrt (pow (PI) 7)))))))
(+ (* (/ 1 x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* x (sqrt (pow (PI) 3)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (pow x 5)) (sqrt (pow (PI) 11)))) (* 1/120 (* (pow x 3) (sqrt (pow (PI) 7)))))))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(* tau (PI))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 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))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 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))))))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 tau tau) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 (.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 (.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 tau tau) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32))))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))) (*.f32 (PI.f32) x))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32) (.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)) x) x (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 (PI.f32) x))
(* 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))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 (PI.f32) x))
(/ 1 (* tau x))
(/.f32 (/.f32 #s(literal 1 binary32) x) tau)
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)
(/.f32 (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) tau) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)
(/.f32 (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) x) x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) tau) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)
(/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau)) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)
(/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)
(/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) x) x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) x)
(/ (+ 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))))))) x)
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(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
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(+ 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)))))))
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(* (/ 1 x) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(/ (+ (sqrt (/ 1 (PI))) (* -1/6 (* (* (pow tau 2) (pow x 2)) (sqrt (pow (PI) 3))))) x)
(/.f32 (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 tau tau)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 4) (pow x 2)) (sqrt (pow (PI) 7))))))) x)
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(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 3)))) (* (pow x 2) (+ (* -1/5040 (* (* (pow tau 6) (pow x 2)) (sqrt (pow (PI) 11)))) (* 1/120 (* (pow tau 4) (sqrt (pow (PI) 7))))))))) x)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 tau #s(literal 6 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 11 binary32))) (.f32 (.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 x x) (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (.f32 x x) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) x)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
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(+ 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))))))))
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(* tau (* x (PI)))
(.f32 (.f32 tau x) (PI.f32))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
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(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
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(* 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)))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 (.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 (pow.f32 tau #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) x) x))) (.f32 x x) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 (.f32 tau x) (PI.f32)))
(* tau x)
(*.f32 tau x)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(.f32 (fma.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) x)
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (.f32 (.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) x) x))) (*.f32 tau x))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (pow.f32 tau #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) x))) (.f32 x x))) (.f32 tau x))
(* x (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) x)
(* x (+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5))))))
(.f32 (fma.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) (sqrt.f32 (PI.f32))) x)
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9))))))))
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(* x (+ (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)))))))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 x x) (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(* (/ (sin (* tau (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
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(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
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(sin (* tau (* x (PI))))
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(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (PI.f32))
(* (sqrt (/ 1 (PI))) (sin (* x (PI))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
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(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
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(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 x x)) (sin.f32 (.f32 (PI.f32) x)))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 4 binary32))))) (.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x)))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 6 binary32))) (.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau))) (.f32 tau tau) (sin.f32 (.f32 (PI.f32) x)))
(+ (* -1/6 (* (* (pow tau 2) x) (sqrt (pow (PI) 3)))) (* (/ 1 x) (sqrt (/ 1 (PI)))))
(fma.f32 (.f32 (.f32 tau tau) (*.f32 #s(literal -1/6 binary32) x)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) x))
(+ (* (/ 1 x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* x (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 2) (pow x 3)) (sqrt (pow (PI) 7)))))))
(fma.f32 (fma.f32 (.f32 (.f32 tau tau) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/120 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) x) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (.f32 tau tau) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) x))
(+ (* (/ 1 x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* x (sqrt (pow (PI) 3)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (pow x 5)) (sqrt (pow (PI) 11)))) (* 1/120 (* (pow x 3) (sqrt (pow (PI) 7)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 x #s(literal 5 binary32))) (.f32 tau tau)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 11 binary32))) (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/120 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) x) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau tau) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) x))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(fma.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 tau tau) #s(literal 1 binary32))
(+ 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))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 (fma.f32 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32)) tau) tau (*.f32 (PI.f32) x)) tau)
(* 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))))))))
(fma.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) tau) tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 3 binary32)) (.f32 (*.f32 tau x) (PI.f32)))
(* 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)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 (.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 tau tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 3 binary32)) (.f32 (.f32 tau x) (PI.f32)))
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) x) tau)
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (.f32 (.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) tau))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 tau x))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 tau tau))) (pow.f32 tau #s(literal 3 binary32)) (.f32 tau x))
(* tau (PI))
(*.f32 (PI.f32) tau)

rewrite211.0ms (2.7%)

Memory

-14.3MiB live, 272.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	222
0	56	218
1	186	218
2	1013	207
3	6917	207
0	8202	207

Stop Event

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

Counts

18 → 1 608

Calls

Call 1

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

Outputs
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (neg.f32 (cbrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (.f32 (.f32 tau x) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (neg.f32 tau)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 (*.f32 x (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (.f32 (.f32 (neg.f32 tau) x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (neg.f32 tau)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 tau)))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) tau) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (.f32 (neg.f32 tau) x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (neg.f32 tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (neg.f32 x)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 x (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (neg.f32 tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (neg.f32 tau) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (.f32 x x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) 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)) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (cbrt.f32 (PI.f32)) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (cbrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) 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)) tau)))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (.f32 x (pow.f32 (PI.f32) #s(literal 3/2 binary32)))) (cbrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (.f32 x (pow.f32 (PI.f32) #s(literal 3/2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 x) (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 tau)) (.f32 x (pow.f32 (PI.f32) #s(literal 3/2 binary32)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 x (PI.f32)) x) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) 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 x (PI.f32))) tau) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (neg.f32 tau)) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) tau) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) (*.f32 x x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (*.f32 x x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (cbrt.f32 (PI.f32)) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 tau)) (*.f32 x (pow.f32 (PI.f32) #s(literal 3/2 binary32)))))
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(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 3/2 binary32))) x))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (.f32 x x)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (neg.f32 x) (sqrt.f32 (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (.f32 (.f32 tau x) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (neg.f32 x)))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) x))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (.f32 x (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x)))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (PI.f32)) x))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 tau) x) (PI.f32)) (.f32 (neg.f32 x) (sqrt.f32 (PI.f32)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (.f32 (.f32 (*.f32 tau x) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (neg.f32 x))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 3/2 binary32))) x) tau))
(neg.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 tau)) (*.f32 x (pow.f32 (PI.f32) #s(literal 3/2 binary32)))) x))
(neg.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (neg.f32 x)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (neg.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 3/2 binary32))))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (*.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) tau)) (.f32 (cbrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) (.f32 (sqrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 tau (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))) (neg.f32 tau))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 tau)) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (neg.f32 (neg.f32 tau)))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (*.f32 (neg.f32 tau) x) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) x)
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (*.f32 tau x))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 tau (*.f32 x (PI.f32)))))
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))))
(sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))
(sin.f32 (fma.f32 (neg.f32 tau) (*.f32 x (PI.f32)) (PI.f32)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(cos.f32 (+.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32)))
(cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (fma.f32 (*.f32 (neg.f32 tau) x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))) (neg.f32 (PI.f32)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) tau))
(.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) tau) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) tau) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) tau)) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (neg.f32 (neg.f32 tau)) (PI.f32))
(.f32 (.f32 (cbrt.f32 (PI.f32)) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) tau) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 tau) (neg.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (sqrt.f32 (PI.f32)))
(.f32 (neg.f32 (cbrt.f32 (PI.f32))) (.f32 (neg.f32 (cbrt.f32 (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) tau)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) tau)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 tau))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (.f32 (sqrt.f32 (PI.f32)) tau)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) tau))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) tau)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (PI.f32)) tau)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) tau))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) tau))
(*.f32 tau (PI.f32))
(*.f32 (PI.f32) (neg.f32 (neg.f32 tau)))
(*.f32 (PI.f32) tau)
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) tau (*.f32 (sinh.f32 (log.f32 (PI.f32))) tau))
(fma.f32 tau (cosh.f32 (log.f32 (PI.f32))) (*.f32 tau (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) tau) (.f32 (sinh.f32 (log.f32 (PI.f32))) tau))
(+.f32 (.f32 tau (cosh.f32 (log.f32 (PI.f32)))) (.f32 tau (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (*.f32 (neg.f32 tau) (PI.f32)))
(.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) x) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) x))
(*.f32 (neg.f32 x) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 x))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) x))
(*.f32 (sqrt.f32 (PI.f32)) x)
(*.f32 x (sqrt.f32 (PI.f32)))
(neg.f32 (*.f32 (neg.f32 x) (sqrt.f32 (PI.f32))))
(/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sqrt.f32 (PI.f32))))

eval116.0ms (1.5%)

Memory: 31.2MiB live, 215.3MiB allocated
Compiler: Compiled 29 865 to 2 941 computations (90.2% saved)

prune79.0ms (1%)

Memory

6.8MiB live, 98.1MiB allocated

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	1 062	24	1 086
Fresh	19	12	31
Picked	4	1	5
Done	0	0	0
Total	1 085	37	1 122

Accuracy

99.9%

Counts

1 122 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x) (.f32 (PI.f32) x))
▶	98.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
▶	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x))) (sqrt.f32 (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) x) (*.f32 tau (PI.f32))))
	96.1%	(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x)))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	96.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))) (.f32 (PI.f32) x))
	95.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x)))))) (*.f32 (PI.f32) x))
	97.9%	(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))) (*.f32 (PI.f32) x))
	95.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))))) (.f32 tau (PI.f32))))
	96.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32))))) (*.f32 tau (PI.f32))))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) x) x))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)))) (.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 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))))
	28.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	64.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
	97.9%	(.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)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
	97.5%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (*.f32 x (PI.f32))) x)) (PI.f32)))
	97.1%	(.f32 #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x x) (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
	70.6%	(.f32 #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
	64.2%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
▶	97.1%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
	24.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	26.8%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)) tau) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	70.6%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
▶	97.1%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	97.3%	#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 x x))))
✓	63.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 017 to 1 180 computations (41.5% saved)

simplify113.0ms (1.5%)

Memory

-12.8MiB live, 82.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) x)))
cost-diff	0	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) x))))
cost-diff	0	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
cost-diff	0	(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))
cost-diff	0	#s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau)))
cost-diff	0	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
cost-diff	0	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
cost-diff	0	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
cost-diff	0	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
cost-diff	0	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	505
0	103	505
1	210	505
2	512	505
3	1744	505
4	4713	505
5	7426	505
6	7511	505
7	7676	505
0	8011	505

Stop Event

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

Calls

Call 1

Inputs
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(.f32 tau (.f32 x (PI.f32)))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(.f32 (.f32 tau (*.f32 (PI.f32) x)) x)
(.f32 tau (.f32 (PI.f32) x))
tau
#s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x))
(*.f32 tau x)
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
#s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(.f32 (.f32 (*.f32 x x) (PI.f32)) tau)
(.f32 (.f32 x x) (PI.f32))
(*.f32 x x)
tau
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 tau (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(.f32 tau (.f32 x (PI.f32)))
tau
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)
(.f32 (.f32 (PI.f32) (PI.f32)) tau)
(*.f32 (PI.f32) (PI.f32))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) x))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) x)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 (PI.f32) #s(literal 3 binary32))
(PI.f32)
#s(literal 3 binary32)
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(.f32 (.f32 tau x) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(sqrt.f32 (PI.f32))

Outputs
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 tau (.f32 x (PI.f32)))
(.f32 (.f32 (PI.f32) x) tau)
tau
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
(.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (.f32 x x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(.f32 (.f32 tau (*.f32 (PI.f32) x)) x)
(.f32 (.f32 (*.f32 (PI.f32) x) tau) x)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) x) tau)
tau
#s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x))
#s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 x tau))
(*.f32 tau x)
(*.f32 x tau)
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) x))))
#s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau)))
#s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(.f32 (.f32 (*.f32 x x) (PI.f32)) tau)
(.f32 (.f32 (*.f32 (PI.f32) x) tau) x)
(.f32 (.f32 x x) (PI.f32))
(*.f32 x x)
tau
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) x) tau)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 tau (.f32 x (PI.f32)))
(.f32 (.f32 (PI.f32) x) tau)
tau
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)
(.f32 (.f32 (PI.f32) (PI.f32)) tau)
(*.f32 (PI.f32) (PI.f32))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (.f32 x x) tau)) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))))
#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) x))))
#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (.f32 x x) tau)) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) x)))
(.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (.f32 x x) tau)) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 (PI.f32) #s(literal 3 binary32))
(PI.f32)
#s(literal 3 binary32)
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x x) tau))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 (.f32 tau x) (PI.f32))
(.f32 (.f32 (PI.f32) x) tau)
(*.f32 tau x)
(*.f32 x tau)
tau
x
(.f32 (.f32 tau x) x)
(.f32 (.f32 x x) tau)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(sqrt.f32 (PI.f32))

localize159.0ms (2%)

Memory

4.0MiB live, 138.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34765625	(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))
accuracy	0.39453125	(.f32 (.f32 tau x) (PI.f32))
accuracy	0.4316788086106521	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
accuracy	1.0	(pow.f32 (PI.f32) #s(literal 3 binary32))
accuracy	0.3248825195368841	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
accuracy	0.359375	(.f32 (.f32 (PI.f32) (PI.f32)) tau)
accuracy	0.4176750488422101	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	0.3359375	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))
accuracy	0.375	(.f32 (.f32 x x) (PI.f32))
accuracy	0.42416000976844204	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
accuracy	0.44369125976844204	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
accuracy	0.32421875	(*.f32 (PI.f32) x)
accuracy	0.3359375	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
accuracy	0.44369125976844204	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
accuracy	11.040177587375398	#s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x))
accuracy	0.32421875	(*.f32 (PI.f32) x)
accuracy	0.32421875	(*.f32 x (PI.f32))
accuracy	0.34898378907376804	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
accuracy	0.3639450195368841	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))

Samples

120.0ms

256×

valid

Compiler

Compiled 433 to 46 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 27.0ms (42.3% of total)

ival-div: 16.0ms (25.1% of total)

ival-sin: 7.0ms (11% of total)

ival-sinu: 7.0ms (11% of total)

ival-sqrt: 3.0ms (4.7% of total)

ival-pow: 2.0ms (3.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory

-0.6MiB live, 53.2MiB allocated

Counts

28 → 80

Calls

Call 1

Inputs
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
#s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 x (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) x))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) x)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 x (PI.f32))
#s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
(.f32 (.f32 x x) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (.f32 (PI.f32) (PI.f32)) tau)
(pow.f32 (PI.f32) #s(literal 3 binary32))
(.f32 (.f32 tau x) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))

Outputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* 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) (+ (* 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))))))))))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(/ 1 (* tau x))
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
(* tau (* x (pow (PI) 2)))
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* 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)))))))))))
(* 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))))))))))))))))
(PI)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))
(+ (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)))))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* -1/6 (* (* (pow tau 2) (pow x 2)) (sqrt (pow (PI) 3))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 4) (pow x 2)) (sqrt (pow (PI) 7))))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 3)))) (* (pow x 2) (+ (* -1/5040 (* (* (pow tau 6) (pow x 2)) (sqrt (pow (PI) 11)))) (* 1/120 (* (pow tau 4) (sqrt (pow (PI) 7))))))))) x)
(* tau x)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(* (pow x 2) (PI))
(* x (sqrt (PI)))
(* x (+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5))))))
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9))))))))
(* x (+ (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)))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))
(sin (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* x (PI))) x)
(* (/ (sin (* tau (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(/ (sin (* tau (* x (PI)))) (PI))
(* (sqrt (/ 1 (PI))) (sin (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
(* tau (* (PI) (sin (* x (PI)))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(* 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)))))))))))
(* 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))))))))))))
(+ (* -1/6 (* (* (pow tau 2) x) (sqrt (pow (PI) 3)))) (* (/ 1 x) (sqrt (/ 1 (PI)))))
(+ (* (/ 1 x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* x (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 2) (pow x 3)) (sqrt (pow (PI) 7)))))))
(+ (* (/ 1 x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* x (sqrt (pow (PI) 3)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (pow x 5)) (sqrt (pow (PI) 11)))) (* 1/120 (* (pow x 3) (sqrt (pow (PI) 7)))))))))
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(* tau (pow (PI) 2))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	((/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* (PI) x)) (* (* (* x x) (PI)) tau)) (/ (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (* (* (* (PI) (PI)) tau) x)) (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (sqrt (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (* (sqrt (/ 1 (pow (PI) 3))) (/ (sin (* (* tau x) (PI))) (* (* tau x) x))) (sqrt (/ 1 (pow (PI) 3))) (* x (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (* (* x x) (PI)) (* (PI) (PI)) (* (* (PI) (PI)) tau) (pow (PI) 3) (* (* tau x) (PI)) (/ (sin (* (PI) x)) (sqrt (PI))))
5.0ms	tau	@	-inf	((/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* (PI) x)) (* (* (* x x) (PI)) tau)) (/ (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (* (* (* (PI) (PI)) tau) x)) (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (sqrt (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (* (sqrt (/ 1 (pow (PI) 3))) (/ (sin (* (* tau x) (PI))) (* (* tau x) x))) (sqrt (/ 1 (pow (PI) 3))) (* x (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (* (* x x) (PI)) (* (PI) (PI)) (* (* (PI) (PI)) tau) (pow (PI) 3) (* (* tau x) (PI)) (/ (sin (* (PI) x)) (sqrt (PI))))
5.0ms	tau	@	inf	((/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* (PI) x)) (* (* (* x x) (PI)) tau)) (/ (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (* (* (* (PI) (PI)) tau) x)) (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (sqrt (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (* (sqrt (/ 1 (pow (PI) 3))) (/ (sin (* (* tau x) (PI))) (* (* tau x) x))) (sqrt (/ 1 (pow (PI) 3))) (* x (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (* (* x x) (PI)) (* (PI) (PI)) (* (* (PI) (PI)) tau) (pow (PI) 3) (* (* tau x) (PI)) (/ (sin (* (PI) x)) (sqrt (PI))))
4.0ms	x	@	inf	((/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* (PI) x)) (* (* (* x x) (PI)) tau)) (/ (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (* (* (* (PI) (PI)) tau) x)) (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (sqrt (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (* (sqrt (/ 1 (pow (PI) 3))) (/ (sin (* (* tau x) (PI))) (* (* tau x) x))) (sqrt (/ 1 (pow (PI) 3))) (* x (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (* (* x x) (PI)) (* (PI) (PI)) (* (* (PI) (PI)) tau) (pow (PI) 3) (* (* tau x) (PI)) (/ (sin (* (PI) x)) (sqrt (PI))))
4.0ms	tau	@	0	((/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* (PI) x)) (* (* (* x x) (PI)) tau)) (/ (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (* (* (* (PI) (PI)) tau) x)) (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (sqrt (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (* (sqrt (/ 1 (pow (PI) 3))) (/ (sin (* (* tau x) (PI))) (* (* tau x) x))) (sqrt (/ 1 (pow (PI) 3))) (* x (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (* (* x x) (PI)) (* (PI) (PI)) (* (* (PI) (PI)) tau) (pow (PI) 3) (* (* tau x) (PI)) (/ (sin (* (PI) x)) (sqrt (PI))))

simplify292.0ms (3.8%)

Memory

-12.4MiB live, 217.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	2311
1	1852	2199
2	7167	2197
0	9139	2058

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 80

Calls

Call 1

Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* 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) (+ (* 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))))))))))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(/ 1 (* tau x))
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
(* tau (* x (pow (PI) 2)))
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* 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)))))))))))
(* 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))))))))))))))))
(PI)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))
(+ (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)))))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* -1/6 (* (* (pow tau 2) (pow x 2)) (sqrt (pow (PI) 3))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 4) (pow x 2)) (sqrt (pow (PI) 7))))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 3)))) (* (pow x 2) (+ (* -1/5040 (* (* (pow tau 6) (pow x 2)) (sqrt (pow (PI) 11)))) (* 1/120 (* (pow tau 4) (sqrt (pow (PI) 7))))))))) x)
(* tau x)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(* (pow x 2) (PI))
(* x (sqrt (PI)))
(* x (+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5))))))
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9))))))))
(* x (+ (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)))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))
(sin (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* x (PI))) x)
(* (/ (sin (* tau (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(/ (sin (* tau (* x (PI)))) (PI))
(* (sqrt (/ 1 (PI))) (sin (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
(* tau (* (PI) (sin (* x (PI)))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(* 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)))))))))))
(* 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))))))))))))
(+ (* -1/6 (* (* (pow tau 2) x) (sqrt (pow (PI) 3)))) (* (/ 1 x) (sqrt (/ 1 (PI)))))
(+ (* (/ 1 x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* x (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 2) (pow x 3)) (sqrt (pow (PI) 7)))))))
(+ (* (/ 1 x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* x (sqrt (pow (PI) 3)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (pow x 5)) (sqrt (pow (PI) 11)))) (* 1/120 (* (pow x 3) (sqrt (pow (PI) 7)))))))))
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(* tau (pow (PI) 2))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
(+ 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))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(+ 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))))))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 tau tau) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 tau tau) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32))))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 x (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))))) (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 3 binary32)) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32)))) (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))))) (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(.f32 (fma.f32 (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 x x) (*.f32 (PI.f32) tau)) x)
(* 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))))))))
(fma.f32 (.f32 x tau) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 x x)) (.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 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)))))))))
(fma.f32 (.f32 x tau) (PI.f32) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 x x)))) (.f32 x x) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 binary32))))
(/ 1 (* tau x))
(/.f32 (/.f32 #s(literal 1 binary32) x) tau)
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)
(/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)) (.f32 x tau))
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)
(/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)
(/.f32 (+.f32 (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)) tau) (.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 x x)) #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) tau) (pow.f32 x #s(literal 4 binary32)))) x)
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 binary32)) (.f32 (PI.f32) x))
(* 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))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 binary32)) (.f32 (PI.f32) x))
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)
(* 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)))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))))) (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)
(* 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))))))))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 3 binary32)) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32)))) (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))))) (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)
(PI)
(PI.f32)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32))
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32))
(+ (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)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(/ (+ (sqrt (/ 1 (PI))) (* -1/6 (* (* (pow tau 2) (pow x 2)) (sqrt (pow (PI) 3))))) x)
(/.f32 (fma.f32 (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (.f32 x tau) (.f32 x tau))) #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 4) (pow x 2)) (sqrt (pow (PI) 7))))))) x)
(/.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 (pow.f32 tau #s(literal 4 binary32)) (.f32 x x))) #s(literal 1/120 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 x x) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 3)))) (* (pow x 2) (+ (* -1/5040 (* (* (pow tau 6) (pow x 2)) (sqrt (pow (PI) 11)))) (* 1/120 (* (pow tau 4) (sqrt (pow (PI) 7))))))))) x)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 11 binary32))) (.f32 (pow.f32 tau #s(literal 6 binary32)) (.f32 x x))) #s(literal -1/5040 binary32) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 x x) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (.f32 x x) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) x)
(* tau x)
(*.f32 x tau)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(.f32 (fma.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 x x)) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) x)
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (PI.f32) (PI.f32)))) (pow.f32 x #s(literal 3 binary32)) (*.f32 x tau))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 x x)))) (.f32 x x))) (pow.f32 x #s(literal 3 binary32)) (.f32 x tau))
(* (pow x 2) (PI))
(.f32 (.f32 x x) (PI.f32))
(* x (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) x)
(* x (+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 x x)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) (sqrt.f32 (PI.f32))) x)
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 9 binary32))) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal -1/6 binary32))) (*.f32 x x) (sqrt.f32 (PI.f32))) x)
(* x (+ (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)))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 13 binary32))) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 9 binary32))) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal -1/6 binary32))) (*.f32 x x) (sqrt.f32 (PI.f32))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(* (/ (sin (* tau (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (*.f32 x x) tau)))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32))
(* (sqrt (/ 1 (PI))) (sin (* x (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (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))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(+ (* (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))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 x #s(literal 5 binary32))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (sin.f32 (.f32 (PI.f32) x)))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (pow.f32 x #s(literal 4 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))))) (.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x)))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (pow.f32 x #s(literal 6 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 tau tau))) (.f32 tau tau) (sin.f32 (.f32 (PI.f32) x)))
(* tau (* x (* (PI) (sin (* x (PI))))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) tau)
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) tau)
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 x #s(literal 5 binary32))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) tau)
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (pow.f32 x #s(literal 7 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (pow.f32 tau #s(literal 4 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))) tau)
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau)
(* 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))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 3 binary32)) (.f32 (*.f32 (PI.f32) x) tau))
(* 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)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 tau tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 3 binary32)) (.f32 (.f32 (PI.f32) x) tau))
(* tau (* (PI) (sin (* x (PI)))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x x)) (.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau)
(* 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)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (pow.f32 tau #s(literal 3 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(* 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))))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (pow.f32 x #s(literal 6 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 tau tau))) (pow.f32 tau #s(literal 3 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(+ (* -1/6 (* (* (pow tau 2) x) (sqrt (pow (PI) 3)))) (* (/ 1 x) (sqrt (/ 1 (PI)))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (*.f32 tau tau) x)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) x))
(+ (* (/ 1 x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* x (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 2) (pow x 3)) (sqrt (pow (PI) 7)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (.f32 tau tau) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)))))) (.f32 tau tau) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) x))
(+ (* (/ 1 x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* x (sqrt (pow (PI) 3)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (pow x 5)) (sqrt (pow (PI) 11)))) (* 1/120 (* (pow x 3) (sqrt (pow (PI) 7)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 tau tau)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 11 binary32)))) #s(literal -1/5040 binary32) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) x) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 tau tau) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) x))
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) (PI.f32))) x) tau)
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 (PI.f32) (PI.f32)))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 x tau))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 tau tau))) (pow.f32 tau #s(literal 3 binary32)) (.f32 x tau))
(* tau (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) tau)

rewrite254.0ms (3.3%)

Memory

18.5MiB live, 164.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	372
0	103	364
1	283	360
2	1221	354
0	8346	354

Stop Event

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

Counts

28 → 1 181

Calls

Call 1

Inputs
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
#s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 x (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) x))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) x)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 x (PI.f32))
#s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
(.f32 (.f32 x x) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (.f32 (PI.f32) (PI.f32)) tau)
(pow.f32 (PI.f32) #s(literal 3 binary32))
(.f32 (.f32 tau x) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) x) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 x tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) x) tau) x)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x)) (PI.f32))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) tau)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) (PI.f32))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) (.f32 x tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) tau)
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32))) tau)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) tau)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 x tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) x) tau) x))) (cbrt.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) x) tau) x))) (sqrt.f32 (PI.f32)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) x))) (neg.f32 (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) x) tau) x))) (PI.f32))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 x tau))) (.f32 (PI.f32) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau))) (.f32 (PI.f32) (PI.f32)))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) tau) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x)) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x)) (.f32 (PI.f32) tau))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32))) (*.f32 (neg.f32 x) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32))) (.f32 x tau))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (PI.f32))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau))) (PI.f32))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (PI.f32))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x x))) (.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (neg.f32 tau))) (neg.f32 x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (*.f32 x x) (PI.f32)))) (neg.f32 tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x x) (PI.f32)))) tau)
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(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)) (PI.f32)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) (PI.f32)) (PI.f32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (PI.f32) #s(literal 5/2 binary32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (neg.f32 (PI.f32)) (PI.f32))))
(.f32 (cbrt.f32 (PI.f32)) (pow.f32 (.f32 (cbrt.f32 (PI.f32)) (PI.f32)) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (PI.f32) (neg.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (neg.f32 (PI.f32))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) (PI.f32))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 (neg.f32 (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (neg.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 5/2 binary32)))
(.f32 (.f32 (PI.f32) (PI.f32)) (neg.f32 (PI.f32)))
(.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))
(.f32 (PI.f32) (pow.f32 (.f32 (cbrt.f32 (PI.f32)) (PI.f32)) #s(literal 3/2 binary32)))
(.f32 (PI.f32) (.f32 (neg.f32 (PI.f32)) (PI.f32)))
(.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)))
(/.f32 (-.f32 (.f32 (cosh.f32 (.f32 #s(literal -3 binary32) (log.f32 (PI.f32)))) (cosh.f32 (.f32 #s(literal -3 binary32) (log.f32 (PI.f32))))) (.f32 (sinh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32))) (sinh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32))))) (pow.f32 (PI.f32) #s(literal -3 binary32)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (.f32 #s(literal -3 binary32) (log.f32 (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (.f32 #s(literal -3 binary32) (log.f32 (PI.f32)))) (cosh.f32 (.f32 #s(literal -3 binary32) (log.f32 (PI.f32)))) (-.f32 (.f32 (sinh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32))) (sinh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)))) (.f32 (cosh.f32 (.f32 #s(literal -3 binary32) (log.f32 (PI.f32)))) (sinh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)))))))
(fma.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (cosh.f32 (log.f32 (PI.f32))) (.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)) (sinh.f32 (log.f32 (PI.f32)))))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) (PI.f32)) (.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) (PI.f32))))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 (PI.f32) (PI.f32)) (.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (cosh.f32 (log.f32 (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) (sinh.f32 (log.f32 (PI.f32)))))
(pow.f32 (exp.f32 #s(literal 3 binary32)) (log.f32 (PI.f32)))
(pow.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 9 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 6 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 3/2 binary32))
(pow.f32 (PI.f32) #s(literal 3 binary32))
(fabs.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 (PI.f32) (PI.f32))) (.f32 (sinh.f32 (log.f32 (PI.f32))) (.f32 (PI.f32) (PI.f32))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) (PI.f32))) (.f32 (sinh.f32 (log.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (neg.f32 (cosh.f32 (.f32 #s(literal -3 binary32) (log.f32 (PI.f32))))) (neg.f32 (sinh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)))))
(+.f32 (cosh.f32 (.f32 #s(literal -3 binary32) (log.f32 (PI.f32)))) (sinh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32))))
(exp.f32 (+.f32 (/.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 2 binary32)) (/.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 2 binary32))))
(exp.f32 (+.f32 (/.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 2 binary32)) (.f32 (log.f32 (PI.f32)) #s(literal 3/2 binary32))))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 3/2 binary32) (/.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 3/2 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 3/2 binary32))))
(exp.f32 (.f32 (/.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3/2 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)))
(neg.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) tau))
(.f32 (.f32 (.f32 x (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (.f32 x (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (.f32 (.f32 tau (sqrt.f32 (PI.f32))) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (.f32 (.f32 tau (sqrt.f32 (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(.f32 (.f32 (*.f32 x tau) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(.f32 (.f32 (*.f32 x tau) (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(.f32 (neg.f32 (.f32 (neg.f32 tau) (PI.f32))) x)
(.f32 (neg.f32 (.f32 (neg.f32 x) tau)) (PI.f32))
(.f32 (neg.f32 (neg.f32 tau)) (.f32 (PI.f32) x))
(.f32 (.f32 (*.f32 x tau) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 x (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 tau (sqrt.f32 (PI.f32))) x) (sqrt.f32 (PI.f32)))
(.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) tau))
(.f32 (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (.f32 tau (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (.f32 (neg.f32 tau) (PI.f32)) (neg.f32 x))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) x)))
(.f32 (neg.f32 tau) (.f32 (neg.f32 (PI.f32)) x))
(.f32 (.f32 (neg.f32 x) tau) (neg.f32 (PI.f32)))
(.f32 (neg.f32 (cbrt.f32 (PI.f32))) (.f32 (neg.f32 (cbrt.f32 (PI.f32))) (.f32 (.f32 (cbrt.f32 (PI.f32)) x) tau)))
(.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (*.f32 x tau)))
(.f32 (.f32 (PI.f32) tau) x)
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 x tau)))
(.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 tau))
(.f32 (neg.f32 (PI.f32)) (.f32 (neg.f32 x) tau))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) x) tau))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) x) tau)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) x)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 x tau)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (*.f32 (sqrt.f32 (PI.f32)) tau))
(.f32 (.f32 x tau) (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 x tau))
(.f32 x (.f32 (PI.f32) tau))
(.f32 tau (.f32 (PI.f32) x))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 x tau) (.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 x tau)))
(fma.f32 (.f32 x tau) (cosh.f32 (log.f32 (PI.f32))) (.f32 (*.f32 x tau) (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 x tau)) (.f32 (sinh.f32 (log.f32 (PI.f32))) (.f32 x tau)))
(+.f32 (.f32 (.f32 x tau) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 x tau) (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sqrt.f32 (PI.f32))))

eval146.0ms (1.9%)

Memory: 6.2MiB live, 228.7MiB allocated
Compiler: Compiled 44 086 to 4 852 computations (89% saved)

prune67.0ms (0.9%)

Memory

28.6MiB live, 175.4MiB allocated

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	1 189	28	1 217
Fresh	17	14	31
Picked	2	3	5
Done	0	1	1
Total	1 208	46	1 254

Accuracy

99.9%

Counts

1 254 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
	63.4%	(/.f32 (/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 x (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
	97.2%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) (PI.f32)))
▶	98.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	96.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x x) (PI.f32)))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (*.f32 (PI.f32) x) tau) x))
	94.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau) x))
✓	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
▶	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x))) (sqrt.f32 (PI.f32)))
	13.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 x (.f32 (.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)) x) tau)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (.f32 x x))))
	70.6%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
	63.5%	(/.f32 #s(approx (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x))
	97.9%	(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))) (*.f32 (PI.f32) x))
	96.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32))))) (*.f32 tau (PI.f32))))
	64.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	10.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	9.3%	(.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau 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 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)))
	95.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
	64.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 x tau)) x))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
	10.8%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	64.2%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (.f32 x tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) x)))
	97.1%	(.f32 #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x x) (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
	70.6%	(.f32 #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
	95.5%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -9/2 binary32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
	93.6%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal -3 binary32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
	96.7%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) (sqrt.f32 (PI.f32))))
	97.1%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
	23.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	63.7%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)) (.f32 x tau))) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	25.7%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)) tau) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	70.6%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
▶	63.5%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	95.7%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))))) (PI.f32)))
✓	97.1%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	64.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
▶	64.2%	(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (*.f32 x x))))
	64.5%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
▶	97.3%	#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 x x))))
✓	63.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 605 to 1 562 computations (40% saved)

simplify118.0ms (1.5%)

Memory

6.0MiB live, 142.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (PI.f32)) tau))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x)))
cost-diff	4	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x))) (sqrt.f32 (PI.f32)))
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) (PI.f32))))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 x x)))
cost-diff	0	#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 x x))))
cost-diff	0	#s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 x tau))
cost-diff	0	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (*.f32 x x)))
cost-diff	2	(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (*.f32 x x))))
cost-diff	0	(/.f32 #s(literal 1 binary32) x)
cost-diff	0	(/.f32 (/.f32 #s(literal 1 binary32) x) tau)
cost-diff	0	#s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) tau))
cost-diff	0	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
cost-diff	0	(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	477
0	98	473
1	214	473
2	617	471
3	2605	471
4	5607	471
5	5856	471
6	6386	471
7	7540	471
0	8064	471

Stop Event

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

Calls

Call 1

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

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

localize193.0ms (2.5%)

Memory

-3.3MiB live, 245.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.32421875	(*.f32 x (PI.f32))
accuracy	0.34375	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x))
accuracy	0.41796875	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x)))
accuracy	0.5078125	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x))) (sqrt.f32 (PI.f32)))
accuracy	0.359375	(.f32 tau (.f32 (PI.f32) (PI.f32)))
accuracy	0.39453125	(.f32 (.f32 tau x) (PI.f32))
accuracy	0.4459762695368841	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 x x)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	0.3326950195368841	(.f32 (.f32 (neg.f32 tau) (PI.f32)) (*.f32 x x))
accuracy	0.33431625976844204	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x)))
accuracy	0.36328125	(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (*.f32 x x)))
accuracy	11.040177587375398	#s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 x tau))
accuracy	0.3046875	(/.f32 (/.f32 #s(literal 1 binary32) x) tau)
accuracy	0.44369125976844204	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
accuracy	9.04380191234943	#s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) tau))
accuracy	11.040177587375398	#s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x))
accuracy	0.29982240327613996	(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
accuracy	0.32421875	(*.f32 (PI.f32) x)
accuracy	0.3607025390737681	(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau))
accuracy	0.3639450195368841	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))

Samples

155.0ms

256×

valid

Compiler

Compiled 421 to 50 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 67.0ms (58.4% of total)

ival-div: 19.0ms (16.6% of total)

ival-sin: 12.0ms (10.5% of total)

ival-sinu: 11.0ms (9.6% of total)

ival-sqrt: 2.0ms (1.7% of total)

ival-neg: 2.0ms (1.7% of total)

ival-pi: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series73.0ms (0.9%)

Memory

3.7MiB live, 95.2MiB allocated

Counts

28 → 100

Calls

Call 1

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

Outputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(/ 1 (* tau x))
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)
(/ 1 x)
(+ 1 (* (pow x 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)))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* (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)))))) (* -1 (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
-1
(- (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) 1)
(- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))) 1)
(- (* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/720 (* (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))))))) (* -1 (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) 1)
(* tau (* (pow x 2) (PI)))
(* (pow x 2) (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* (pow x 2) (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(* (pow x 2) (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(* tau x)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(/ x (* tau (PI)))
(* x (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))))
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))))
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
(sqrt (PI))
(+ (sqrt (PI)) (* (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (sqrt (/ 1 (pow (PI) 3)))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (* (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6)))))) (sqrt (/ 1 (pow (PI) 3)))))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (* (pow x 2) (+ (* (sqrt (/ 1 (pow (PI) 3))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 8))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 8))) (* -1/5040 (pow (PI) 8)))))) (sqrt (/ 1 (pow (PI) 3)))))))))
(* x (sqrt (PI)))
(* x (+ (sqrt (PI)) (* -1/6 (* (* (pow tau 2) (pow x 2)) (sqrt (pow (PI) 5))))))
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 5)))) (* 1/120 (* (* (pow tau 4) (pow x 2)) (sqrt (pow (PI) 9))))))))
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 5)))) (* (pow x 2) (+ (* -1/5040 (* (* (pow tau 6) (pow x 2)) (sqrt (pow (PI) 13)))) (* 1/120 (* (pow tau 4) (sqrt (pow (PI) 9))))))))))
(* -1 (* tau (* (pow x 2) (PI))))
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)
(/ (+ 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))))))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* x (PI))) (* tau (pow (PI) 2)))
(sin (* x (PI)))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (sin (* tau (* x (PI)))) tau) (sqrt (/ 1 (PI))))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
(- (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (* -1 (/ (sin (* x (PI))) (* x (PI)))))
(- (* (pow tau 2) (- (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))) (* -1 (/ (sin (* x (PI))) (* x (PI)))))
(- (* (pow tau 2) (- (* (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)))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))) (* -1 (/ (sin (* x (PI))) (* x (PI)))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* tau (* x (sin (* x (PI)))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI))))))) (* x (sin (* x (PI))))))
(* tau (+ (* x (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(* tau (+ (* x (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(+ (* -1/6 (* (* (pow tau 2) (* x (sin (* x (PI))))) (sqrt (pow (PI) 3)))) (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))))
(+ (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* x (sin (* x (PI)))) (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 2) (* (pow x 3) (sin (* x (PI))))) (sqrt (pow (PI) 7)))))))
(+ (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* x (sin (* x (PI)))) (sqrt (pow (PI) 3)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (* (pow x 5) (sin (* x (PI))))) (sqrt (pow (PI) 11)))) (* 1/120 (* (* (pow x 3) (sin (* x (PI)))) (sqrt (pow (PI) 7)))))))))
(+ (* -1/6 (* (* (pow tau 2) (pow x 3)) (sqrt (pow (PI) 5)))) (* x (sqrt (PI))))
(+ (* x (sqrt (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (sqrt (pow (PI) 5)))) (* 1/120 (* (* (pow tau 2) (pow x 5)) (sqrt (pow (PI) 9)))))))
(+ (* x (sqrt (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (sqrt (pow (PI) 5)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (pow x 7)) (sqrt (pow (PI) 13)))) (* 1/120 (* (pow x 5) (sqrt (pow (PI) 9)))))))))
(* tau (pow (PI) 2))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	tau	@	-inf	((/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (/ 1 x) tau) (/ 1 x) (neg (/ (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (* (* (neg tau) (PI)) (* x x)))) (/ (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (* (* (neg tau) (PI)) (* x x))) (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* tau x) (PI))) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (/ (* (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (/ (sin (* x (PI))) (* (* x (PI)) x))) (sqrt (PI))) (* (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (/ (sin (* x (PI))) (* (* x (PI)) x))) (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (sin (* tau (* x (PI)))) (* (PI) x) (/ (sin (* tau (* (PI) x))) (PI)) (* (* (neg tau) (PI)) (* x x)) (* (PI) (PI)) (* (* tau x) (PI)) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* (* x (PI)) x)) (* x (PI)))
8.0ms	tau	@	0	((/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (/ 1 x) tau) (/ 1 x) (neg (/ (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (* (* (neg tau) (PI)) (* x x)))) (/ (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (* (* (neg tau) (PI)) (* x x))) (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* tau x) (PI))) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (/ (* (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (/ (sin (* x (PI))) (* (* x (PI)) x))) (sqrt (PI))) (* (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (/ (sin (* x (PI))) (* (* x (PI)) x))) (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (sin (* tau (* x (PI)))) (* (PI) x) (/ (sin (* tau (* (PI) x))) (PI)) (* (* (neg tau) (PI)) (* x x)) (* (PI) (PI)) (* (* tau x) (PI)) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* (* x (PI)) x)) (* x (PI)))
8.0ms	x	@	-inf	((/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (/ 1 x) tau) (/ 1 x) (neg (/ (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (* (* (neg tau) (PI)) (* x x)))) (/ (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (* (* (neg tau) (PI)) (* x x))) (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* tau x) (PI))) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (/ (* (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (/ (sin (* x (PI))) (* (* x (PI)) x))) (sqrt (PI))) (* (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (/ (sin (* x (PI))) (* (* x (PI)) x))) (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (sin (* tau (* x (PI)))) (* (PI) x) (/ (sin (* tau (* (PI) x))) (PI)) (* (* (neg tau) (PI)) (* x x)) (* (PI) (PI)) (* (* tau x) (PI)) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* (* x (PI)) x)) (* x (PI)))
7.0ms	tau	@	inf	((/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (/ 1 x) tau) (/ 1 x) (neg (/ (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (* (* (neg tau) (PI)) (* x x)))) (/ (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (* (* (neg tau) (PI)) (* x x))) (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* tau x) (PI))) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (/ (* (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (/ (sin (* x (PI))) (* (* x (PI)) x))) (sqrt (PI))) (* (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (/ (sin (* x (PI))) (* (* x (PI)) x))) (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (sin (* tau (* x (PI)))) (* (PI) x) (/ (sin (* tau (* (PI) x))) (PI)) (* (* (neg tau) (PI)) (* x x)) (* (PI) (PI)) (* (* tau x) (PI)) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* (* x (PI)) x)) (* x (PI)))
7.0ms	x	@	inf	((/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (/ 1 x) tau) (/ 1 x) (neg (/ (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (* (* (neg tau) (PI)) (* x x)))) (/ (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (* (* (neg tau) (PI)) (* x x))) (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (PI)) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* tau x) (PI))) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (/ (* (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (/ (sin (* x (PI))) (* (* x (PI)) x))) (sqrt (PI))) (* (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (/ (sin (* x (PI))) (* (* x (PI)) x))) (/ (sin (* tau (* x (PI)))) (* (sqrt (PI)) tau)) (sin (* tau (* x (PI)))) (* (PI) x) (/ (sin (* tau (* (PI) x))) (PI)) (* (* (neg tau) (PI)) (* x x)) (* (PI) (PI)) (* (* tau x) (PI)) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* (* x (PI)) x)) (* x (PI)))

simplify189.0ms (2.4%)

Memory

-11.9MiB live, 314.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	630	3081
1	2380	2930
2	7499	2928
0	8095	2737

Stop Event

1×	iter limit
1×	node limit

Counts

100 → 100

Calls

Call 1

Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(/ 1 (* tau x))
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)
(/ 1 x)
(+ 1 (* (pow x 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)))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* (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)))))) (* -1 (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
-1
(- (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) 1)
(- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))) 1)
(- (* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/720 (* (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))))))) (* -1 (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) 1)
(* tau (* (pow x 2) (PI)))
(* (pow x 2) (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* (pow x 2) (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(* (pow x 2) (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(* tau x)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(/ x (* tau (PI)))
(* x (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))))
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))))
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
(sqrt (PI))
(+ (sqrt (PI)) (* (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (sqrt (/ 1 (pow (PI) 3)))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (* (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6)))))) (sqrt (/ 1 (pow (PI) 3)))))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (* (pow x 2) (+ (* (sqrt (/ 1 (pow (PI) 3))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 8))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 8))) (* -1/5040 (pow (PI) 8)))))) (sqrt (/ 1 (pow (PI) 3)))))))))
(* x (sqrt (PI)))
(* x (+ (sqrt (PI)) (* -1/6 (* (* (pow tau 2) (pow x 2)) (sqrt (pow (PI) 5))))))
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 5)))) (* 1/120 (* (* (pow tau 4) (pow x 2)) (sqrt (pow (PI) 9))))))))
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (sqrt (pow (PI) 5)))) (* (pow x 2) (+ (* -1/5040 (* (* (pow tau 6) (pow x 2)) (sqrt (pow (PI) 13)))) (* 1/120 (* (pow tau 4) (sqrt (pow (PI) 9))))))))))
(* -1 (* tau (* (pow x 2) (PI))))
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)
(/ (+ 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))))))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* x (PI))) (* tau (pow (PI) 2)))
(sin (* x (PI)))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (sin (* tau (* x (PI)))) tau) (sqrt (/ 1 (PI))))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
(- (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (* -1 (/ (sin (* x (PI))) (* x (PI)))))
(- (* (pow tau 2) (- (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))) (* -1 (/ (sin (* x (PI))) (* x (PI)))))
(- (* (pow tau 2) (- (* (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)))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))) (* -1 (/ (sin (* x (PI))) (* x (PI)))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* tau (* x (sin (* x (PI)))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI))))))) (* x (sin (* x (PI))))))
(* tau (+ (* x (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(* tau (+ (* x (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(+ (* -1/6 (* (* (pow tau 2) (* x (sin (* x (PI))))) (sqrt (pow (PI) 3)))) (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))))
(+ (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* x (sin (* x (PI)))) (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 2) (* (pow x 3) (sin (* x (PI))))) (sqrt (pow (PI) 7)))))))
(+ (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* x (sin (* x (PI)))) (sqrt (pow (PI) 3)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (* (pow x 5) (sin (* x (PI))))) (sqrt (pow (PI) 11)))) (* 1/120 (* (* (pow x 3) (sin (* x (PI)))) (sqrt (pow (PI) 7)))))))))
(+ (* -1/6 (* (* (pow tau 2) (pow x 3)) (sqrt (pow (PI) 5)))) (* x (sqrt (PI))))
(+ (* x (sqrt (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (sqrt (pow (PI) 5)))) (* 1/120 (* (* (pow tau 2) (pow x 5)) (sqrt (pow (PI) 9)))))))
(+ (* x (sqrt (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (sqrt (pow (PI) 5)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (pow x 7)) (sqrt (pow (PI) 13)))) (* 1/120 (* (pow x 5) (sqrt (pow (PI) 9)))))))))
(* tau (pow (PI) 2))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
(+ 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))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(+ 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))))))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 tau tau) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) (PI.f32)) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 tau tau) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32))))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) (PI.f32)) x)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 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))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 x x)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 x x)) (*.f32 (PI.f32) tau)) x)
(* 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))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 x x)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (.f32 (PI.f32) tau)) x)
(* 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)))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 x x)))) (.f32 x x) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (*.f32 (PI.f32) tau)) x)
(/ 1 (* tau x))
(/.f32 (/.f32 #s(literal 1 binary32) x) tau)
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 tau x))
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)
(/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau)) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)
(/.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) tau) (.f32 x x) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau)) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(+ 1 (* (pow x 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)))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* (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)))))) (* -1 (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 tau tau) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) 1)
(-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x)) #s(literal 1 binary32))
(- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))) 1)
(-.f32 (.f32 (fma.f32 (.f32 (neg.f32 x) x) (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x)) #s(literal 1 binary32))
(- (* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/720 (* (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))))))) (* -1 (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) 1)
(-.f32 (.f32 (fma.f32 (neg.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 tau tau) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))))) (.f32 x x) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x)) #s(literal 1 binary32))
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 x x) (PI.f32)) tau)
(* (pow x 2) (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (.f32 x x) (.f32 (PI.f32) tau)) (.f32 x x))
(* (pow x 2) (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))))) (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (PI.f32) tau)) (.f32 x x))
(* (pow x 2) (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 3 binary32)) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32)))) (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))))) (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (PI.f32) tau)) (.f32 x x))
(* tau x)
(*.f32 tau x)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau) x)
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
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(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))))
(fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (neg.f32 x) (PI.f32))))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 x) (PI.f32))))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 x #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (neg.f32 x) (PI.f32))))
(* tau (* x (sin (* x (PI)))))
(.f32 (.f32 tau x) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI))))))) (* x (sin (* x (PI))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))) (pow.f32 x #s(literal 3 binary32))) (.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) tau)
(* tau (+ (* x (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (pow.f32 x #s(literal 5 binary32))))) (.f32 tau tau) (.f32 (sin.f32 (.f32 (PI.f32) x)) x)) tau)
(* tau (+ (* x (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 7 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 tau tau))) (.f32 tau tau) (.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) tau)
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) (PI.f32))) x) tau)
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 tau tau) x) tau)
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 tau tau))) (*.f32 tau tau) x) tau)
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+ (* -1/6 (* (* (pow tau 2) (* x (sin (* x (PI))))) (sqrt (pow (PI) 3)))) (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) (sin.f32 (.f32 (PI.f32) x)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+ (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* x (sin (* x (PI)))) (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 2) (* (pow x 3) (sin (* x (PI))))) (sqrt (pow (PI) 7)))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau tau))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (sin.f32 (.f32 (PI.f32) x)) x)) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+ (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* x (sin (* x (PI)))) (sqrt (pow (PI) 3)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (* (pow x 5) (sin (* x (PI))))) (sqrt (pow (PI) 11)))) (* 1/120 (* (* (pow x 3) (sin (* x (PI)))) (sqrt (pow (PI) 7)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (.f32 (pow.f32 x #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau tau))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 11 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 tau tau))) (.f32 tau tau) (.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+ (* -1/6 (* (* (pow tau 2) (pow x 3)) (sqrt (pow (PI) 5)))) (* x (sqrt (PI))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 tau tau))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 (sqrt.f32 (PI.f32)) x))
(+ (* x (sqrt (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (sqrt (pow (PI) 5)))) (* 1/120 (* (* (pow tau 2) (pow x 5)) (sqrt (pow (PI) 9)))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 tau tau)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 9 binary32)))) #s(literal 1/120 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 tau tau) (*.f32 (sqrt.f32 (PI.f32)) x))
(+ (* x (sqrt (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (sqrt (pow (PI) 5)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (pow x 7)) (sqrt (pow (PI) 13)))) (* 1/120 (* (pow x 5) (sqrt (pow (PI) 9)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 x #s(literal 7 binary32)) (.f32 tau tau)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 13 binary32)))) #s(literal -1/5040 binary32) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 9 binary32))))) (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 tau tau) (.f32 (sqrt.f32 (PI.f32)) x))
(* tau (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) tau)

rewrite165.0ms (2.1%)

Memory

28.8MiB live, 263.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	386
0	98	382
1	279	380
2	1234	369
0	8627	369

Stop Event

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

Counts

28 → 1 619

Calls

Call 1

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

Outputs
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (*.f32 x x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (*.f32 x x) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (neg.f32 x)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau (*.f32 x (PI.f32))) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x x) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x x)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (cbrt.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (sqrt.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau (*.f32 x (PI.f32))) x))) (cbrt.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau (*.f32 x (PI.f32))) x))) (sqrt.f32 (PI.f32)))
(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x (PI.f32))) x))) (neg.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 tau x))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x x) (PI.f32)))) (*.f32 tau (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))) (neg.f32 tau))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) tau)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) tau))) (neg.f32 x))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x x))) (neg.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x x))) (.f32 (neg.f32 (PI.f32)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))) (neg.f32 x))
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(.f32 (.f32 (PI.f32) (PI.f32)) tau)
(.f32 (.f32 (neg.f32 tau) (PI.f32)) (neg.f32 (PI.f32)))
(.f32 (neg.f32 tau) (.f32 (neg.f32 (PI.f32)) (PI.f32)))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(.f32 (PI.f32) (.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 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 (.f32 tau (PI.f32)) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (.f32 (neg.f32 x) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x)
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 x x))
(/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 x) (PI.f32)) x))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x x) (PI.f32)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (neg.f32 x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(.f32 (.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(.f32 (.f32 x (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 x (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (neg.f32 (cbrt.f32 (PI.f32))) (.f32 (neg.f32 (cbrt.f32 (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) x))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.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 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(sqrt.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
(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)))))
(fabs.f32 (*.f32 (neg.f32 x) (PI.f32)))
(fabs.f32 (*.f32 x (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)))

eval595.0ms (7.7%)

Memory: -56.0MiB live, 420.0MiB allocated
Compiler: Compiled 39 023 to 4 174 computations (89.3% saved)

prune98.0ms (1.3%)

Memory

-19.1MiB live, 223.4MiB allocated

Pruning

61 alts after pruning (53 fresh and 8 done)

	Pruned	Kept	Total
New	1 210	20	1 230
Fresh	4	33	37
Picked	1	4	5
Done	0	4	4
Total	1 215	61	1 276

Accuracy

99.9%

Counts

1 276 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (.f32 x x)) (sqrt.f32 (PI.f32)))
✓	98.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
	63.4%	(/.f32 (/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 x (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
	97.2%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) (PI.f32)))
✓	98.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	96.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x x) (PI.f32)))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (*.f32 (PI.f32) x) tau) x))
	98.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32))))
	94.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau) x))
✓	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) x) (neg.f32 (sqrt.f32 (PI.f32)))))
	70.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* (* x (PI)) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x))) (sqrt.f32 (PI.f32)))
	13.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 x (.f32 (.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)) x) tau)))
	11.4%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 tau x))) (.f32 (.f32 (.f32 x x) tau) (neg.f32 (PI.f32))))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (.f32 x x))))
	98.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau) (.f32 (neg.f32 x) (PI.f32))))
	70.6%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
	63.5%	(/.f32 #s(approx (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x))
	97.9%	(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))) (*.f32 (PI.f32) x))
	96.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32))))) (*.f32 tau (PI.f32))))
	9.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	9.9%	(.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau 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 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)))
	95.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	64.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 x tau)) x))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
	10.5%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	64.2%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (.f32 x tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) x)))
	70.6%	(.f32 #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
	93.6%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal -3 binary32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
	96.7%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) (sqrt.f32 (PI.f32))))
	97.1%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
	24.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	63.7%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)) (.f32 x tau))) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	63.7%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 tau x))) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	27.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)) tau) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	70.6%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
✓	63.5%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	63.5%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	95.7%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))))) (PI.f32)))
✓	97.1%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	64.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
	62.8%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (exp.f32 (.f32 (log.f32 x) #s(literal -1 binary32))) tau)) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
	63.7%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 #s(literal 1 binary32) (.f32 tau x))) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
	63.4%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
	12.6%	(neg.f32 (/.f32 (.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 tau x)) (.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (neg.f32 x)))
	10.4%	(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (sin.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (.f32 x x))))
✓	64.2%	(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (*.f32 x x))))
	64.2%	(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) tau) (neg.f32 x)))))
	10.6%	(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (.f32 x x))))
	63.5%	(neg.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (PI.f32)) tau)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (.f32 x x))))
	64.5%	(neg.f32 #s(approx (/ (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (* (* (neg tau) (PI)) (* x x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x)) #s(literal 1 binary32))))
	64.5%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	97.4%	#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 x x))))
	94.7%	#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 x x))))
✓	97.3%	#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 x x))))
	70.5%	#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 x x))))
✓	63.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 979 to 1 611 computations (67.6% saved)

regimes146.0ms (1.9%)

Memory

-14.7MiB live, 367.0MiB allocated

Counts

109 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 #s(literal 1 binary32) (.f32 tau x))) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
(neg.f32 #s(approx (/ (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (* (* (neg tau) (PI)) (* x x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
(/.f32 #s(approx (* (/ (sin (* x (PI))) x) (sin (* tau (* x (PI))))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (PI)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) (PI.f32)) tau)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (.f32 x x))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 tau x))) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)) (.f32 x tau))) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
(/.f32 (/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 x (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (.f32 x tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
(.f32 #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 tau x))) (.f32 (.f32 (.f32 x x) tau) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (*.f32 x x))))
(.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 x x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 x tau)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (sin.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (.f32 x x))))
(neg.f32 (/.f32 (.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 tau x)) (.f32 (*.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (neg.f32 x)))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) #s(approx (/ (sin (* tau (* (PI) x))) (PI)) (*.f32 tau x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (.f32 x x))))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)) tau) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) tau) (neg.f32 x)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* (* x (PI)) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x))) (sqrt.f32 (PI.f32)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (exp.f32 (.f32 (log.f32 x) #s(literal -1 binary32))) tau)) #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (*.f32 tau x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 x (.f32 (.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau) (.f32 (neg.f32 x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) (.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 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 x x))))
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 x x))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x x) (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (*.f32 x (PI.f32))) x)) (PI.f32)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))
(.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 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)))
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (*.f32 (PI.f32) x) tau) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) x) (*.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 (/.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 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.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 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) x))) (PI.f32))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) (PI.f32)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x) (.f32 (PI.f32) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) x) x))
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(.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 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x))) (sqrt.f32 (PI.f32)))
(/.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 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x x) (PI.f32)))) (*.f32 (sqrt.f32 (PI.f32)) tau))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (.f32 x x)) (sqrt.f32 (PI.f32)))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 x x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau) x))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -9/2 binary32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x)))))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x)))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal -3 binary32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))) (.f32 (PI.f32) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32))))) (*.f32 tau (PI.f32))))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) x)))) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) (sqrt.f32 (PI.f32))))

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

Calls

4 calls:

58.0ms	(.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))))
29.0ms	(*.f32 x (PI.f32))
27.0ms	tau
26.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes70.0ms (0.9%)

Memory

20.2MiB live, 349.3MiB allocated

Counts

58 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	tau
18.0ms	(*.f32 x (PI.f32))
16.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
15.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes77.0ms (1%)

Memory

-9.5MiB live, 519.5MiB allocated

Counts

55 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
19.0ms	x
18.0ms	tau
15.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes65.0ms (0.8%)

Memory

49.9MiB live, 458.8MiB allocated

Counts

39 → 1

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	(*.f32 x (PI.f32))
15.0ms	x
13.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
11.0ms	tau

Results

Accuracy	Segments	Branch
70.6%	1	`(*.f32 x (PI.f32))`
70.6%	1	`x`
70.6%	1	`tau`
70.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes57.0ms (0.7%)

Memory

-36.4MiB live, 183.2MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

36.0ms	(*.f32 x (PI.f32))
9.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
7.0ms	tau
4.0ms	x

Results

Accuracy	Segments	Branch
64.5%	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))))`
64.5%	1	`tau`
64.5%	1	`(*.f32 x (PI.f32))`
64.5%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes11.0ms (0.1%)

Memory

16.3MiB live, 67.0MiB allocated

Accuracy

Total -0.1b remaining (-1%)

Threshold costs -0.1b (-1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	tau
2.0ms	x
2.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
63.7%	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))))`
63.7%	1	`tau`
63.7%	1	`(*.f32 x (PI.f32))`
63.7%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify64.0ms (0.8%)

Memory

4.4MiB live, 97.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	151
1	112	151
2	306	151
3	1248	149
4	3739	149
5	7085	149
6	7278	149
7	7636	149

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.3s (17.3%)

Memory

4.0MiB live, 1 727.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	743
1	717	721
2	3469	697
0	8248	646
0	10	55
0	18	55
1	54	55
2	349	53
3	3602	53
0	9348	53
0	630	3081
1	2380	2930
2	7499	2928
0	8095	2737
0	56	386
0	98	382
1	279	380
2	1234	369
0	8627	369
0	34	222
0	56	218
1	186	218
2	1013	207
3	6917	207
0	8202	207
0	444	1840
1	1628	1782
2	7610	1778
0	8059	1657
0	495	2311
1	1852	2199
2	7167	2197
0	9139	2058
0	58	372
0	103	364
1	283	360
2	1221	354
0	8346	354

Stop Event

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

Compiler

Compiled 438 to 187 computations (57.3% saved)

preprocess68.0ms (0.9%)

Memory

-2.9MiB live, 429.3MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 592 to 258 computations (56.4% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze34.0ms (0.4%)

sample1.5s (19.1%)

explain121.0ms (1.6%)

preprocess132.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify95.0ms (1.2%)

localize30.0ms (0.4%)

series28.0ms (0.4%)

simplify281.0ms (3.6%)

rewrite154.0ms (2%)

eval66.0ms (0.9%)

prune44.0ms (0.6%)

simplify117.0ms (1.5%)

localize141.0ms (1.8%)

series44.0ms (0.6%)

simplify170.0ms (2.2%)

rewrite211.0ms (2.7%)

eval116.0ms (1.5%)

prune79.0ms (1%)

simplify113.0ms (1.5%)

localize159.0ms (2%)

series50.0ms (0.6%)

simplify292.0ms (3.8%)

rewrite254.0ms (3.3%)

eval146.0ms (1.9%)

prune67.0ms (0.9%)

simplify118.0ms (1.5%)

localize193.0ms (2.5%)

series73.0ms (0.9%)

simplify189.0ms (2.4%)

rewrite165.0ms (2.1%)

eval595.0ms (7.7%)

prune98.0ms (1.3%)

regimes146.0ms (1.9%)

regimes70.0ms (0.9%)

regimes77.0ms (1%)

regimes65.0ms (0.8%)

regimes57.0ms (0.7%)

regimes11.0ms (0.1%)

simplify64.0ms (0.8%)

soundness1.3s (17.3%)

preprocess68.0ms (0.9%)

end0.0ms (0%)

Profiling