Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze22.0ms (0.3%)

Memory

-3.9MiB live, 35.0MiB 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)

sample1.4s (16.3%)

Memory

36.8MiB live, 2 175.1MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 845.0ms

ival-mult: 153.0ms (18.1% of total)

ival-sinu: 143.0ms (16.9% of total)

ival-sin: 131.0ms (15.5% of total)

const: 118.0ms (14% of total)

ival-div: 110.0ms (13% of total)

ival-<=: 80.0ms (9.5% of total)

ival-pi: 76.0ms (9% of total)

ival-and: 22.0ms (2.6% of total)

exact: 8.0ms (0.9% of total)

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

Bogosity

explain146.0ms (1.7%)

Memory

2.6MiB live, 236.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
2	-	2	(0.9890168905258179 4.428894519805908)	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	5
-	0	251

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	5
-	0	1	250

Precision?

0.0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 14.0ms (37.5% of total)

ival-sinu: 8.0ms (21.4% of total)

ival-sin: 7.0ms (18.7% of total)

ival-div: 6.0ms (16.1% of total)

ival-pi: 2.0ms (5.4% of total)

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

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

preprocess135.0ms (1.6%)

Memory

19.2MiB live, 138.5MiB 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(.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)

simplify112.0ms (1.3%)

Memory

-29.3MiB live, 119.0MiB 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))

localize32.0ms (0.4%)

Memory

-2.3MiB live, 35.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.30859375	(*.f32 x (PI.f32))
accuracy	0.33041000976844204	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.38200269224755307	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.39880756837909415	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

25.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 5.0ms (27% of total)

ival-mult: 4.0ms (21.6% of total)

ival-sinu: 4.0ms (21.6% of total)

ival-sin: 4.0ms (21.6% of total)

ival-pi: 1.0ms (5.4% of total)

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

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

series29.0ms (0.3%)

Memory

2.8MiB live, 40.1MiB 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	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)))
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)))
3.0ms	x	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
3.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))

simplify220.0ms (2.5%)

Memory

-0.3MiB live, 193.9MiB 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))

rewrite162.0ms (1.9%)

Memory

3.1MiB live, 191.9MiB 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))

eval113.0ms (1.3%)

Memory: -6.9MiB live, 127.4MiB allocated
Compiler: Compiled 15 775 to 1 925 computations (87.8% saved)

prune58.0ms (0.7%)

Memory

-13.4MiB live, 141.5MiB allocated

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	559	33	592
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	560	33	593

Accuracy

99.6%

Counts

593 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.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))
▶	96.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	96.4%	(/.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))))
	96.9%	(/.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))))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x)))) x)
▶	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 tau (PI.f32)))
	97.3%	(/.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)))
	97.7%	(/.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))
	97.2%	(.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))))
	95.7%	(.f32 (/.f32 (sin.f32 (+.f32 (.f32 (.f32 tau x) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 tau x) (sinh.f32 (log.f32 (PI.f32)))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	95.2%	(.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))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.8%	(.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))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (.f32 (cbrt.f32 (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
	96.9%	(.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))))
	34.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.2%	(.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))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.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))))
▶	97.2%	(.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)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	63.9%	(.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))))
	97.5%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
▶	97.8%	(.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)))
	25.1%	(.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))))
	31.0%	#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))))
	96.8%	#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))))
▶	63.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 678 to 924 computations (44.9% saved)

simplify129.0ms (1.5%)

Memory

26.8MiB live, 102.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
cost-diff	4	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) tau))
cost-diff	0	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.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	(PI.f32)
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	336
0	60	332
1	142	332
2	405	332
3	1266	332
4	2535	332
5	3741	332
6	6843	332
7	6923	332
8	6997	332
9	7268	332
0	8046	332

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1.2%)

Memory

18.0MiB live, 168.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.38200269224755307	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4303512695368841	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))
accuracy	0.43263627930532605	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) tau))
accuracy	0.45703125	(*.f32 (sqrt.f32 (PI.f32)) x)
accuracy	0.30859375	(*.f32 tau (PI.f32))
accuracy	0.33041000976844204	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
accuracy	0.38200269224755307	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.42158129884221013	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 tau (PI.f32)))
accuracy	0.36166000976844204	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
accuracy	0.38200269224755307	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4069137695368841	(.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	0.41015625	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
accuracy	11.790673955681923	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.332695019536884	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.38200269224755307	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.3984375	(.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)))
accuracy	0.39880756837909415	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))

Samples

78.0ms

256×

valid

Compiler

Compiled 336 to 35 computations (89.6% saved)

Precisions

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

ival-mult: 26.0ms (42% of total)

ival-div: 20.0ms (32.3% of total)

ival-sin: 7.0ms (11.3% of total)

ival-sinu: 6.0ms (9.7% of total)

ival-sqrt: 2.0ms (3.2% 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)

series49.0ms (0.6%)

Memory

-29.0MiB live, 51.0MiB allocated

Counts

20 → 83

Calls

Call 1

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

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

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)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (* tau (PI))) (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (sqrt (PI)) tau)) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (* tau (PI)) (* (sqrt (PI)) x))
10.0ms	tau	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (* tau (PI))) (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (sqrt (PI)) tau)) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (* tau (PI)) (* (sqrt (PI)) x))
7.0ms	x	@	0	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (* tau (PI))) (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (sqrt (PI)) tau)) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (* tau (PI)) (* (sqrt (PI)) x))
7.0ms	x	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (* tau (PI))) (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (sqrt (PI)) tau)) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (* tau (PI)) (* (sqrt (PI)) x))
6.0ms	x	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (* tau (PI))) (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (sqrt (PI)) tau)) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (* tau (PI)) (* (sqrt (PI)) x))

simplify180.0ms (2.1%)

Memory

16.9MiB live, 177.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	525	2330
1	1965	2240
2	5838	2240
0	8180	2099

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 83

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

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

rewrite184.0ms (2.1%)

Memory

13.6MiB live, 233.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	242
0	60	238
1	203	238
2	1090	225
3	6903	225
0	8186	225

Stop Event

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

Counts

20 → 1 213

Calls

Call 1

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

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

eval248.0ms (2.9%)

Memory: 19.0MiB live, 444.2MiB allocated
Compiler: Compiled 66 579 to 6 828 computations (89.7% saved)

prune401.0ms (4.6%)

Memory

-195.2MiB live, 207.2MiB allocated

Pruning

52 alts after pruning (51 fresh and 1 done)

	Pruned	Kept	Total
New	2 241	40	2 281
Fresh	17	11	28
Picked	4	1	5
Done	0	0	0
Total	2 262	52	2 314

Accuracy

99.7%

Counts

2 314 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (neg.f32 x)) (*.f32 tau (PI.f32)))
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) x)) (*.f32 tau (PI.f32)))
	95.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) (.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	95.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	96.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 tau x))
	96.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 tau (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x)))) x)
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) x)) (*.f32 tau (PI.f32)))
	96.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x)) (.f32 (PI.f32) x))) (.f32 tau (PI.f32)))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) x))) (*.f32 tau (PI.f32)))
	70.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 tau (PI.f32)))
	97.3%	(/.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)))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) x) (*.f32 x (PI.f32))))
	69.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) tau))
▶	97.7%	(/.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))
	70.2%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (sqrt (PI)) x)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) tau))
▶	63.6%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
	96.8%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x x) (PI.f32))))) (*.f32 tau (PI.f32)))
	63.8%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 tau x))) (*.f32 tau (PI.f32)))
	96.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (.f32 x x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.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))))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) (PI.f32)))
	94.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (PI.f32)))) x))) (PI.f32)))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) (PI.f32)))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (exp.f32 (log.f32 (PI.f32))) x))) (PI.f32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 #s(approx (sin ( tau (* (PI) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (PI.f32)))
	63.8%	(.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)))
	97.5%	(.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)))
	70.0%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	96.3%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	96.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.2%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (.f32 (*.f32 x (PI.f32)) x)))
	96.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
	97.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (.f32 (.f32 tau (*.f32 x (PI.f32))) x)))
	63.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (.f32 tau x) (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
▶	97.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x)))
	31.0%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
▶	63.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	96.6%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) x) x)) (*.f32 (sqrt.f32 (PI.f32)) tau)))
	26.1%	(.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%	(.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))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	69.8%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	96.6%	(.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)))
	70.1%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	96.8%	#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))))
✓	63.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 691 to 1 598 computations (40.6% saved)

simplify122.0ms (1.4%)

Memory

-15.3MiB live, 132.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	474
0	87	462
1	152	462
2	357	458
3	992	458
4	2472	458
5	4183	458
6	6886	458
7	6926	458
8	7043	458
9	7521	458
0	8093	458

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (1.6%)

Memory

13.3MiB live, 168.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.38200269224755307	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4069137695368841	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
accuracy	0.41015625	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
accuracy	0.45703125	(*.f32 (sqrt.f32 (PI.f32)) x)
accuracy	0.30859375	(*.f32 (PI.f32) x)
accuracy	0.38200269224755307	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.39880756837909415	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.39976503907376815	(/.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))
accuracy	0.43263627930532605	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
accuracy	0.5918350586106522	(.f32 (.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
accuracy	1.0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy	11.263124714278156	#s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
accuracy	0.26078500589004405	(sin.f32 (*.f32 (PI.f32) x))
accuracy	0.30859375	(*.f32 (PI.f32) x)
accuracy	0.3984375	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
accuracy	11.272189897992313	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
accuracy	0.38200269224755307	(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
accuracy	0.38900375976844204	(.f32 (.f32 tau x) (PI.f32))
accuracy	0.3984375	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x)))
accuracy	0.39880756837909415	(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))

Samples

112.0ms

256×

valid

Compiler

Compiled 397 to 38 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-sinu: 34.0ms (38.6% of total)

ival-div: 23.0ms (26.1% of total)

ival-mult: 19.0ms (21.6% of total)

ival-sin: 7.0ms (7.9% of total)

ival-sqrt: 3.0ms (3.4% of total)

ival-pi: 1.0ms (1.1% 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

-5.8MiB live, 82.0MiB allocated

Counts

24 → 74

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	tau	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (sqrt (PI)) tau)) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (* (sin (* (PI) x)) (/ tau x)) (sqrt (/ 1 (PI)))) (* (sin (* (PI) x)) (/ tau x)) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (* (sqrt (PI)) x) (sqrt (PI))) (* (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (* (* tau x) (PI)) (sin (* (* tau x) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (sqrt (/ 1 (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* (sqrt (PI)) x) (/ (sin (* tau (* (PI) x))) (PI)))
7.0ms	x	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (sqrt (PI)) tau)) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (* (sin (* (PI) x)) (/ tau x)) (sqrt (/ 1 (PI)))) (* (sin (* (PI) x)) (/ tau x)) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (* (sqrt (PI)) x) (sqrt (PI))) (* (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (* (* tau x) (PI)) (sin (* (* tau x) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (sqrt (/ 1 (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* (sqrt (PI)) x) (/ (sin (* tau (* (PI) x))) (PI)))
7.0ms	tau	@	0	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (sqrt (PI)) tau)) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (* (sin (* (PI) x)) (/ tau x)) (sqrt (/ 1 (PI)))) (* (sin (* (PI) x)) (/ tau x)) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (* (sqrt (PI)) x) (sqrt (PI))) (* (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (* (* tau x) (PI)) (sin (* (* tau x) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (sqrt (/ 1 (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* (sqrt (PI)) x) (/ (sin (* tau (* (PI) x))) (PI)))
6.0ms	x	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (sqrt (PI)) tau)) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (* (sin (* (PI) x)) (/ tau x)) (sqrt (/ 1 (PI)))) (* (sin (* (PI) x)) (/ tau x)) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (* (sqrt (PI)) x) (sqrt (PI))) (* (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (* (* tau x) (PI)) (sin (* (* tau x) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (sqrt (/ 1 (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* (sqrt (PI)) x) (/ (sin (* tau (* (PI) x))) (PI)))
5.0ms	tau	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (sqrt (PI)) tau)) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (* (sin (* (PI) x)) (/ tau x)) (sqrt (/ 1 (PI)))) (* (sin (* (PI) x)) (/ tau x)) (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (* (sqrt (PI)) x) (sqrt (PI))) (* (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (* (* tau x) (PI)) (sin (* (* tau x) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (sqrt (/ 1 (PI))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* (sqrt (PI)) x) (/ (sin (* tau (* (PI) x))) (PI)))

simplify163.0ms (1.9%)

Memory

38.1MiB live, 226.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	513	2151
1	1912	2063
2	5693	2063
0	8558	1930

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 74

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

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

rewrite201.0ms (2.3%)

Memory

-11.3MiB live, 214.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	336
0	87	324
1	210	316
2	995	303
3	7487	303
0	8019	303

Stop Event

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

Counts

24 → 1 126

Calls

Call 1

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

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

eval283.0ms (3.3%)

Memory: 18.7MiB live, 529.6MiB allocated
Compiler: Compiled 85 955 to 8 055 computations (90.6% saved)

prune151.0ms (1.7%)

Memory

-24.0MiB live, 309.7MiB allocated

Pruning

72 alts after pruning (68 fresh and 4 done)

	Pruned	Kept	Total
New	2 436	40	2 476
Fresh	18	28	46
Picked	2	3	5
Done	0	1	1
Total	2 456	72	2 528

Accuracy

99.8%

Counts

2 528 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 tau (PI.f32))))) (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 x (PI.f32))))) (.f32 #s(literal 2 binary32) (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) x))
▶	96.9%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (neg.f32 x)) (*.f32 tau (PI.f32)))
	95.1%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (cbrt.f32 (PI.f32)) x))
	95.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) (.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	95.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	96.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 tau x))
▶	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (*.f32 tau x) (PI.f32)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (*.f32 x (PI.f32)) x))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (*.f32 (PI.f32) (PI.f32)) x))
	96.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 tau (PI.f32)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) x)) (*.f32 tau (PI.f32)))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) x))) (*.f32 tau (PI.f32)))
	70.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 tau (PI.f32)))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) x) (*.f32 x (PI.f32))))
	69.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) tau))
	96.2%	(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	95.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (exp.f32 (log.f32 (PI.f32))) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	96.4%	(/.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 3 binary32)) x)))) (*.f32 (PI.f32) x))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x)) (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
	70.2%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (sqrt (PI)) x)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) tau))
	70.2%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	63.7%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (/.f32 tau (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
	4.1%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	15.4%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 (sin.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (PI.f32))) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	15.1%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	4.1%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	14.4%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	62.9%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
	62.9%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 #s(approx ( (sin (* (PI) x)) (/ tau x)) (.f32 (PI.f32) tau)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
	63.8%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 tau x))) (*.f32 tau (PI.f32)))
	96.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (.f32 x x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 (.f32 tau (.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))))) (PI.f32)))
✓	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	95.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 x x) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) x)))
	95.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (cbrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (*.f32 x x) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)))))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) (PI.f32)))
	94.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (PI.f32)))) x))) (PI.f32)))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) (PI.f32)))
	63.8%	(.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)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
	70.0%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	11.2%	(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	10.2%	(.f32 (sin.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (PI.f32))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	63.7%	(.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	97.3%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (*.f32 tau x) (PI.f32)) x)) (PI.f32)))
	97.5%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (.f32 (.f32 tau (*.f32 x (PI.f32))) x)))
	63.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (.f32 tau x) (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x)))
✓	97.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x)))
	31.2%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	63.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))))
✓	63.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	96.6%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) x) x)) (*.f32 (sqrt.f32 (PI.f32)) tau)))
	10.9%	(.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	10.8%	(.f32 (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	11.7%	(.f32 (cos.f32 (fma.f32 (neg.f32 x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	10.2%	(.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	27.6%	(.f32 #s(approx (/ (sin ( (* (sqrt (PI)) x) (sqrt (PI)))) (* (* 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))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	69.8%	(.f32 #s(approx (/ (sin ( (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
▶	96.6%	(.f32 #s(approx (/ (sin ( (* (sqrt (PI)) x) (sqrt (PI)))) (* (* 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)))
▶	24.7%	(.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))))
	70.1%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x)))
▶	63.1%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	96.8%	#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))))
✓	63.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
	63.9%	#s(approx (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))

Compiler

Compiled 4 029 to 2 414 computations (40.1% saved)

simplify88.0ms (1%)

Memory

11.0MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	484
0	107	482
1	224	482
2	593	472
3	2951	472
0	8382	472

Stop Event

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

Calls

Call 1

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

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

localize211.0ms (2.4%)

Memory

15.8MiB live, 165.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.30859375	(*.f32 tau (PI.f32))
accuracy	0.359375	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32)))
accuracy	0.38200269224755307	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.42158129884221013	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (neg.f32 x)) (*.f32 tau (PI.f32)))
accuracy	0.38200269224755307	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4069137695368841	(.f32 #s(approx (/ (sin ( (* (sqrt (PI)) x) (sqrt (PI)))) (* (* 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	0.41015625	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
accuracy	0.42025375976844204	(.f32 (.f32 x x) (PI.f32))
accuracy	0.375	(.f32 (.f32 tau tau) #s(literal -1/6 binary32))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	7.084152557872951	#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)))
accuracy	17.12360015145049	(fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))
accuracy	0.30859375	(*.f32 (PI.f32) x)
accuracy	0.3984375	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
accuracy	9.192805411286367	#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
accuracy	11.272189897992313	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
accuracy	0.33041000976844204	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.38200269224755307	(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
accuracy	0.38900375976844204	(.f32 (.f32 tau x) (PI.f32))
accuracy	0.4385338379159782	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (*.f32 tau x) (PI.f32)))

Samples

160.0ms

256×

valid

Compiler

Compiled 411 to 55 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-div: 67.0ms (50.9% of total)

ival-mult: 33.0ms (25.1% of total)

ival-sin: 13.0ms (9.9% of total)

ival-sinu: 9.0ms (6.8% of total)

const: 4.0ms (3% of total)

ival-sqrt: 2.0ms (1.5% of total)

ival-neg: 2.0ms (1.5% of total)

ival-pi: 1.0ms (0.8% of total)

ival-add: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory

4.4MiB live, 42.2MiB allocated

Counts

29 → 88

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* tau tau) -1/6) (* (* (* (PI) (PI)) x) x)) 1) (* (* tau tau) -1/6) (* (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* (PI) x)) (* (* (* x x) (PI)) tau)) (sin (* (PI) x)) (/ (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (neg x)) (/ (/ (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (neg x)) (* tau (PI))) (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (/ (sin (* x (PI))) (neg (PI))) (* (* tau x) (PI)) (sin (* (* tau x) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (PI) (PI)) (* (* x x) (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (sin (* tau (* (PI) x))) (sin (* tau (* x (PI)))) (* tau (PI)))
5.0ms	x	@	inf	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* tau tau) -1/6) (* (* (* (PI) (PI)) x) x)) 1) (* (* tau tau) -1/6) (* (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* (PI) x)) (* (* (* x x) (PI)) tau)) (sin (* (PI) x)) (/ (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (neg x)) (/ (/ (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (neg x)) (* tau (PI))) (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (/ (sin (* x (PI))) (neg (PI))) (* (* tau x) (PI)) (sin (* (* tau x) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (PI) (PI)) (* (* x x) (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (sin (* tau (* (PI) x))) (sin (* tau (* x (PI)))) (* tau (PI)))
5.0ms	tau	@	-inf	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* tau tau) -1/6) (* (* (* (PI) (PI)) x) x)) 1) (* (* tau tau) -1/6) (* (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* (PI) x)) (* (* (* x x) (PI)) tau)) (sin (* (PI) x)) (/ (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (neg x)) (/ (/ (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (neg x)) (* tau (PI))) (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (/ (sin (* x (PI))) (neg (PI))) (* (* tau x) (PI)) (sin (* (* tau x) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (PI) (PI)) (* (* x x) (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (sin (* tau (* (PI) x))) (sin (* tau (* x (PI)))) (* tau (PI)))
5.0ms	tau	@	inf	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* tau tau) -1/6) (* (* (* (PI) (PI)) x) x)) 1) (* (* tau tau) -1/6) (* (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* (PI) x)) (* (* (* x x) (PI)) tau)) (sin (* (PI) x)) (/ (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (neg x)) (/ (/ (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (neg x)) (* tau (PI))) (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (/ (sin (* x (PI))) (neg (PI))) (* (* tau x) (PI)) (sin (* (* tau x) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (PI) (PI)) (* (* x x) (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (sin (* tau (* (PI) x))) (sin (* tau (* x (PI)))) (* tau (PI)))
4.0ms	tau	@	0	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (* (* tau x) (PI))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* tau tau) -1/6) (* (* (* (PI) (PI)) x) x)) 1) (* (* tau tau) -1/6) (* (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/ (sin (* (PI) x)) (* (* (* x x) (PI)) tau)) (sin (* (PI) x)) (/ (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (neg x)) (/ (/ (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (neg x)) (* tau (PI))) (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (/ (sin (* x (PI))) (neg (PI))) (* (* tau x) (PI)) (sin (* (* tau x) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (PI) (PI)) (* (* x x) (PI)) (/ (sin (* tau (* (PI) x))) (PI)) (sin (* tau (* (PI) x))) (sin (* tau (* x (PI)))) (* tau (PI)))

simplify213.0ms (2.5%)

Memory

17.4MiB live, 131.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	490	2452
1	1883	2348
2	5825	2343
0	8192	2202

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 88

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

rewrite205.0ms (2.4%)

Memory

-2.2MiB live, 225.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	385
0	107	383
1	301	359
2	1333	356
0	8437	353

Stop Event

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

Counts

29 → 1 257

Calls

Call 1

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

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

eval346.0ms (4%)

Memory: 34.2MiB live, 501.9MiB allocated
Compiler: Compiled 76 689 to 7 600 computations (90.1% saved)

prune194.0ms (2.2%)

Memory

-40.1MiB live, 341.1MiB allocated

Pruning

88 alts after pruning (83 fresh and 5 done)

	Pruned	Kept	Total
New	2 129	40	2 169
Fresh	20	43	63
Picked	3	2	5
Done	1	3	4
Total	2 153	88	2 241

Accuracy

99.9%

Counts

2 241 → 88

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 x (.f32 tau x)))) (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 (PI.f32) x)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (PI.f32)))
	95.6%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (exp.f32 (log.f32 (PI.f32)))))) x)) (neg.f32 x)) (*.f32 tau (PI.f32)))
	70.0%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (neg.f32 x)) (.f32 tau (PI.f32)))
	96.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) (PI.f32))) (*.f32 tau (PI.f32)))
	82.5%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (neg (PI))) (.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (neg.f32 x)) (.f32 tau (PI.f32)))
	70.0%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (neg (PI))) (neg.f32 x)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x)) (neg.f32 x)) (*.f32 tau (PI.f32)))
	63.1%	(/.f32 (/.f32 #s(approx (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (neg.f32 x)) (*.f32 tau (PI.f32)))
	63.8%	(/.f32 (/.f32 #s(approx (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (.f32 (neg.f32 tau) (sin.f32 (.f32 (PI.f32) x)))) (neg.f32 x)) (*.f32 tau (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 x x) (PI.f32)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 tau (PI.f32)))
	95.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) (.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	95.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
	96.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (*.f32 tau x) (PI.f32)))
	93.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (/.f32 (-.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (sinh.f32 (log.f32 (PI.f32))) (sinh.f32 (log.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32))))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (*.f32 tau x) (PI.f32)))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (*.f32 tau x) (PI.f32)))
	94.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))))) (.f32 (.f32 tau x) (PI.f32)))
	95.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (exp.f32 (log.f32 (PI.f32)))))) (.f32 (*.f32 tau x) (PI.f32)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) x)) (*.f32 tau (PI.f32)))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) x) (*.f32 x (PI.f32))))
	69.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) tau))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) x) (.f32 (neg.f32 tau) (PI.f32))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 tau (PI.f32))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 x (.f32 tau x)) (neg.f32 (PI.f32)))))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32)))))
	96.4%	(/.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 3 binary32)) x)))) (*.f32 (PI.f32) x))
	70.2%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (sqrt (PI)) x)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) tau))
	28.0%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (*.f32 tau x) (PI.f32)))
	70.2%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	63.8%	(/.f32 #s(approx (/ (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (neg x)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 tau x))) (*.f32 tau (PI.f32)))
	63.7%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (/.f32 tau (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
	4.1%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	15.4%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 (sin.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (PI.f32))) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	15.1%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	4.1%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	62.9%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
	62.9%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 #s(approx ( (sin (* (PI) x)) (/ tau x)) (.f32 (PI.f32) tau)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
	63.0%	(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau x) (PI.f32)))
	63.7%	(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
	96.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (.f32 x x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 (.f32 tau (.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))))) (PI.f32)))
	95.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 x x) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
	95.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (cbrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (*.f32 x x) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)))))
	94.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (PI.f32)))) x))) (PI.f32)))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) (PI.f32)))
	63.8%	(.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)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
	70.0%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	10.5%	(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	9.7%	(.f32 (sin.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (PI.f32))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	63.7%	(.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	97.5%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (.f32 (.f32 tau (*.f32 x (PI.f32))) x)))
	63.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (.f32 tau x) (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
✓	97.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x)))
	32.2%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
✓	63.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	96.6%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) x) x)) (*.f32 (sqrt.f32 (PI.f32)) tau)))
	11.7%	(.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	11.5%	(.f32 (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	12.2%	(.f32 (cos.f32 (fma.f32 (neg.f32 x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	10.0%	(.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	28.6%	(.f32 #s(approx (/ (sin ( (* (sqrt (PI)) x) (sqrt (PI)))) (* (* 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))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	69.8%	(.f32 #s(approx (/ (sin ( (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	96.4%	(.f32 #s(approx (/ (sin ( (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	96.1%	(.f32 #s(approx (/ (sin ( (* (sqrt (PI)) x) (sqrt (PI)))) (* (* 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 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) (PI.f32)))
	63.7%	(.f32 #s(approx (/ (sin ( (* (sqrt (PI)) x) (sqrt (PI)))) (* (* 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)))
	26.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	25.8%	(.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))))
	6.7%	(.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 (cos.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 x (PI.f32))))
	5.1%	(.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 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	63.2%	(.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 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	63.2%	(.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))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	77.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.5%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* (* tau tau) -1/6) (* (* (* (PI) (PI)) x) x)) 1) (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	4.2%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (pow.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32)) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	70.1%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x)))
	62.9%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
	63.0%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	69.8%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau (.f32 x x))) (*.f32 (PI.f32) (PI.f32)))))
	63.0%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))))
✓	63.1%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	96.8%	#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))))
✓	63.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
	63.9%	#s(approx (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))

Compiler

Compiled 7 140 to 2 290 computations (67.9% saved)

regimes204.0ms (2.4%)

Memory

6.2MiB live, 398.9MiB allocated

Counts

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

Calls

4 calls:

53.0ms	(.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))))
48.0ms	x
48.0ms	(*.f32 x (PI.f32))
47.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes153.0ms (1.8%)

Memory

14.0MiB live, 209.2MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

64.0ms	(*.f32 x (PI.f32))
33.0ms	tau
26.0ms	x
26.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes111.0ms (1.3%)

Memory

2.0MiB live, 157.3MiB allocated

Counts

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

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

Calls

4 calls:

39.0ms	x
27.0ms	(*.f32 x (PI.f32))
22.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
21.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes96.0ms (1.1%)

Memory

-1.0MiB live, 158.0MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

33.0ms	(.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))))
20.0ms	x
20.0ms	(*.f32 x (PI.f32))
20.0ms	tau

Results

Accuracy	Segments	Branch
82.5%	1	`x`
82.5%	1	`(*.f32 x (PI.f32))`
82.5%	1	`tau`
82.5%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes70.0ms (0.8%)

Memory

7.5MiB live, 132.7MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

18.0ms	x
17.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
17.0ms	(*.f32 x (PI.f32))
15.0ms	tau

Results

Accuracy	Segments	Branch
70.2%	1	`x`
70.2%	1	`(*.f32 x (PI.f32))`
70.2%	1	`tau`
70.2%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes60.0ms (0.7%)

Memory

-27.7MiB live, 97.7MiB allocated

Counts

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

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

18.0ms	(*.f32 x (PI.f32))
14.0ms	x
14.0ms	tau
11.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
70.2%	1	`x`
70.2%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
70.2%	1	`(*.f32 x (PI.f32))`
70.2%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes50.0ms (0.6%)

Memory

11.7MiB live, 87.7MiB 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)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (neg.f32 x)) (*.f32 tau (PI.f32)))
(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))))
(.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))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.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 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 #s(approx ( (sin (* (PI) x)) (/ tau x)) (.f32 (PI.f32) tau)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (.f32 (.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (/.f32 tau x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) tau))
#s(approx (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (sin ( (PI) x)) (.f32 (pow.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32)) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 (sin.f32 (+.f32 (fma.f32 x (PI.f32) (PI.f32)) (PI.f32))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* tau x) (PI)))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 tau x))) (*.f32 tau (PI.f32)))
(/.f32 #s(approx (/ (* (/ (sin (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (neg x)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 tau x))) (*.f32 tau (PI.f32)))
(.f32 (cos.f32 (fma.f32 (neg.f32 x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* (sqrt (PI)) x) (sqrt (PI)))) (* (* 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 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.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 (* x (PI))) (neg (PI))) (/ (sin (* tau (* x (PI)))) x)) (.f32 (neg.f32 tau) (sin.f32 (.f32 (PI.f32) x)))) (neg.f32 x)) (*.f32 tau (PI.f32)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
(.f32 #s(approx (/ (sin ( (* (sqrt (PI)) x) (sqrt (PI)))) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))))
(.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* (* tau tau) -1/6) (* (* (* (PI) (PI)) x) x)) 1) (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau (.f32 x x))) (*.f32 (PI.f32) (PI.f32)))))
(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin ( (PI) x)) (.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 #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 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (.f32 tau x) (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.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 #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))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
70.1%	1	`x`
70.1%	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))))`
70.1%	1	`(*.f32 x (PI.f32))`
70.1%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes42.0ms (0.5%)

Memory

19.9MiB live, 103.1MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	(*.f32 x (PI.f32))
10.0ms	x
9.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms	tau

Results

Accuracy	Segments	Branch
69.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
69.8%	1	`x`
69.8%	1	`(*.f32 x (PI.f32))`
69.8%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes33.0ms (0.4%)

Memory

-4.2MiB live, 73.8MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
63.9%	1	`x`
63.9%	1	`(*.f32 x (PI.f32))`
63.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
63.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes17.0ms (0.2%)

Memory

-11.0MiB live, 32.3MiB allocated

Accuracy

Total -0.2b remaining (-1.8%)

Threshold costs -0.2b (-1.8%)

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
63.2%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
63.2%	1	`tau`
63.2%	1	`x`
63.2%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify61.0ms (0.7%)

Memory

-1.8MiB live, 37.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	288
1	136	288
2	276	288
3	667	288
4	1288	288
5	2327	288
6	4319	288
7	7042	288
8	7394	288

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.5s (17.4%)

Memory

7.9MiB live, 830.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	2151
1	1912	2063
2	5693	2063
0	8558	1930
0	196	743
1	717	721
2	3469	697
0	8248	646
0	36	242
0	60	238
1	203	238
2	1090	225
3	6903	225
0	8186	225
0	63	385
0	107	383
1	301	359
2	1333	356
0	8437	353
0	525	2330
1	1965	2240
2	5838	2240
0	8180	2099
0	49	336
0	87	324
1	210	316
2	995	303
3	7487	303
0	8019	303
0	490	2452
1	1883	2348
2	5825	2343
0	8192	2202
0	10	55
0	18	55
1	54	55
2	349	53
3	3602	53
0	9348	53

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×	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

Compiler

Compiled 752 to 305 computations (59.4% saved)

preprocess110.0ms (1.3%)

Memory

-23.8MiB live, 72.5MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 954 to 336 computations (64.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze22.0ms (0.3%)

sample1.4s (16.3%)

explain146.0ms (1.7%)

preprocess135.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify112.0ms (1.3%)

localize32.0ms (0.4%)

series29.0ms (0.3%)

simplify220.0ms (2.5%)

rewrite162.0ms (1.9%)

eval113.0ms (1.3%)

prune58.0ms (0.7%)

simplify129.0ms (1.5%)

localize100.0ms (1.2%)

series49.0ms (0.6%)

simplify180.0ms (2.1%)

rewrite184.0ms (2.1%)

eval248.0ms (2.9%)

prune401.0ms (4.6%)

simplify122.0ms (1.4%)

localize141.0ms (1.6%)

series50.0ms (0.6%)

simplify163.0ms (1.9%)

rewrite201.0ms (2.3%)

eval283.0ms (3.3%)

prune151.0ms (1.7%)

simplify88.0ms (1%)

localize211.0ms (2.4%)

series47.0ms (0.5%)

simplify213.0ms (2.5%)

rewrite205.0ms (2.4%)

eval346.0ms (4%)

prune194.0ms (2.2%)

regimes204.0ms (2.4%)

regimes153.0ms (1.8%)

regimes111.0ms (1.3%)

regimes96.0ms (1.1%)

regimes70.0ms (0.8%)

regimes60.0ms (0.7%)

regimes50.0ms (0.6%)

regimes42.0ms (0.5%)

regimes33.0ms (0.4%)

regimes17.0ms (0.2%)

simplify61.0ms (0.7%)

soundness1.5s (17.4%)

preprocess110.0ms (1.3%)

end0.0ms (0%)

Profiling