Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze20.0ms (0.3%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.7s (27.3%)

Memory

35.5MiB live, 2 186.6MiB allocated; 371ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 209.0ms (20.7% of total)

ival-sinu: 151.0ms (14.9% of total)

const: 142.0ms (14.1% of total)

ival-<=: 138.0ms (13.7% of total)

ival-sin: 130.0ms (12.9% of total)

ival-div: 114.0ms (11.3% of total)

ival-pi: 89.0ms (8.8% of total)

ival-and: 22.0ms (2.2% of total)

exact: 8.0ms (0.8% of total)

adjust: 3.0ms (0.3% of total)

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

Bogosity

explain164.0ms (2.7%)

Memory

-24.3MiB live, 154.9MiB allocated; 65ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.48460260033607483 2.0260472297668457)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(sin.f32 (*.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	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	1
-	0	0	255

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

61.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 20.0ms (42.2% of total)

ival-sin: 11.0ms (23.2% of total)

ival-sinu: 8.0ms (16.9% of total)

ival-div: 6.0ms (12.7% of total)

ival-pi: 2.0ms (4.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess134.0ms (2.2%)

Memory

14.8MiB live, 106.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	123
1	78	123
2	362	107
3	1859	107
4	4136	107
5	6122	107
6	7086	107
0	10	21
0	18	21
1	31	21
2	88	21
3	295	21
4	692	21
5	1137	21
6	1748	21
7	3844	21
8	7458	21
9	7574	21
10	7772	21
0	8015	21

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(.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))))

Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify110.0ms (1.8%)

Memory

-41.0MiB live, 58.2MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize32.0ms (0.5%)

Memory

0.5MiB live, 46.3MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.31271131062715135	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.34765625	(*.f32 x (PI.f32))
accuracy	0.4114837890737681	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.43005756837909415	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

23.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 4.0ms (24.6% of total)

ival-sinu: 4.0ms (24.6% of total)

ival-sin: 4.0ms (24.6% of total)

ival-div: 3.0ms (18.5% of total)

ival-pi: 1.0ms (6.2% of total)

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

adjust: 0.0ms (0% of total)

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

series26.0ms (0.4%)

Memory

39.7MiB live, 39.7MiB allocated; 0ms collecting garbage

Counts

6 → 27

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
5.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
4.0ms	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)))

simplify172.0ms (2.8%)

Memory

-19.8MiB live, 211.0MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	743
1	717	721
2	3503	697
0	8084	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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal 1/36 binary32) tau) tau (fma.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32))) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))) (.f32 x x))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(+ 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 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* 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))

rewrite135.0ms (2.2%)

Memory

23.8MiB live, 123.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	55
0	18	55
1	54	55
2	349	53
0	3634	53

Stop Event

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

Counts

6 → 325

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

eval75.0ms (1.2%)

Memory: -24.8MiB live, 63.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 12 253 to 1 456 computations (88.1% saved)

prune39.0ms (0.6%)

Memory

0.8MiB live, 60.7MiB allocated; 13ms collecting garbage

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	445	32	477
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	446	32	478

Accuracy

99.9%

Counts

478 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.8%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) x) (*.f32 (neg.f32 tau) (PI.f32)))
▶	97.5%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) (.f32 tau x))
	68.1%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
	78.0%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	79.9%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (neg.f32 x)) (PI.f32)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.3%	(/.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)))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x)))) (PI.f32))
	79.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau)))
▶	98.0%	(/.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))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
▶	79.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.3%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.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))))
	86.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.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))))
	97.4%	(.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)))
▶	97.8%	(.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)))
	79.4%	(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.2%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	64.8%	(.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))))
	97.7%	(.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)))
	80.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	85.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal 1/36 binary32) tau) tau (fma.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
	79.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	80.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
	97.0%	#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))))
▶	63.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 666 to 918 computations (44.9% saved)

simplify103.0ms (1.7%)

Memory

-1.1MiB live, 135.4MiB allocated; 10ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	324
0	64	318
1	148	318
2	404	318
3	1193	318
4	2878	318
5	7681	318
0	8055	317

Stop Event

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

Calls

Call 1

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

Outputs
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau x)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (sin.f32 (.f32 (*.f32 tau (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 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) tau) (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 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (*.f32 x (PI.f32))) tau)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 tau (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 tau (.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))) (.f32 tau x)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.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 tau (.f32 (PI.f32) x))
(.f32 (.f32 tau (PI.f32)) x)
tau
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (*.f32 x (PI.f32)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau x)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)))
(/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (*.f32 x (PI.f32))) tau)
(sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))
(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
(fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))
(*.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))
(fma.f32 tau x #s(literal 1 binary32))
tau
x
#s(literal 1 binary32)
(PI.f32)
(.f32 (.f32 x (PI.f32)) tau)
(.f32 (.f32 tau (PI.f32)) x)
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) (.f32 tau x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau x)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (*.f32 x (PI.f32)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 tau (PI.f32)) x)
tau
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 tau x)

localize98.0ms (1.6%)

Memory

-9.3MiB live, 137.6MiB allocated; 7ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.34765625	(*.f32 (PI.f32) x)
accuracy	0.3671875	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32))
accuracy	0.36947250976844204	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
accuracy	0.370136279305326	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.34765625	(*.f32 x (PI.f32))
accuracy	0.4114837890737681	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.43005756837909415	(/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))
accuracy	5.999044777318781	(sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))
accuracy	0.3248825195368841	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.34765625	(*.f32 (PI.f32) x)
accuracy	0.370136279305326	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.4030075195368841	(.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)))
accuracy	11.553019064893794	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.31271131062715135	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.34765625	(*.f32 (PI.f32) x)
accuracy	0.43005756837909415	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4310150390737681	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))

Samples

76.0ms

256×

valid

Compiler

Compiled 333 to 32 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-sin: 18.0ms (34% of total)

ival-mult: 16.0ms (30.2% of total)

ival-div: 11.0ms (20.8% of total)

ival-sinu: 4.0ms (7.5% of total)

ival-add: 2.0ms (3.8% of total)

ival-pi: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.9%)

Memory

32.5MiB live, 78.2MiB allocated; 3ms collecting garbage

Counts

19 → 96

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (PI)) (* tau x)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (PI)) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
8.0ms	tau	@	-inf	((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (PI)) (* tau x)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (PI)) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
7.0ms	x	@	inf	((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (PI)) (* tau x)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (PI)) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
6.0ms	tau	@	inf	((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (PI)) (* tau x)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (PI)) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
6.0ms	x	@	0	((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (PI)) (* tau x)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (PI)) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))

simplify186.0ms (3%)

Memory

-13.8MiB live, 131.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	588	2830
1	2281	2662
2	7265	2523
0	8448	2349

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite64.0ms (1%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	243
0	64	243
1	231	243
0	1317	239

Stop Event

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

Counts

19 → 501

Calls

Call 1

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

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

eval62.0ms (1%)

Memory: -6.6MiB live, 39.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 14 980 to 1 729 computations (88.5% saved)

prune58.0ms (0.9%)

Memory

-5.6MiB live, 44.9MiB allocated; 5ms collecting garbage

Pruning

48 alts after pruning (46 fresh and 2 done)

	Pruned	Kept	Total
New	471	35	506
Fresh	16	11	27
Picked	3	2	5
Done	0	0	0
Total	490	48	538

Accuracy

99.9%

Counts

538 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (PI.f32))) (*.f32 tau x))
	63.8%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (*.f32 tau x))
	64.7%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (PI.f32)) (*.f32 tau x))
	68.1%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
	79.9%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (neg.f32 x)) (PI.f32)))
	77.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) tau) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	78.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
▶	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	78.0%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (neg.f32 tau) (.f32 x (PI.f32)))))
	82.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.0%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (.f32 tau (PI.f32)) x)))
	79.8%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 tau (PI.f32)) x)))
	79.8%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.1%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (.f32 x (*.f32 x (PI.f32)))))
▶	80.9%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.1%	(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32)))))
✓	98.0%	(/.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))
	80.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)))) (.f32 (PI.f32) x))
	79.0%	(/.f32 #s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (.f32 x x) tau) x)) (.f32 tau x))
	64.6%	(/.f32 #s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (PI)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 tau (PI.f32)))) (*.f32 tau x))
	79.0%	(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	68.8%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #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))))
	81.3%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	75.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (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))))
▶	86.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (sin.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))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)))) (.f32 (PI.f32) x)))
	79.4%	(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.2%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	78.1%	(.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) (.f32 x (*.f32 x (PI.f32))))))
	97.2%	(.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))))
	80.5%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 0 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 x x)))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	80.5%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 #s(literal 0 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	64.8%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	85.9%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	71.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	79.8%	#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	79.4%	#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) x (.f32 (/.f32 (.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
▶	6.3%	#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
	79.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	97.0%	#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))))
✓	63.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 718 to 1 610 computations (40.8% saved)

simplify136.0ms (2.2%)

Memory

-6.6MiB live, 83.7MiB allocated; 9ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	383
0	94	366
1	209	364
2	617	364
3	2581	364
4	6839	362
0	8950	362

Stop Event

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

Calls

Call 1

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

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

localize158.0ms (2.6%)

Memory

18.1MiB live, 307.7MiB allocated; 28ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34765625	(*.f32 x (PI.f32))
accuracy	0.3515625	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (PI.f32)))
accuracy	0.37890625	(*.f32 tau (PI.f32))
accuracy	0.38509750976844204	(.f32 (.f32 x (PI.f32)) (PI.f32))
accuracy	0.34765625	(*.f32 x (PI.f32))
accuracy	0.4296875	(*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))
accuracy	0.43005756837909415	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
accuracy	5.308658779284182	(sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))
accuracy	0.34765625	(*.f32 x (PI.f32))
accuracy	0.43005756837909415	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	4.217739965551271	#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)))
accuracy	0.0	(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
accuracy	0.0	(PI.f32)
accuracy	0.34765625	(*.f32 (PI.f32) x)
accuracy	29.98349930377791	#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
accuracy	0.34765625	(*.f32 (PI.f32) x)
accuracy	0.36947250976844204	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
accuracy	0.370136279305326	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.38318256837909415	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))

Samples

114.0ms

256×

valid

Compiler

Compiled 362 to 48 computations (86.7% saved)

Precisions

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

ival-mult: 28.0ms (31.9% of total)

ival-sin: 22.0ms (25.1% of total)

ival-sinu: 15.0ms (17.1% of total)

ival-div: 13.0ms (14.8% of total)

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

const: 3.0ms (3.4% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.6%)

Memory

-19.3MiB live, 74.7MiB allocated; 8ms collecting garbage

Counts

26 → 104

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (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 (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (sin (* (+ (* tau x) 1) (PI))) (* (+ (* tau x) 1) (PI)) (/ (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (* x (PI)) (PI))) (* tau x)) (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (* x (PI)) (PI))) (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (sin (* (* tau (PI)) x)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* x (PI)) (* (* x (PI)) (PI)) (* tau (PI)))
7.0ms	tau	@	inf	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (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 (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (sin (* (+ (* tau x) 1) (PI))) (* (+ (* tau x) 1) (PI)) (/ (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (* x (PI)) (PI))) (* tau x)) (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (* x (PI)) (PI))) (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (sin (* (* tau (PI)) x)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* x (PI)) (* (* x (PI)) (PI)) (* tau (PI)))
7.0ms	x	@	-inf	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (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 (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (sin (* (+ (* tau x) 1) (PI))) (* (+ (* tau x) 1) (PI)) (/ (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (* x (PI)) (PI))) (* tau x)) (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (* x (PI)) (PI))) (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (sin (* (* tau (PI)) x)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* x (PI)) (* (* x (PI)) (PI)) (* tau (PI)))
6.0ms	tau	@	-inf	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (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 (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (sin (* (+ (* tau x) 1) (PI))) (* (+ (* tau x) 1) (PI)) (/ (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (* x (PI)) (PI))) (* tau x)) (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (* x (PI)) (PI))) (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (sin (* (* tau (PI)) x)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* x (PI)) (* (* x (PI)) (PI)) (* tau (PI)))
5.0ms	x	@	inf	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (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 (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (sin (* (+ (* tau x) 1) (PI))) (* (+ (* tau x) 1) (PI)) (/ (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (* x (PI)) (PI))) (* tau x)) (/ (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (* (* x (PI)) (PI))) (* (sin (* (* tau (PI)) x)) (sin (* x (PI)))) (sin (* (* tau (PI)) x)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* x (PI)) (* (* x (PI)) (PI)) (* tau (PI)))

simplify160.0ms (2.6%)

Memory

17.6MiB live, 236.6MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	657	2848
1	2651	2348
2	7549	2344
0	8079	2193

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 103

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))))))))))))))))
tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
(* x (+ (* -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)))))))))
0
(/ (sin (* 2 (PI))) (* tau (* x (PI))))
(/ (+ (* x (cos (* 2 (PI)))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (* -1/6 (/ (* (PI) (sin (* 2 (PI)))) tau)))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (* 2 (PI)))) tau)) (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (* 2 (PI)))))) (* -1/6 (* (pow (PI) 2) (cos (* 2 (PI)))))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(* x (PI))
(+ 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 (/ (sin (PI)) (* tau (* x (PI)))))
(/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (* tau (PI))))) x)
(/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))))) x)
(/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau))))))))) x)
(* x (* (PI) (sin (PI))))
(* x (+ (* tau (* x (* (pow (PI) 2) (cos (PI))))) (* (PI) (sin (PI)))))
(* x (+ (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 3) (sin (PI))))) (* -1/6 (* (pow (PI) 3) (sin (PI)))))))) (* (PI) (sin (PI)))))
(* x (+ (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 3) (sin (PI))))) (+ (* -1/6 (* (pow (PI) 3) (sin (PI)))) (* x (+ (* -1/6 (* tau (* (pow (PI) 4) (cos (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 4) (cos (PI)))))))))))) (* (PI) (sin (PI)))))
(sin (PI))
(+ (sin (PI)) (* tau (* x (* (PI) (cos (PI))))))
(+ (sin (PI)) (* x (+ (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI)))))) (* tau (* (PI) (cos (PI)))))))
(+ (sin (PI)) (* x (+ (* tau (* (PI) (cos (PI)))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (PI)))))))))))
(PI)
(+ (PI) (* tau (* x (PI))))
(* tau x)
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (* -1/6 (* (pow tau 3) (pow (PI) 2)))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (* 1/36 (* (pow tau 3) (pow (PI) 4)))))))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 6))) (+ (* -1/5040 (* tau (pow (PI) 6))) (* -1/5040 (* (pow tau 7) (pow (PI) 6))))))))))))))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(+ 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 (pow (PI) 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(sin (* tau (* x (PI))))
(/ (* (sin (* x (PI))) (sin (+ (PI) (* (PI) (+ 1 (* tau x)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(* -1 (/ (* (sin (* x (PI))) (sin (* (PI) (+ 1 (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* (sin (* x (PI))) (sin (* (PI) (+ 1 (* tau x)))))
(sin (* (PI) (+ 1 (* tau x))))
(* x (+ (* tau (PI)) (/ (PI) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (pow (PI) 2)))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (PI) x)))))
(+ (* -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))))))))))))
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))
(* 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)))))))))
(/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (/ (* tau (* (cos (* 2 (PI))) (sin (* x (PI))))) (* x (PI))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1/2 (* tau (* (sin (* 2 (PI))) (sin (* x (PI)))))) (/ (* (cos (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* tau (+ (* -1/2 (* (sin (* 2 (PI))) (sin (* x (PI))))) (* -1/6 (* tau (* x (* (PI) (* (cos (* 2 (PI))) (sin (* x (PI)))))))))) (/ (* (cos (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(+ 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 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)
(/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)
(/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)
(* (sin (PI)) (sin (* x (PI))))
(+ (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI))))))) (* (sin (PI)) (sin (* x (PI)))))
(+ (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI)))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))
(+ (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (* x (PI))))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (* (cos (PI)) (sin (* x (PI)))))))))) (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* (sin (PI)) (sin (* x (PI)))))
(+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))
(+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))
(/ (* tau (sin (* x (PI)))) (PI))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (PI))))
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (PI))))
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (PI))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* tau (PI))
(* tau (+ (* x (PI)) (/ (PI) tau)))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))

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

rewrite249.0ms (4.1%)

Memory

4.7MiB live, 283.6MiB allocated; 125ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	291
0	94	274
1	315	262
2	1821	260
0	8475	258

Stop Event

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

Counts

26 → 591

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (neg.f32 tau) x) (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (.f32 (.f32 (.f32 x tau) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) x) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 tau)) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))) (.f32 (*.f32 x tau) (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau)))
(.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 tau)) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))))
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(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32)))) (.f32 (*.f32 x tau) (PI.f32)))
(neg.f32 (/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32)))) (.f32 (.f32 x tau) (PI.f32))))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32)))) (.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)))
(neg.f32 (/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (neg.f32 (neg.f32 tau)) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (sin.f32 (.f32 (.f32 x tau) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (*.f32 x tau) (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) x))))
(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) x) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (PI.f32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) x)
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32)))) (neg.f32 (PI.f32)))
(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32)))) (.f32 (*.f32 (PI.f32) (PI.f32)) x))
(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (*.f32 (PI.f32) (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (neg.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal -2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 x (PI.f32)) (.f32 (.f32 x tau) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(-.f32 (/.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)))
(sin.f32 (.f32 (.f32 x tau) (PI.f32)))
(PI.f32)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (neg.f32 (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (PI.f32)))
(log.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (PI.f32)) (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (neg.f32 (PI.f32)))) (neg.f32 (neg.f32 (neg.f32 (PI.f32)))))
(*.f32 (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (neg.f32 (neg.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (fabs.f32 (.f32 (cbrt.f32 (PI.f32)) (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (.f32 (cbrt.f32 (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))
(/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 2/3 binary32))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(fabs.f32 (*.f32 (PI.f32) (PI.f32)))
(+.f32 (cosh.f32 (log.f32 (.f32 (PI.f32) (PI.f32)))) (sinh.f32 (log.f32 (.f32 (PI.f32) (PI.f32)))))
(+.f32 (cosh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 0 binary32)))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) #s(literal 0 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)) (neg.f32 x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) (neg.f32 (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (*.f32 x (PI.f32))))
(log.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)) x)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)) x))
(.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 x (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (neg.f32 x) (.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (PI.f32)))
(.f32 (.f32 (neg.f32 (PI.f32)) x) (PI.f32))
(.f32 (neg.f32 (PI.f32)) (.f32 x (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 x (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 x (PI.f32))))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32)))
(.f32 (.f32 x (PI.f32)) (PI.f32))
(.f32 x (.f32 (PI.f32) (PI.f32)))
(.f32 (PI.f32) (.f32 (neg.f32 (PI.f32)) x))
(.f32 (PI.f32) (.f32 x (PI.f32)))
(neg.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) tau))
(.f32 (.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) tau))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) tau))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))

eval53.0ms (0.9%)

Memory: 34.7MiB live, 126.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 16 334 to 2 053 computations (87.4% saved)

prune62.0ms (1%)

Memory

-29.8MiB live, 163.7MiB allocated; 10ms collecting garbage

Pruning

66 alts after pruning (63 fresh and 3 done)

	Pruned	Kept	Total
New	495	40	535
Fresh	18	23	41
Picked	3	2	5
Done	1	1	2
Total	517	66	583

Accuracy

100.0%

Counts

583 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.8%	(/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (.f32 (.f32 x tau) (PI.f32)) (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (PI.f32))) (*.f32 tau x))
	78.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 tau x))
	63.8%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (*.f32 tau x))
	64.7%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (PI.f32)) (*.f32 tau x))
	78.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) tau) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	96.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)))) (.f32 tau (.f32 (PI.f32) x)))
▶	82.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.0%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (neg.f32 tau) (.f32 x (PI.f32)))))
	79.9%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	79.9%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.8%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 tau (PI.f32)) x)))
	79.8%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.0%	(/.f32 (.f32 (sin.f32 (+.f32 (neg.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	70.3%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))
	78.1%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (.f32 x (*.f32 x (PI.f32)))))
✓	80.9%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32)))))
	80.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)))) (.f32 (PI.f32) x))
	97.4%	(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	84.9%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.3%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (*.f32 x tau) (PI.f32)))
	64.7%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 (PI.f32) x)))
	63.7%	(/.f32 #s(approx (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (.f32 (fma.f32 (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	63.7%	(/.f32 #s(approx (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (.f32 (fma.f32 (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) tau) x #s(literal 0 binary32)) x)) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.0%	(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
	67.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (.f32 (PI.f32) tau)) x) #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))))
	67.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) x) (.f32 (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))))
	70.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (.f32 x (PI.f32))) (neg.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))))
▶	86.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x tau)) (PI.f32)) #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))))
	86.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (PI.f32)) (.f32 x 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))))
	85.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x) (.f32 (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))))
	85.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (.f32 x (PI.f32))) #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))))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	68.8%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #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))))
	81.3%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	67.8%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) #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))))
	67.8%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (neg.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x))) #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))))
	70.3%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) #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))))
	85.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.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))))
	85.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) tau) x)) #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))))
	86.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) #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))))
	97.3%	(.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))))
▶	85.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.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))))
▶	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) #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))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
	83.2%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	78.1%	(.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) (.f32 x (*.f32 x (PI.f32))))))
	97.5%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (*.f32 x tau)))
	97.2%	(.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))))
	70.3%	(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))) #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))))
	80.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) #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))))
	85.9%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	71.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	80.0%	(neg.f32 (/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32)))) (.f32 (.f32 x tau) (PI.f32))))
	79.8%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	64.6%	#s(approx (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 tau (PI.f32)) #s(literal 0 binary32)) x) tau))
	79.8%	#s(approx (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) (/.f32 x x)))
▶	6.3%	#s(approx (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
	79.4%	#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) x (.f32 (/.f32 (.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
	79.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
✓	63.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 3 799 to 2 315 computations (39.1% saved)

simplify183.0ms (3%)

Memory

33.8MiB live, 270.9MiB allocated; 16ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	395
0	81	393
1	158	392
2	524	392
3	1935	390
4	5484	390
0	8344	390

Stop Event

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

Calls

Call 1

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

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

localize218.0ms (3.6%)

Memory

-35.7MiB live, 198.7MiB allocated; 135ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.34765625	(*.f32 x (PI.f32))
accuracy	0.37890625	(*.f32 (PI.f32) tau)
accuracy	0.43005756837909415	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
accuracy	5.308658779284182	(sin.f32 (fma.f32 (*.f32 (PI.f32) tau) x (PI.f32)))
accuracy	0.3717575195368841	(.f32 (.f32 x tau) (PI.f32))
accuracy	0.38671875	(/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 x tau)) (PI.f32))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	4.217739965551271	#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)))
accuracy	0.3717575195368841	(.f32 (.f32 x tau) (PI.f32))
accuracy	0.43005756837909415	(/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	4.217739965551271	#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)))
accuracy	29.98349930377791	#s(approx (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
accuracy	0.34765625	(*.f32 x (PI.f32))
accuracy	0.3717575195368841	(.f32 (.f32 x tau) (PI.f32))
accuracy	0.4114837890737681	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.43005756837909415	(/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))

Samples

102.0ms

256×

valid

Compiler

Compiled 357 to 41 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 35.0ms (41.5% of total)

ival-sinu: 19.0ms (22.5% of total)

ival-sin: 11.0ms (13% of total)

ival-div: 10.0ms (11.9% of total)

const: 4.0ms (4.7% of total)

ival-add: 3.0ms (3.6% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.5%)

Memory

14.4MiB live, 61.0MiB allocated; 4ms collecting garbage

Counts

19 → 66

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	tau	@	inf	((* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x tau) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x tau) (PI))) (* (* x (PI)) tau)) (* (/ (/ (sin (* (* x tau) (PI))) (* x tau)) (PI)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* x tau) (PI))) (* x tau)) (PI)) (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (* (sin (+ (* (* (PI) tau) x) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (sin (+ (* (* (PI) tau) x) (PI))) (sin (* x (PI)))) (sin (+ (* (* (PI) tau) x) (PI))) (+ (* (* (PI) tau) x) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* (PI) tau))
5.0ms	x	@	-inf	((* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x tau) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x tau) (PI))) (* (* x (PI)) tau)) (* (/ (/ (sin (* (* x tau) (PI))) (* x tau)) (PI)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* x tau) (PI))) (* x tau)) (PI)) (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (* (sin (+ (* (* (PI) tau) x) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (sin (+ (* (* (PI) tau) x) (PI))) (sin (* x (PI)))) (sin (+ (* (* (PI) tau) x) (PI))) (+ (* (* (PI) tau) x) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* (PI) tau))
5.0ms	tau	@	-inf	((* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x tau) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x tau) (PI))) (* (* x (PI)) tau)) (* (/ (/ (sin (* (* x tau) (PI))) (* x tau)) (PI)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* x tau) (PI))) (* x tau)) (PI)) (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (* (sin (+ (* (* (PI) tau) x) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (sin (+ (* (* (PI) tau) x) (PI))) (sin (* x (PI)))) (sin (+ (* (* (PI) tau) x) (PI))) (+ (* (* (PI) tau) x) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* (PI) tau))
5.0ms	x	@	inf	((* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x tau) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x tau) (PI))) (* (* x (PI)) tau)) (* (/ (/ (sin (* (* x tau) (PI))) (* x tau)) (PI)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* x tau) (PI))) (* x tau)) (PI)) (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (* (sin (+ (* (* (PI) tau) x) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (sin (+ (* (* (PI) tau) x) (PI))) (sin (* x (PI)))) (sin (+ (* (* (PI) tau) x) (PI))) (+ (* (* (PI) tau) x) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* (PI) tau))
2.0ms	x	@	0	((* (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (PI))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x tau) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x tau) (PI))) (* (* x (PI)) tau)) (* (/ (/ (sin (* (* x tau) (PI))) (* x tau)) (PI)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* x tau) (PI))) (* x tau)) (PI)) (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (* (sin (+ (* (* (PI) tau) x) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (* (sin (+ (* (* (PI) tau) x) (PI))) (sin (* x (PI)))) (sin (+ (* (* (PI) tau) x) (PI))) (+ (* (* (PI) tau) x) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* (PI) tau))

simplify126.0ms (2%)

Memory

11.3MiB live, 243.2MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	417	1507
1	1683	1280
2	7265	1280
0	8161	1194

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 66

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

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

rewrite199.0ms (3.2%)

Memory

-7.6MiB live, 281.8MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	252
0	81	250
1	251	238
2	1640	238
0	8260	235

Stop Event

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

Counts

19 → 1 771

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (.f32 tau x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (neg.f32 (cbrt.f32 (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 (neg.f32 tau) x) (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 (neg.f32 tau) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (.f32 (neg.f32 tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (*.f32 tau x)) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (.f32 tau x)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 tau) x) (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 tau) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (neg.f32 tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (neg.f32 tau) x)) (/.f32 (sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (*.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 tau)) (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau x)) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (*.f32 (PI.f32) tau) x)) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (*.f32 (PI.f32) tau) x)) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 tau (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 tau x)) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 tau x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (.f32 (PI.f32) tau) x) (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (*.f32 (PI.f32) tau) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (.f32 (PI.f32) tau) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 (*.f32 (PI.f32) tau) x)) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) x) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (neg.f32 tau) x) (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (neg.f32 tau) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 (PI.f32) x)) x))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (.f32 tau x)) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (.f32 tau (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (.f32 tau (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 (PI.f32) x)) x) tau) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) tau) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 tau) x) (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 tau) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (*.f32 (neg.f32 tau) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (*.f32 (PI.f32) tau) x)) (neg.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (*.f32 (PI.f32) (neg.f32 tau))))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (.f32 tau x)) (.f32 (PI.f32) (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 (PI.f32) x)) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (*.f32 (neg.f32 tau) x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 (PI.f32) x)) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (neg.f32 tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 tau) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) 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 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) 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 (.f32 (PI.f32) tau) x)) (.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)) (*.f32 tau x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 tau) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) (neg.f32 tau))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau x)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 tau x)) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (*.f32 tau x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (.f32 (PI.f32) tau) 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 (PI.f32) x)) x) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) tau)))
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(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32))))))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)) (-.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))) (.f32 (-.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32)) (-.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))))
(/.f32 (fma.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32))) (.f32 (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32))) (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 tau x) #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32)) (fma.f32 tau x #s(literal -1 binary32)))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 tau x) #s(literal 3 binary32)) #s(literal -1 binary32)) (PI.f32)) (-.f32 (+.f32 (pow.f32 (.f32 tau x) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 tau x)))
(/.f32 (.f32 (PI.f32) (-.f32 (pow.f32 (.f32 tau x) #s(literal 2 binary32)) #s(literal 1 binary32))) (fma.f32 tau x #s(literal -1 binary32)))
(/.f32 (.f32 (PI.f32) (-.f32 (pow.f32 (.f32 tau x) #s(literal 3 binary32)) #s(literal -1 binary32))) (-.f32 (+.f32 (pow.f32 (.f32 tau x) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 tau x)))
(/.f32 (-.f32 (.f32 (PI.f32) (PI.f32)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32))) (-.f32 (PI.f32) (.f32 (*.f32 (PI.f32) tau) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (neg.f32 (-.f32 (.f32 (*.f32 (PI.f32) tau) x) (PI.f32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)) (.f32 (.f32 (*.f32 (PI.f32) tau) x) (PI.f32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (.f32 (*.f32 (PI.f32) tau) x) (PI.f32)))
(/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 3 binary32))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)) (.f32 (.f32 (*.f32 (PI.f32) tau) x) (PI.f32)))))
(/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 3 binary32))) (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32))))
(-.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x))) (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)) (-.f32 (PI.f32) (.f32 (*.f32 (PI.f32) tau) x))))
(-.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)) (-.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))) (/.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (*.f32 (PI.f32) tau) x) (PI.f32))))
(-.f32 (.f32 (.f32 (PI.f32) tau) x) (neg.f32 (PI.f32)))
(-.f32 (PI.f32) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x))
(fma.f32 (.f32 (.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (.f32 (.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau x)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau x)) (PI.f32))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)) (*.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)) (PI.f32))
(fma.f32 (.f32 (PI.f32) tau) x (.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (*.f32 (PI.f32) tau) x (PI.f32))
(fma.f32 #s(literal 1 binary32) (PI.f32) (.f32 (.f32 (PI.f32) tau) x))
(fma.f32 (.f32 tau x) (PI.f32) (.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(fma.f32 (.f32 (PI.f32) x) tau (.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))
(fma.f32 (PI.f32) (.f32 tau x) (.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 (PI.f32) (*.f32 tau x) (PI.f32))
(fma.f32 tau (.f32 (PI.f32) x) (.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 tau (*.f32 (PI.f32) x) (PI.f32))
(fma.f32 x (.f32 (PI.f32) tau) (.f32 #s(literal 1 binary32) (PI.f32)))
(fma.f32 x (*.f32 (PI.f32) tau) (PI.f32))
(+.f32 (.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (*.f32 (PI.f32) tau) x))
(+.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)) (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)))))
(+.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 #s(literal 1 binary32) (PI.f32)))
(+.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))
(+.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))) (neg.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))
(log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (neg.f32 (PI.f32))))
(log.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (PI.f32)) (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (neg.f32 (PI.f32)))) (neg.f32 (neg.f32 (neg.f32 (PI.f32)))))
(*.f32 (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (neg.f32 (neg.f32 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (fabs.f32 (.f32 (cbrt.f32 (PI.f32)) (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (.f32 (cbrt.f32 (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (PI.f32) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))
(pow.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 2/3 binary32))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(fabs.f32 (*.f32 (PI.f32) (PI.f32)))
(+.f32 (cosh.f32 (log.f32 (.f32 (PI.f32) (PI.f32)))) (sinh.f32 (log.f32 (.f32 (PI.f32) (PI.f32)))))
(+.f32 (cosh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 0 binary32)))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) #s(literal 0 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) tau))
(.f32 (.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) tau))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) tau))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))

eval117.0ms (1.9%)

Memory: 7.9MiB live, 195.0MiB allocated; 41ms collecting garbage
Compiler: Compiled 35 403 to 3 339 computations (90.6% saved)

prune91.0ms (1.5%)

Memory

0.3MiB live, 283.9MiB allocated; 17ms collecting garbage

Pruning

68 alts after pruning (62 fresh and 6 done)

	Pruned	Kept	Total
New	1 154	13	1 167
Fresh	9	49	58
Picked	1	4	5
Done	1	2	3
Total	1 165	68	1 233

Accuracy

100.0%

Counts

1 233 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.8%	(/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (.f32 (.f32 x tau) (PI.f32)) (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 tau x))
	78.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
	81.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x))))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) (*.f32 x (PI.f32))))
	96.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)))) (.f32 tau (.f32 (PI.f32) x)))
✓	82.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.0%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (neg.f32 tau) (.f32 x (PI.f32)))))
	79.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (PI.f32) tau) x)))
	79.9%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	79.9%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.8%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.3%	(/.f32 (.f32 (sin.f32 (-.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.0%	(/.f32 (.f32 (sin.f32 (+.f32 (neg.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	70.3%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))
	78.1%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (.f32 x (*.f32 x (PI.f32)))))
✓	80.9%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32)))))
	80.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)))) (.f32 (PI.f32) x))
	97.4%	(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	84.9%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.3%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (*.f32 (PI.f32) tau) x))
	86.3%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (*.f32 x tau) (PI.f32)))
	64.7%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 (PI.f32) x)))
	79.0%	(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
	85.6%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) tau) x) (PI.f32)) #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))))
	70.0%	(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (PI.f32))) (neg.f32 (.f32 (neg.f32 tau) x))) (PI.f32)) #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))))
	67.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (.f32 (PI.f32) tau)) x) #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))))
	67.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) x) (.f32 (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))))
	70.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (.f32 x (PI.f32))) (neg.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))))
	70.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (.f32 (neg.f32 tau) x)) (PI.f32)) #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))))
	85.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (PI.f32)) #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))))
	86.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (PI.f32)) (.f32 x 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))))
	85.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x) (.f32 (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))))
	85.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (.f32 x (PI.f32))) #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))))
	68.8%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #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))))
	81.3%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	67.8%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) #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))))
	67.8%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (neg.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x))) #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))))
	70.3%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) #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))))
	85.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.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))))
	85.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.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))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 (PI.f32) tau) x) (PI.f32))))
	85.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) tau) x)) #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))))
	86.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) #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))))
	97.3%	(.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))))
✓	85.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.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))))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) #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))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
	83.2%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	64.7%	(.f32 (/.f32 #s(approx (/ (sin ( (* x tau) (PI))) (* x tau)) (PI.f32)) (PI.f32)) #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))))
	78.1%	(.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) (.f32 x (*.f32 x (PI.f32))))))
	97.2%	(.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))))
	70.3%	(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))) #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))))
	80.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) #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))))
	85.9%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	71.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	80.0%	(neg.f32 (/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x (PI.f32)))) (.f32 (.f32 x tau) (PI.f32))))
	79.8%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	54.9%	#s(approx (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
	79.8%	#s(approx (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) (/.f32 x x)))
✓	6.3%	#s(approx (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) #s(literal 0 binary32))
	79.4%	#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) x (.f32 (/.f32 (.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
	79.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
✓	63.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 5 529 to 1 766 computations (68.1% saved)

regimes123.0ms (2%)

Memory

23.8MiB live, 213.9MiB allocated; 14ms collecting garbage

Counts

121 → 1

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	tau
29.0ms	x
29.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
29.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
98.0%	1	`(*.f32 x (PI.f32))`
98.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
98.0%	1	`x`
98.0%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes91.0ms (1.5%)

Memory

-15.2MiB live, 123.9MiB allocated; 21ms collecting garbage

Counts

80 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	x
23.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
22.0ms	(*.f32 x (PI.f32))
19.0ms	tau

Results

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

regimes89.0ms (1.5%)

Memory

-3.0MiB live, 145.4MiB allocated; 27ms collecting garbage

Counts

76 → 1

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	x
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))))
19.0ms	(*.f32 x (PI.f32))
18.0ms	tau

Results

Accuracy	Segments	Branch
97.7%	1	`(*.f32 x (PI.f32))`
97.7%	1	`x`
97.7%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.7%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes74.0ms (1.2%)

Memory

13.6MiB live, 104.3MiB allocated; 7ms collecting garbage

Counts

73 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	tau
19.0ms	(*.f32 x (PI.f32))
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))))
16.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes75.0ms (1.2%)

Memory

11.3MiB live, 102.7MiB allocated; 12ms collecting garbage

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

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

Calls

4 calls:

21.0ms	x
19.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
16.0ms	tau
16.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes66.0ms (1.1%)

Memory

-7.3MiB live, 82.0MiB allocated; 13ms collecting garbage

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

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

Calls

4 calls:

19.0ms	tau
18.0ms	(*.f32 x (PI.f32))
13.0ms	x
13.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes61.0ms (1%)

Memory

27.1MiB live, 80.4MiB allocated; 10ms collecting garbage

Counts

55 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
13.0ms	tau
13.0ms	x
13.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
97.2%	1	`(*.f32 x (PI.f32))`
97.2%	1	`x`
97.2%	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))))`
97.2%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes63.0ms (1%)

Memory

-8.4MiB live, 81.7MiB allocated; 12ms collecting garbage

Counts

54 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

17.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
13.0ms	tau
13.0ms	(*.f32 x (PI.f32))
12.0ms	x

Results

Accuracy	Segments	Branch
86.3%	1	`(*.f32 x (PI.f32))`
86.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
86.3%	1	`x`
86.3%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes27.0ms (0.4%)

Memory

-5.2MiB live, 41.6MiB allocated; 2ms collecting garbage

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

8.0ms	x
6.0ms	tau
6.0ms	(.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))))
6.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
80.9%	1	`tau`
80.9%	1	`(*.f32 x (PI.f32))`
80.9%	1	`x`
80.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes17.0ms (0.3%)

Memory

-29.4MiB live, 23.8MiB allocated; 4ms collecting garbage

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

Outputs

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

Calls

4 calls:

6.0ms	(.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))))
3.0ms	tau
3.0ms	x
3.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
79.8%	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))))`
79.8%	1	`(*.f32 x (PI.f32))`
79.8%	1	`x`
79.8%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Accuracy

Total -18.5b remaining (-159.9%)

Threshold costs -18.5b (-159.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (* (sin (* (+ (* tau x) 1) (PI))) (sin (* x (PI)))) (* (* (neg tau) (* x (PI))) (* x (PI)))) #s(literal 0 binary32))

#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))

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

Calls

4 calls:

1.0ms	(.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))))
1.0ms	tau
1.0ms	(*.f32 x (PI.f32))
1.0ms	x

Results

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

simplify46.0ms (0.7%)

Memory

0.1MiB live, 46.4MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	288
1	93	288
2	169	288
3	410	286
4	856	286
5	1524	286
6	4507	286

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations341.0ms (5.5%)

Memory

-5.9MiB live, 184.2MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 286 to 65 computations (77.3% saved)

preprocess38.0ms (0.6%)

Memory

23.5MiB live, 67.0MiB allocated; 8ms collecting garbage

Remove

(abs x)

(abs tau)

Compiler

Compiled 782 to 238 computations (69.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze20.0ms (0.3%)

sample1.7s (27.3%)

explain164.0ms (2.7%)

preprocess134.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify110.0ms (1.8%)

localize32.0ms (0.5%)

series26.0ms (0.4%)

simplify172.0ms (2.8%)

rewrite135.0ms (2.2%)

eval75.0ms (1.2%)

prune39.0ms (0.6%)

simplify103.0ms (1.7%)

localize98.0ms (1.6%)

series52.0ms (0.9%)

simplify186.0ms (3%)

rewrite64.0ms (1%)

eval62.0ms (1%)

prune58.0ms (0.9%)

simplify136.0ms (2.2%)

localize158.0ms (2.6%)

series39.0ms (0.6%)

simplify160.0ms (2.6%)

rewrite249.0ms (4.1%)

eval53.0ms (0.9%)

prune62.0ms (1%)

simplify183.0ms (3%)

localize218.0ms (3.6%)

series29.0ms (0.5%)

simplify126.0ms (2%)

rewrite199.0ms (3.2%)

eval117.0ms (1.9%)

prune91.0ms (1.5%)

regimes123.0ms (2%)

regimes91.0ms (1.5%)

regimes89.0ms (1.5%)

regimes74.0ms (1.2%)

regimes75.0ms (1.2%)

regimes66.0ms (1.1%)

regimes61.0ms (1%)

regimes63.0ms (1%)

regimes27.0ms (0.4%)

regimes17.0ms (0.3%)

regimes6.0ms (0.1%)

simplify46.0ms (0.7%)

derivations341.0ms (5.5%)

preprocess38.0ms (0.6%)

end0.0ms (0%)

Profiling