Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze29.0ms (0.4%)

Memory

-22.6MiB live, 21.2MiB allocated; 11ms 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)

sample1.5s (22.2%)

Memory

63.2MiB live, 1 570.8MiB allocated; 262ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

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

ival-mult: 240.0ms (23.7% of total)

const: 233.0ms (23% of total)

ival-sin: 159.0ms (15.7% of total)

ival-sinu: 125.0ms (12.3% of total)

ival-div: 94.0ms (9.3% of total)

ival-<=: 91.0ms (9% of total)

ival-pi: 35.0ms (3.5% of total)

ival-and: 23.0ms (2.3% 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

explain180.0ms (2.6%)

Memory

-16.8MiB live, 176.9MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
3	-	2	(0.6845496892929077 4.356927871704102)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
1	-	1	(0.9824643731117249 4.0694074630737305)	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f32`	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	1	2
-	0	253

Precision

1.0

Recall

0.3333333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	2
-	0	0	253

Precision?

1.0

Recall?

0.3333333333333333

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

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

ival-sinu: 29.0ms (54.4% of total)

ival-mult: 9.0ms (16.9% of total)

ival-sin: 7.0ms (13.1% of total)

ival-div: 6.0ms (11.3% of total)

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

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

adjust: 0.0ms (0% of total)

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

preprocess158.0ms (2.3%)

Memory

37.6MiB live, 116.3MiB allocated; 32ms 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(.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)

simplify117.0ms (1.7%)

Memory

-19.6MiB live, 44.1MiB allocated; 32ms 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))

localize41.0ms (0.6%)

Memory

-21.1MiB live, 27.9MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.34375	(*.f32 x (PI.f32))
accuracy	0.3658664785417175	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.38804628907376804	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.4153900390737681	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

34.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sin: 10.0ms (45.6% of total)

ival-mult: 4.0ms (18.2% of total)

ival-sinu: 4.0ms (18.2% of total)

ival-div: 3.0ms (13.7% of total)

ival-pi: 1.0ms (4.6% 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

21.1MiB live, 21.1MiB 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)))

simplify229.0ms (3.3%)

Memory

-20.0MiB live, 120.1MiB allocated; 15ms 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))

rewrite115.0ms (1.7%)

Memory

30.2MiB live, 77.4MiB allocated; 2ms 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)))

eval84.0ms (1.2%)

Memory: -38.9MiB live, 53.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 12 253 to 1 456 computations (88.1% saved)

prune39.0ms (0.6%)

Memory

-6.2MiB live, 46.6MiB allocated; 3ms collecting garbage

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	447	30	477
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	448	30	478

Accuracy

99.7%

Counts

478 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(/.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)))
	79.0%	(/.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)))
	80.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)))) (.f32 (cbrt.f32 (PI.f32)) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	97.3%	(/.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))
	81.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau)))
	97.5%	(/.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)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
▶	76.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
▶	97.6%	(/.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))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))) x)
	78.9%	(.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)))
	78.5%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	81.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (.f32 (cbrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32))))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))) (.f32 x (PI.f32))))
	93.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
	84.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	82.7%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	65.2%	(.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))))
	78.9%	(.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))))
	78.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
▶	64.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 582 to 900 computations (43.1% saved)

simplify101.0ms (1.4%)

Memory

17.6MiB live, 110.0MiB allocated; 7ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))
cost-diff	0	(sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)))
cost-diff	0	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
cost-diff	2	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
cost-diff	0	(fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))
cost-diff	0	(/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau))
cost-diff	2	(sin.f32 (fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32)))
cost-diff	2	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
cost-diff	0	(.f32 (.f32 tau (PI.f32)) x)
cost-diff	0	(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau))
cost-diff	2	(.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))))
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	2	(/.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: 2 (0.0ms)

Iter	Nodes	Cost
0	44	323
0	79	317
1	176	307
2	446	305
3	1387	305
4	3951	305
5	6501	305
0	8002	305

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

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

localize131.0ms (1.9%)

Memory

16.3MiB live, 206.6MiB allocated; 10ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.3974800293053261	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
accuracy	0.5084762695368841	(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
accuracy	5.491610875438301	(sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)))
accuracy	6.163152057870323	(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
accuracy	0.38804628907376804	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.4153186555914677	(fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))
accuracy	0.4153900390737681	(/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau))
accuracy	5.217822175740521	(sin.f32 (fma.f32 (*.f32 tau x) (neg.f32 (PI.f32)) (PI.f32)))
accuracy	0.3658664785417175	(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
accuracy	0.38804628907376804	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.390625	(*.f32 tau (PI.f32))
accuracy	0.4153900390737681	(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	11.405253829480499	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.34375	(*.f32 (PI.f32) x)
accuracy	0.3658664785417175	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4153900390737681	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4254875488422101	(/.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

104.0ms

256×

valid

Compiler

Compiled 335 to 40 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-sin: 33.0ms (37.9% of total)

ival-mult: 27.0ms (31% of total)

ival-div: 9.0ms (10.3% of total)

ival-sinu: 9.0ms (10.3% of total)

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

ival-pow2: 2.0ms (2.3% 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)

series72.0ms (1%)

Memory

-18.6MiB live, 77.1MiB allocated; 32ms collecting garbage

Counts

23 → 102

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

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

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	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 (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin (+ (* (* tau x) (neg (PI))) (PI))) (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (* tau x) (neg (PI))) (PI)) (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (+ (* (PI) x) (PI))) (pow (* (PI) x) 2))
10.0ms	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 (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin (+ (* (* tau x) (neg (PI))) (PI))) (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (* tau x) (neg (PI))) (PI)) (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (+ (* (PI) x) (PI))) (pow (* (PI) x) 2))
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 (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin (+ (* (* tau x) (neg (PI))) (PI))) (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (* tau x) (neg (PI))) (PI)) (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (+ (* (PI) x) (PI))) (pow (* (PI) x) 2))
8.0ms	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 (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin (+ (* (* tau x) (neg (PI))) (PI))) (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (* tau x) (neg (PI))) (PI)) (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (+ (* (PI) x) (PI))) (pow (* (PI) x) 2))
7.0ms	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 (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (sin (+ (* (* tau x) (neg (PI))) (PI))) (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (* tau x) (neg (PI))) (PI)) (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (+ (* (PI) x) (PI))) (pow (* (PI) x) 2))

simplify119.0ms (1.7%)

Memory

21.6MiB live, 162.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	606	2269
1	2481	1744
2	7404	1722
0	8068	1606

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 102

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

rewrite86.0ms (1.2%)

Memory

7.7MiB live, 132.0MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	250
0	79	246
1	279	236
0	1656	236

Stop Event

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

Counts

23 → 622

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

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

eval86.0ms (1.2%)

Memory: 5.4MiB live, 137.9MiB allocated; 48ms collecting garbage
Compiler: Compiled 13 201 to 1 686 computations (87.2% saved)

prune52.0ms (0.7%)

Memory

-0.8MiB live, 147.7MiB allocated; 13ms collecting garbage

Pruning

49 alts after pruning (47 fresh and 2 done)

	Pruned	Kept	Total
New	428	32	460
Fresh	10	15	25
Picked	3	2	5
Done	0	0	0
Total	441	49	490

Accuracy

99.7%

Counts

490 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.8%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32)))) (cos.f32 (+.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))))) #s(literal 2 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	79.0%	(/.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)))
▶	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) tau) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	81.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 tau (PI.f32)) x)))
▶	97.5%	(/.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)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	76.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) x) tau))
	76.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) x) (PI.f32)) tau))
	76.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
	76.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) tau))
	59.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	77.0%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	81.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (*.f32 x (PI.f32))))
	81.3%	(/.f32 (.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (*.f32 tau (PI.f32)) x))
	78.3%	(/.f32 (.f32 (sin.f32 (+.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	95.7%	(/.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))
	78.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (.f32 tau (PI.f32)) x) (.f32 (neg.f32 (PI.f32)) x)))
	81.3%	(/.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) x) (.f32 (neg.f32 (PI.f32)) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (*.f32 tau (PI.f32)) x) x))) (PI.f32))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))) x)
	78.4%	(/.f32 (.f32 (cos.f32 (+.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	54.1%	(/.f32 (.f32 #s(approx (sin (+ ( (* tau (PI)) x) (PI))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	93.3%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	65.2%	(/.f32 #s(approx (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	77.7%	(/.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))
	97.3%	(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)))) (*.f32 (PI.f32) x))
	78.9%	(.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)))
	78.5%	(.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))))
	81.4%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (neg.f32 (PI.f32)) tau) x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.8%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (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))))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32))))
	93.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
	84.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	96.9%	(.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))))
	84.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.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))))
▶	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	65.2%	(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	78.9%	(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.9%	(.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))))
	65.1%	#s(approx (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (/.f32 (fma.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 tau (.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
▶	6.3%	#s(approx (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) #s(literal 0 binary32))
	78.5%	#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)))
	78.5%	#s(approx (* (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (fma.f32 (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (.f32 tau tau) #s(literal 1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x)))
	78.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
✓	64.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 762 to 1 626 computations (41.1% saved)

simplify88.0ms (1.3%)

Memory

13.8MiB live, 153.1MiB allocated; 10ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) tau)
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) tau) (sin.f32 (.f32 (neg.f32 (PI.f32)) x)))
cost-diff	2	(.f32 (.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x))
cost-diff	2	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) tau) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
cost-diff	0	(.f32 (.f32 tau x) (PI.f32))
cost-diff	0	(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))
cost-diff	2	(.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))))
cost-diff	2	(/.f32 tau tau)
cost-diff	2	(.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 x x))
cost-diff	2	(fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32))
cost-diff	2	(.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau tau))
cost-diff	0	#s(approx (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) #s(literal 0 binary32))
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	2	(/.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: 2 (0.0ms)

Iter	Nodes	Cost
0	65	422
0	111	401
1	239	377
2	744	366
3	3670	366
0	8173	366

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

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

localize203.0ms (2.9%)

Memory

-1.0MiB live, 424.9MiB allocated; 60ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.390625	(*.f32 tau (PI.f32))
accuracy	0.40956884768442026	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) tau) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
accuracy	0.43359375	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) tau) (sin.f32 (.f32 (neg.f32 (PI.f32)) x)))
accuracy	0.5084762695368841	(.f32 (.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x))
accuracy	0.3658664785417175	(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
accuracy	0.37890625	(.f32 (.f32 tau x) (PI.f32))
accuracy	0.38804628907376804	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.4153900390737681	(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.390625	(*.f32 #s(literal 1/6 binary32) tau)
accuracy	0.40625	(.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 x x))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	6.524608086968556	#s(approx (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau tau)))
accuracy	29.980845918312724	#s(approx (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) #s(literal 0 binary32))
accuracy	0.34375	(*.f32 (PI.f32) x)
accuracy	0.3658664785417175	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.3671875	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.4238663086106521	(/.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

154.0ms

256×

valid

Compiler

Compiled 385 to 57 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-sin: 36.0ms (32.3% of total)

ival-mult: 35.0ms (31.4% of total)

ival-div: 16.0ms (14.4% of total)

ival-sinu: 8.0ms (7.2% of total)

ival-add: 6.0ms (5.4% of total)

const: 4.0ms (3.6% of total)

ival-neg: 2.0ms (1.8% of total)

ival-pow2: 2.0ms (1.8% of total)

ival-pi: 1.0ms (0.9% 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)

series50.0ms (0.7%)

Memory

26.6MiB live, 119.2MiB allocated; 6ms collecting garbage

Counts

23 → 90

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	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))) (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (* (+ (* (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) tau) 1) (/ tau tau)) (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) (* (neg (* (PI) (PI))) (* x x)) (/ tau tau) (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x)) (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (/ (sin (* (* tau (PI)) x)) tau) (* (PI) x) (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (* (PI) (PI)) (* 1/6 tau) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)))
10.0ms	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))) (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (* (+ (* (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) tau) 1) (/ tau tau)) (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) (* (neg (* (PI) (PI))) (* x x)) (/ tau tau) (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x)) (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (/ (sin (* (* tau (PI)) x)) tau) (* (PI) x) (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (* (PI) (PI)) (* 1/6 tau) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)))
8.0ms	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))) (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (* (+ (* (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) tau) 1) (/ tau tau)) (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) (* (neg (* (PI) (PI))) (* x x)) (/ tau tau) (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x)) (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (/ (sin (* (* tau (PI)) x)) tau) (* (PI) x) (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (* (PI) (PI)) (* 1/6 tau) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)))
8.0ms	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))) (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (* (+ (* (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) tau) 1) (/ tau tau)) (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) (* (neg (* (PI) (PI))) (* x x)) (/ tau tau) (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x)) (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (/ (sin (* (* tau (PI)) x)) tau) (* (PI) x) (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (* (PI) (PI)) (* 1/6 tau) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)))
7.0ms	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))) (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (* (+ (* (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) tau) 1) (/ tau tau)) (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) (* (neg (* (PI) (PI))) (* x x)) (/ tau tau) (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x)) (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (/ (sin (* (* tau (PI)) x)) tau) (* (PI) x) (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (* (PI) (PI)) (* 1/6 tau) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)))

simplify130.0ms (1.9%)

Memory

-23.9MiB live, 156.0MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	571	2584
1	2270	2266
0	8254	2122

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 89

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

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

rewrite33.0ms (0.5%)

Memory

39.3MiB live, 39.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	274
0	109	254
0	369	254

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

23 → 84

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

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

eval26.0ms (0.4%)

Memory: -7.5MiB live, 35.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 933 to 861 computations (87.6% saved)

prune112.0ms (1.6%)

Memory

-22.0MiB live, 93.2MiB allocated; 106ms collecting garbage

Pruning

56 alts after pruning (51 fresh and 5 done)

	Pruned	Kept	Total
New	153	16	169
Fresh	7	35	42
Picked	2	3	5
Done	0	2	2
Total	162	56	218

Accuracy

99.7%

Counts

218 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.8%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32)))) (cos.f32 (+.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))))) #s(literal 2 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
▶	81.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 tau (PI.f32)) x)))
✓	97.5%	(/.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)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	76.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) x) tau))
	76.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
	76.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) tau))
	59.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	77.0%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	81.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (*.f32 x (PI.f32))))
	81.3%	(/.f32 (.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (*.f32 tau (PI.f32)) x))
	78.3%	(/.f32 (.f32 (sin.f32 (+.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	95.7%	(/.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))
	78.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
▶	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 x (PI.f32))))
	81.3%	(/.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) x) (.f32 (neg.f32 (PI.f32)) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (*.f32 tau (PI.f32)) x) x))) (PI.f32))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))) x)
	78.4%	(/.f32 (.f32 (cos.f32 (+.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	65.2%	(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) tau) (.f32 (PI.f32) x)) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	78.7%	(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	54.1%	(/.f32 (.f32 #s(approx (sin (+ ( (* tau (PI)) x) (PI))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	93.3%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	65.2%	(/.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)))
	77.7%	(/.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))
	97.3%	(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)))) (*.f32 (PI.f32) x))
	78.9%	(.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)))
	78.5%	(.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))))
	81.4%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (neg.f32 (PI.f32)) tau) x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.8%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (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))))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32))))
	93.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
	84.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	96.9%	(.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))))
▶	84.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.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))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	79.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
✓	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (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))))
	62.2%	(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau tau))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
	79.4%	(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau 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))))
	78.9%	(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.9%	(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) #s(approx (* (+ (* (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) tau) 1) (/ tau tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32))) (.f32 x x) #s(literal 1 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.0%	(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) #s(approx (* (+ (* (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) tau) 1) (/ tau tau)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	78.5%	#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (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)))
▶	96.6%	#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (/.f32 (.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32)))))
	65.2%	#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (/.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (.f32 (neg.f32 x) (PI.f32))))
	65.1%	#s(approx (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (/.f32 (fma.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 tau (.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
✓	6.3%	#s(approx (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) #s(literal 0 binary32))
	78.5%	#s(approx (* (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (fma.f32 (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (.f32 tau tau) #s(literal 1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x)))
▶	78.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
✓	64.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 3 349 to 2 001 computations (40.3% saved)

simplify107.0ms (1.5%)

Memory

-0.0MiB live, 232.0MiB allocated; 20ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	479
0	119	475
1	277	475
2	956	471
3	4990	471
0	8242	471

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (2.5%)

Memory

27.3MiB live, 307.8MiB allocated; 29ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3974800293053261	(.f32 (neg.f32 (PI.f32)) (.f32 (*.f32 tau (PI.f32)) x))
accuracy	0.421875	(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
accuracy	0.4284363281475362	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 tau (PI.f32)) x)))
accuracy	5.491610875438301	(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
accuracy	0.34765625	(.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
accuracy	0.3658664785417175	(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
accuracy	0.3974800293053261	(/.f32 (.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
accuracy	1.0	(*.f32 (neg.f32 (PI.f32)) (PI.f32))
accuracy	0.390625	(.f32 #s(literal -1/6 binary32) (.f32 x x))
accuracy	0.4153900390737681	(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	4.702853482798503	#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)))
accuracy	0.10832877900649761	(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))
accuracy	0.296875	(.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	6.871021300108363	#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)))
accuracy	0.34765625	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 x (PI.f32))))
accuracy	0.3658664785417175	(sin.f32 (.f32 (.f32 (PI.f32) tau) x))
accuracy	0.390625	(*.f32 (PI.f32) tau)
accuracy	0.3974800293053261	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 x (PI.f32))))

Samples

130.0ms

256×

valid

Compiler

Compiled 428 to 62 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 49.0ms (46% of total)

ival-sin: 24.0ms (22.5% of total)

ival-div: 15.0ms (14.1% of total)

ival-sinu: 7.0ms (6.6% of total)

ival-add: 5.0ms (4.7% of total)

const: 4.0ms (3.8% of total)

ival-neg: 2.0ms (1.9% of total)

ival-pi: 1.0ms (0.9% 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)

series65.0ms (0.9%)

Memory

-10.1MiB live, 77.1MiB allocated; 21ms collecting garbage

Counts

29 → 113

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	tau	@	0	((/ (* (sin (* (* (PI) tau) x)) (sin (* x (PI)))) (* (* (* (PI) tau) x) (* x (PI)))) (* (sin (* (* (PI) tau) x)) (sin (* x (PI)))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (/ (* (sin (* (neg x) (PI))) (sin (* (* (PI) x) tau))) (* (* tau (* x x)) (* (neg (PI)) (PI)))) (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (* (sin (* (neg x) (PI))) (sin (* (* (PI) x) tau))) (sin (* (neg x) (PI))) (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (neg (PI)) (* (* tau (PI)) x))) (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (* (PI) tau) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* -1/6 (* x x)) (* (neg (PI)) (PI)) (sin (* (* (PI) x) tau)) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (PI)) (* (* tau (PI)) x)))
14.0ms	x	@	0	((/ (* (sin (* (* (PI) tau) x)) (sin (* x (PI)))) (* (* (* (PI) tau) x) (* x (PI)))) (* (sin (* (* (PI) tau) x)) (sin (* x (PI)))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (/ (* (sin (* (neg x) (PI))) (sin (* (* (PI) x) tau))) (* (* tau (* x x)) (* (neg (PI)) (PI)))) (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (* (sin (* (neg x) (PI))) (sin (* (* (PI) x) tau))) (sin (* (neg x) (PI))) (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (neg (PI)) (* (* tau (PI)) x))) (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (* (PI) tau) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* -1/6 (* x x)) (* (neg (PI)) (PI)) (sin (* (* (PI) x) tau)) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (PI)) (* (* tau (PI)) x)))
11.0ms	tau	@	inf	((/ (* (sin (* (* (PI) tau) x)) (sin (* x (PI)))) (* (* (* (PI) tau) x) (* x (PI)))) (* (sin (* (* (PI) tau) x)) (sin (* x (PI)))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (/ (* (sin (* (neg x) (PI))) (sin (* (* (PI) x) tau))) (* (* tau (* x x)) (* (neg (PI)) (PI)))) (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (* (sin (* (neg x) (PI))) (sin (* (* (PI) x) tau))) (sin (* (neg x) (PI))) (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (neg (PI)) (* (* tau (PI)) x))) (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (* (PI) tau) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* -1/6 (* x x)) (* (neg (PI)) (PI)) (sin (* (* (PI) x) tau)) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (PI)) (* (* tau (PI)) x)))
6.0ms	x	@	-inf	((/ (* (sin (* (* (PI) tau) x)) (sin (* x (PI)))) (* (* (* (PI) tau) x) (* x (PI)))) (* (sin (* (* (PI) tau) x)) (sin (* x (PI)))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (/ (* (sin (* (neg x) (PI))) (sin (* (* (PI) x) tau))) (* (* tau (* x x)) (* (neg (PI)) (PI)))) (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (* (sin (* (neg x) (PI))) (sin (* (* (PI) x) tau))) (sin (* (neg x) (PI))) (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (neg (PI)) (* (* tau (PI)) x))) (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (* (PI) tau) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* -1/6 (* x x)) (* (neg (PI)) (PI)) (sin (* (* (PI) x) tau)) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (PI)) (* (* tau (PI)) x)))
6.0ms	tau	@	-inf	((/ (* (sin (* (* (PI) tau) x)) (sin (* x (PI)))) (* (* (* (PI) tau) x) (* x (PI)))) (* (sin (* (* (PI) tau) x)) (sin (* x (PI)))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (/ (* (sin (* (neg x) (PI))) (sin (* (* (PI) x) tau))) (* (* tau (* x x)) (* (neg (PI)) (PI)))) (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (* (sin (* (neg x) (PI))) (sin (* (* (PI) x) tau))) (sin (* (neg x) (PI))) (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (neg (PI)) (* (* tau (PI)) x))) (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (/ (sin (* x (PI))) x) (sin (* x (PI))) (* (PI) tau) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* -1/6 (* x x)) (* (neg (PI)) (PI)) (sin (* (* (PI) x) tau)) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (PI)) (* (* tau (PI)) x)))

simplify194.0ms (2.8%)

Memory

-8.8MiB live, 324.4MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	625	2805
1	2569	2443
2	7726	2443
0	8011	2288

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 113

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

rewrite185.0ms (2.7%)

Memory

7.7MiB live, 281.4MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	359
0	119	354
1	393	334
2	2373	333
0	8922	329

Stop Event

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

Counts

29 → 1 089

Calls

Call 1

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

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

eval96.0ms (1.4%)

Memory: 24.4MiB live, 162.1MiB allocated; 33ms collecting garbage
Compiler: Compiled 33 052 to 3 336 computations (89.9% saved)

prune134.0ms (1.9%)

Memory

16.6MiB live, 255.4MiB allocated; 56ms collecting garbage

Pruning

72 alts after pruning (67 fresh and 5 done)

	Pruned	Kept	Total
New	808	47	855
Fresh	26	20	46
Picked	2	3	5
Done	3	2	5
Total	839	72	911

Accuracy

99.8%

Counts

911 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.3%	(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (neg.f32 x)) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 tau (PI.f32)) x)))
	84.4%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) x) (.f32 tau (PI.f32)))
	64.9%	(/.f32 (-.f32 (/.f32 (/.f32 (cos.f32 (.f32 x (-.f32 (neg.f32 (PI.f32)) (.f32 tau (PI.f32))))) #s(literal 2 binary32)) x) (/.f32 (/.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) #s(literal 2 binary32)) x)) (.f32 (neg.f32 (PI.f32)) (.f32 (*.f32 tau (PI.f32)) x)))
	77.0%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (neg.f32 x)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (neg.f32 (PI.f32)) (.f32 (*.f32 tau (PI.f32)) x)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	79.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (fma.f32 (sin.f32 (/.f32 (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 x tau) (PI.f32))) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32))))) (cos.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 x tau) (PI.f32))) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32))))) (.f32 (cos.f32 (/.f32 (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 x tau) (PI.f32))) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32))))) (sin.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (.f32 (.f32 x tau) (PI.f32))) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)))))))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 tau (PI.f32)) x)))
	81.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 tau (PI.f32))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (*.f32 x tau) (PI.f32)) (PI.f32)))
	76.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) x) tau))
	76.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau))
	76.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) tau))
	59.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	81.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (*.f32 x (PI.f32))))
	77.3%	(/.f32 (.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (neg.f32 (PI.f32)) x)))
✓	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 x (PI.f32))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 x (PI.f32)) tau) (.f32 x (PI.f32))))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 x (PI.f32))))
	93.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) #s(approx (sin ( x (PI))) (.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))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 x (PI.f32))))
	71.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 x (PI.f32))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 x (PI.f32))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 x (PI.f32))))
	81.3%	(/.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) x) (.f32 (neg.f32 (PI.f32)) x)))
	78.4%	(/.f32 (.f32 (cos.f32 (+.f32 (-.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	84.6%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (*.f32 x tau) (PI.f32)))
	59.6%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) x) (PI.f32)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 tau (PI.f32)) x)))
	54.1%	(/.f32 (.f32 #s(approx (sin (+ ( (* tau (PI)) x) (PI))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	64.2%	(/.f32 #s(approx (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) x) #s(literal 0 binary32))) (.f32 (neg.f32 (PI.f32)) (.f32 (*.f32 tau (PI.f32)) x)))
	77.7%	(/.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))
	97.3%	(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)))) (*.f32 (PI.f32) x))
	84.2%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) x) (PI.f32)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.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))))
	84.6%	(.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 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 tau (PI.f32))) x) #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))))
	84.5%	(.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 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x) (.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	78.9%	(.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)))
	81.4%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (neg.f32 (PI.f32)) tau) x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.8%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (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))))
	68.8%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (neg.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) 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))))
	93.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
	84.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	79.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (neg.f32 (PI.f32)) x))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (PI.f32)))
	97.6%	(.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))))
	84.8%	(.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 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x x) (PI.f32))))
	84.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
✓	84.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.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))))
	84.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (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))))
	84.6%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (*.f32 x tau) (PI.f32))))
	84.2%	(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 x tau) (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	79.4%	(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau 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))))
	78.9%	(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) #s(approx (* (+ (* (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) tau) 1) (/ tau tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32))) (.f32 x x) #s(literal 1 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.4%	(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* 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 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.1%	#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (neg.f32 (PI.f32)) (.f32 tau (PI.f32))))) (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32))))) #s(literal 2 binary32)) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32)))))
	66.8%	#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (/.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 tau (.f32 x x)) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))))
	79.0%	#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))))
	78.9%	#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))))
✓	96.6%	#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (/.f32 (.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32)))))
	71.0%	#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (/.f32 (.f32 #s(approx (sin ( (neg x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))))
	54.1%	#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) #s(approx (/ (* (sin (* (neg x) (PI))) (sin (* (* (PI) x) tau))) (* (* tau (* x x)) (* (neg (PI)) (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))))
	81.0%	#s(approx (/ (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (* (neg (PI)) (* (* tau (PI)) x))) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
✓	6.3%	#s(approx (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) #s(literal 0 binary32))
	78.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	78.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
	78.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) x)) x #s(literal 1 binary32)))
	78.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 x x) #s(literal 1 binary32)))
	70.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	65.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	70.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	96.6%	#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))))
	4.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
✓	64.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 6 590 to 2 092 computations (68.3% saved)

regimes135.0ms (1.9%)

Memory

-3.8MiB live, 183.0MiB allocated; 21ms collecting garbage

Counts

126 → 1

Calls

Call 1

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

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:

34.0ms	x
34.0ms	tau
31.0ms	(.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))))
30.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
97.6%	1	`(*.f32 x (PI.f32))`
97.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.6%	1	`x`
97.6%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes77.0ms (1.1%)

Memory

-0.6MiB live, 99.1MiB allocated; 7ms collecting garbage

Counts

74 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	tau
19.0ms	(*.f32 x (PI.f32))
17.0ms	x
17.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes85.0ms (1.2%)

Memory

13.1MiB live, 58.1MiB allocated; 5ms collecting garbage

Counts

58 → 1

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	x
14.0ms	tau
14.0ms	(*.f32 x (PI.f32))
14.0ms	(.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
97.2%	1	`(*.f32 x (PI.f32))`
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	`x`
97.2%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes61.0ms (0.9%)

Memory

-14.9MiB live, 78.5MiB allocated; 11ms 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 (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.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(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.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)))) (fma.f32 (.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #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 (* (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)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (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 #s(approx (* (/ (sin (* x (PI))) x) (sin (+ (* (* tau x) (PI)) (PI)))) (fma.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) x) #s(literal 0 binary32))) (.f32 (neg.f32 (PI.f32)) (.f32 (*.f32 tau (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (+ (* (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 (fma.f32 (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (.f32 tau tau) #s(literal 1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x)))
(.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (* 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 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau 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))))
#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) #s(approx (/ (* (sin (* (neg x) (PI))) (sin (* (* (PI) x) tau))) (* (* tau (* x x)) (* (neg (PI)) (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))))
#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (/.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (.f32 (neg.f32 x) (PI.f32))))
(/.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 x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) (/.f32 (fma.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 tau (.f32 (PI.f32) x)) #s(literal 0 binary32)) tau))
(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) x) (PI.f32)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 tau (PI.f32)) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) tau) (.f32 (PI.f32) x)) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
(/.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 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* tau (PI)) x)) tau) (sin (* (neg (PI)) x))) (* (* x (PI)) (* (neg (PI)) x))) (/.f32 (.f32 #s(approx (sin ( (neg x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))))
(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) #s(approx (* (+ (* (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) tau) 1) (/ tau tau)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))))) (/.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 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) #s(approx (* (+ (* (+ (* (* 1/6 tau) (* (neg (* (PI) (PI))) (* x x))) 0) tau) 1) (/ tau tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32))) (.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 tau x) (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 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.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 tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.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 (fma.f32 (.f32 tau x) (neg.f32 (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 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (.f32 x tau) (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x) (.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.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 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 tau (PI.f32))) x) #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 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x tau)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.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 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (neg.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) 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 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) x) (PI.f32)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin (+ ( (* tau x) (neg (PI))) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau tau))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 #s(approx (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(/.f32 (.f32 #s(approx (sin (+ ( (* tau (PI)) x) (PI))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (*.f32 x tau) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (*.f32 x tau) (PI.f32)))

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 #s(literal -1/6 binary32) (*.f32 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))))
15.0ms	tau
13.0ms	(*.f32 x (PI.f32))
13.0ms	x

Results

Accuracy	Segments	Branch
84.8%	1	`(*.f32 x (PI.f32))`
84.8%	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))))`
84.8%	1	`x`
84.8%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes57.0ms (0.8%)

Memory

-1.6MiB live, 44.4MiB allocated; 2ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

30.0ms	tau
8.0ms	x
8.0ms	(*.f32 x (PI.f32))
8.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
84.2%	1	`(*.f32 x (PI.f32))`
84.2%	1	`x`
84.2%	1	`tau`
84.2%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes34.0ms (0.5%)

Memory

-6.8MiB live, 38.5MiB allocated; 3ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
79.4%	1	`(*.f32 x (PI.f32))`
79.4%	1	`x`
79.4%	1	`tau`
79.4%	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))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes19.0ms (0.3%)

Memory

32.1MiB live, 32.1MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
79.4%	1	`(*.f32 x (PI.f32))`
79.4%	1	`x`
79.4%	1	`tau`
79.4%	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))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes22.0ms (0.3%)

Memory

-15.8MiB live, 28.3MiB allocated; 4ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

8.0ms	tau
4.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms	x
4.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
78.5%	1	`(*.f32 x (PI.f32))`
78.5%	1	`x`
78.5%	1	`tau`
78.5%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes11.0ms (0.2%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
78.5%	1	`(*.f32 x (PI.f32))`
78.5%	1	`x`
78.5%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
78.5%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes21.0ms (0.3%)

Memory

-45.7MiB live, 14.1MiB allocated; 14ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

13.0ms	x
2.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms	tau
2.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
70.3%	1	`(*.f32 x (PI.f32))`
70.3%	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))))`
70.3%	1	`x`
70.3%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes7.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.0%	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))))`
65.0%	1	`(*.f32 x (PI.f32))`
65.0%	1	`x`
65.0%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Accuracy

Total -18.6b remaining (-163.2%)

Threshold costs -18.6b (-163.2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (* (sin (+ (* (* tau (PI)) x) (PI))) (sin (+ (* (PI) x) (PI)))) (* (pow (* (PI) x) 2) tau)) #s(literal 0 binary32))

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

Results

Accuracy	Segments	Branch
64.4%	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))))`
64.4%	1	`tau`
64.4%	1	`(*.f32 x (PI.f32))`
64.4%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify47.0ms (0.7%)

Memory

-8.1MiB live, 37.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	418
1	145	418
2	323	416
3	931	416
4	3706	416

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

derivations1.5s (21.2%)

Memory

-89.9MiB live, 661.0MiB allocated; 1.1s collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	571	2584
1	2270	2266
0	8254	2122
0	625	2805
1	2569	2443
2	7726	2443
0	8011	2288
0	64	274
0	109	254
0	369	254
0	10	55
0	18	55
1	54	55
2	349	53
0	3634	53
0	196	743
1	717	721
2	3503	697
0	8084	646
0	67	359
0	119	354
1	393	334
2	2373	333
0	8922	329
0	606	2269
1	2481	1744
2	7404	1722
0	8068	1606

Stop Event

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

Compiler

Compiled 422 to 92 computations (78.2% saved)

preprocess95.0ms (1.4%)

Memory

-6.2MiB live, 98.2MiB allocated; 43ms collecting garbage

Remove

(abs x)

(abs tau)

Compiler

Compiled 1 138 to 336 computations (70.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze29.0ms (0.4%)

sample1.5s (22.2%)

explain180.0ms (2.6%)

preprocess158.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify117.0ms (1.7%)

localize41.0ms (0.6%)

series26.0ms (0.4%)

simplify229.0ms (3.3%)

rewrite115.0ms (1.7%)

eval84.0ms (1.2%)

prune39.0ms (0.6%)

simplify101.0ms (1.4%)

localize131.0ms (1.9%)

series72.0ms (1%)

simplify119.0ms (1.7%)

rewrite86.0ms (1.2%)

eval86.0ms (1.2%)

prune52.0ms (0.7%)

simplify88.0ms (1.3%)

localize203.0ms (2.9%)

series50.0ms (0.7%)

simplify130.0ms (1.9%)

rewrite33.0ms (0.5%)

eval26.0ms (0.4%)

prune112.0ms (1.6%)

simplify107.0ms (1.5%)

localize173.0ms (2.5%)

series65.0ms (0.9%)

simplify194.0ms (2.8%)

rewrite185.0ms (2.7%)

eval96.0ms (1.4%)

prune134.0ms (1.9%)

regimes135.0ms (1.9%)

regimes77.0ms (1.1%)

regimes85.0ms (1.2%)

regimes61.0ms (0.9%)

regimes57.0ms (0.8%)

regimes34.0ms (0.5%)

regimes19.0ms (0.3%)

regimes22.0ms (0.3%)

regimes11.0ms (0.2%)

regimes21.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

simplify47.0ms (0.7%)

derivations1.5s (21.2%)

preprocess95.0ms (1.4%)

end0.0ms (0%)

Profiling