Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze20.0ms (0.3%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.4s (21.1%)

Memory

45.4MiB live, 692.9MiB allocated; 175ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 854.0ms

ival-mult: 205.0ms (24% of total)

ival-sin: 149.0ms (17.5% of total)

ival-sinu: 118.0ms (13.8% of total)

const: 115.0ms (13.5% of total)

ival-<=: 105.0ms (12.3% of total)

ival-div: 93.0ms (10.9% of total)

ival-pi: 33.0ms (3.9% of total)

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

exact: 8.0ms (0.9% of total)

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

adjust: 2.0ms (0.2% of total)

Bogosity

explain127.0ms (1.9%)

Memory

-17.8MiB live, 175.3MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
4	-	4	(0.8881534934043884 2.2945995330810547)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
2	-	1	(0.9954742789268494 2.703119993209839)	`(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 x (PI.f32)))`	cancellation	1	1

Confusion

	Predicted +	Predicted -
+	1	6
-	0	249

Precision

1.0

Recall

0.14285714285714285

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	3	3
-	0	0	249

Precision?

1.0

Recall?

0.5714285714285714

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

48.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

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

ival-mult: 9.0ms (27.5% of total)

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

ival-sin: 7.0ms (21.4% of total)

ival-div: 6.0ms (18.3% of total)

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

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

adjust: 0.0ms (0% of total)

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

preprocess131.0ms (2%)

Memory

-17.4MiB live, 123.8MiB allocated; 9ms 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

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.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)

simplify102.0ms (1.5%)

Memory

-17.5MiB live, 100.4MiB allocated; 17ms 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))

localize31.0ms (0.5%)

Memory

-4.5MiB live, 42.6MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3359375	(*.f32 x (PI.f32))
accuracy	0.37699130861065216	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.397480029305326	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.4133723347920656	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))

Samples

24.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

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

ival-sinu: 5.0ms (29.2% of total)

ival-mult: 4.0ms (23.3% of total)

ival-sin: 4.0ms (23.3% of total)

ival-div: 3.0ms (17.5% of total)

ival-pi: 1.0ms (5.8% 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

35.1MiB live, 35.1MiB 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)))
4.0ms	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)))

simplify192.0ms (2.9%)

Memory

8.7MiB live, 208.1MiB allocated; 51ms 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))

rewrite155.0ms (2.3%)

Memory

-12.1MiB live, 96.9MiB allocated; 37ms 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)))

eval41.0ms (0.6%)

Memory: 5.8MiB live, 51.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 12 253 to 1 456 computations (88.1% saved)

prune34.0ms (0.5%)

Memory

0.1MiB live, 47.7MiB allocated; 1ms collecting garbage

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	443	34	477
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	443	35	478

Accuracy

99.7%

Counts

478 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) (.f32 tau x))
	68.9%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
▶	79.3%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	81.9%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) (.f32 (neg.f32 tau) (cbrt.f32 (PI.f32))))
	77.7%	(/.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)))
	96.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) tau))
	82.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)))) (.f32 x (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	96.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	79.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau)))
	79.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 x) (PI.f32))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	95.8%	(.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)))
	97.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	79.4%	(.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))))
	81.5%	(.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))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
✓	97.7%	(.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))))
	83.7%	(.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))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.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))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
▶	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	79.6%	(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.2%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	62.8%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	82.1%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	97.5%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
▶	97.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	77.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	76.3%	#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)))
	77.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
	96.5%	#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))))
▶	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 741 to 982 computations (43.6% saved)

simplify95.0ms (1.4%)

Memory

7.4MiB live, 57.3MiB allocated; 17ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	338
0	63	334
1	145	334
2	437	334
3	1530	334
4	4025	334
5	6349	334
0	8061	334

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (1.6%)

Memory

-7.3MiB live, 87.5MiB allocated; 4ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.40234375	(fma.f32 (PI.f32) x (PI.f32))
accuracy	0.4133723347920656	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.43197250976844204	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
accuracy	6.028532528500304	(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
accuracy	0.37699130861065216	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
accuracy	0.3828125	(fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))
accuracy	0.4411125488422102	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
accuracy	5.200462567859079	(sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32)))
accuracy	0.3359375	(*.f32 (PI.f32) x)
accuracy	0.33984375	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.3991012695368841	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.4133723347920656	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	12.152993260645383	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.3359375	(*.f32 (PI.f32) x)
accuracy	0.39681625976844204	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
accuracy	0.397480029305326	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4133723347920656	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))

Samples

80.0ms

256×

valid

Compiler

Compiled 345 to 37 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-sin: 24.0ms (36.9% of total)

ival-mult: 18.0ms (27.7% of total)

ival-div: 13.0ms (20% of total)

ival-sinu: 4.0ms (6.1% of total)

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

ival-pi: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% 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)

series55.0ms (0.8%)

Memory

-3.8MiB live, 42.0MiB allocated; 5ms collecting garbage

Counts

20 → 99

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	tau	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (* (sin (+ (* (* tau (PI)) x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI)))) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)))
11.0ms	tau	@	0	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (* (sin (+ (* (* tau (PI)) x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI)))) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)))
9.0ms	x	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (* (sin (+ (* (* tau (PI)) x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI)))) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)))
8.0ms	tau	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (* (sin (+ (* (* tau (PI)) x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI)))) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)))
7.0ms	x	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (* (sin (+ (* (* tau (PI)) x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI)))) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)))

simplify217.0ms (3.3%)

Memory

-10.3MiB live, 88.6MiB allocated; 159ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	532	2217
1	2134	1928
2	7560	1927
0	8028	1808

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 98

Calls

Call 1

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

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

rewrite219.0ms (3.3%)

Memory

42.9MiB live, 187.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	224
0	63	220
1	232	210
2	1293	210
0	8374	210

Stop Event

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

Counts

20 → 2 104

Calls

Call 1

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

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

eval141.0ms (2.1%)

Memory: -19.1MiB live, 164.3MiB allocated; 24ms collecting garbage
Compiler: Compiled 47 957 to 4 419 computations (90.8% saved)

prune60.0ms (0.9%)

Memory

5.9MiB live, 101.1MiB allocated; 4ms collecting garbage

Pruning

48 alts after pruning (44 fresh and 4 done)

	Pruned	Kept	Total
New	1 406	30	1 436
Fresh	15	14	29
Picked	2	3	5
Done	0	1	1
Total	1 423	48	1 471

Accuracy

99.8%

Counts

1 471 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x) (PI.f32))
	79.9%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	78.7%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (-.f32 (.f32 x (PI.f32)) (PI.f32)))) (neg.f32 x))
	69.2%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) #s(approx (sin (+ ( (PI) x) (PI))) (*.f32 (neg.f32 x) (PI.f32)))) (neg.f32 x))
	77.2%	(/.f32 (.f32 (/.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	77.7%	(/.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)))
	79.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau)))
	61.1%	(/.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)) (*.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	61.1%	(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	52.1%	(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	52.1%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32))) (neg.f32 x))
	76.0%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (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)) x)) (neg.f32 x))
	96.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x))
	79.4%	(.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))))
	81.5%	(.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))))
▶	78.9%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
✓	97.7%	(.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))))
	83.7%	(.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))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.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))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	81.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)))
	78.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (+.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)))
✓	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	84.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 x) (PI.f32)) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)))
	77.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #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)))
▶	96.9%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32)))))
	84.2%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	69.3%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	82.2%	(.f32 (sin.f32 (fma.f32 (.f32 x (PI.f32)) tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	79.6%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
✓	82.1%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	59.0%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	69.3%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
▶	97.5%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	77.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.4%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	69.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	69.4%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	52.1%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
	76.3%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) (/.f32 x x)))
	77.8%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 tau (.f32 x x))) (*.f32 (PI.f32) (PI.f32)))))
▶	6.3%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) #s(literal 0 binary32))
	76.3%	#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)))
✓	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 534 to 1 492 computations (41.1% saved)

simplify82.0ms (1.2%)

Memory

7.6MiB live, 55.0MiB allocated; 1ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	314
0	72	309
1	142	309
2	434	305
3	1541	305
4	4088	305
5	7229	305
0	8010	305

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (1.6%)

Memory

-1.7MiB live, 95.1MiB allocated; 7ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.3671875	(fma.f32 (neg.f32 (PI.f32)) x (PI.f32))
accuracy	0.3991012695368841	(/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4133723347920656	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	5.852781072565604	(sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32)))
accuracy	0.3671875	(.f32 (.f32 x (PI.f32)) (PI.f32))
accuracy	0.375	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x))
accuracy	0.4133723347920656	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.442070019536884	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
accuracy	0.33984375	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.3991012695368841	(/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.4133723347920656	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	9.487110321880841	#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
accuracy	29.979993860075297	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) #s(literal 0 binary32))
accuracy	0.33984375	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.39681625976844204	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
accuracy	0.4108200195368841	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.4133723347920656	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))

Samples

85.0ms

256×

valid

Compiler

Compiled 306 to 36 computations (88.2% saved)

Precisions

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

ival-sin: 32.0ms (45.1% of total)

ival-mult: 18.0ms (25.4% of total)

ival-div: 11.0ms (15.5% of total)

ival-sinu: 4.0ms (5.6% of total)

ival-add: 2.0ms (2.8% of total)

ival-neg: 2.0ms (2.8% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.6%)

Memory

-7.4MiB live, 37.8MiB allocated; 4ms collecting garbage

Counts

22 → 88

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (/ (sin (* x (PI))) (* (* x (PI)) (PI))) (/ (sin (* tau (* x (PI)))) (* tau x))) (/ (sin (* x (PI))) (* (* x (PI)) (PI))) (sin (* x (PI))) (* x (PI)) (sin (+ (* (neg (PI)) x) (PI))) (* (/ (sin (+ (* (neg (PI)) x) (PI))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (+ (* (neg (PI)) x) (PI))) (* tau (* (PI) x))) (+ (* (neg (PI)) x) (PI)) (sin (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* x (PI)))) (/ (sin (* tau (* x (PI)))) (* tau x)) (* (* x (PI)) (PI)))
7.0ms	tau	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (/ (sin (* x (PI))) (* (* x (PI)) (PI))) (/ (sin (* tau (* x (PI)))) (* tau x))) (/ (sin (* x (PI))) (* (* x (PI)) (PI))) (sin (* x (PI))) (* x (PI)) (sin (+ (* (neg (PI)) x) (PI))) (* (/ (sin (+ (* (neg (PI)) x) (PI))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (+ (* (neg (PI)) x) (PI))) (* tau (* (PI) x))) (+ (* (neg (PI)) x) (PI)) (sin (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* x (PI)))) (/ (sin (* tau (* x (PI)))) (* tau x)) (* (* x (PI)) (PI)))
6.0ms	tau	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (/ (sin (* x (PI))) (* (* x (PI)) (PI))) (/ (sin (* tau (* x (PI)))) (* tau x))) (/ (sin (* x (PI))) (* (* x (PI)) (PI))) (sin (* x (PI))) (* x (PI)) (sin (+ (* (neg (PI)) x) (PI))) (* (/ (sin (+ (* (neg (PI)) x) (PI))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (+ (* (neg (PI)) x) (PI))) (* tau (* (PI) x))) (+ (* (neg (PI)) x) (PI)) (sin (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* x (PI)))) (/ (sin (* tau (* x (PI)))) (* tau x)) (* (* x (PI)) (PI)))
6.0ms	x	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (/ (sin (* x (PI))) (* (* x (PI)) (PI))) (/ (sin (* tau (* x (PI)))) (* tau x))) (/ (sin (* x (PI))) (* (* x (PI)) (PI))) (sin (* x (PI))) (* x (PI)) (sin (+ (* (neg (PI)) x) (PI))) (* (/ (sin (+ (* (neg (PI)) x) (PI))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (+ (* (neg (PI)) x) (PI))) (* tau (* (PI) x))) (+ (* (neg (PI)) x) (PI)) (sin (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* x (PI)))) (/ (sin (* tau (* x (PI)))) (* tau x)) (* (* x (PI)) (PI)))
5.0ms	tau	@	0	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (/ (sin (* x (PI))) (* (* x (PI)) (PI))) (/ (sin (* tau (* x (PI)))) (* tau x))) (/ (sin (* x (PI))) (* (* x (PI)) (PI))) (sin (* x (PI))) (* x (PI)) (sin (+ (* (neg (PI)) x) (PI))) (* (/ (sin (+ (* (neg (PI)) x) (PI))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (+ (* (neg (PI)) x) (PI))) (* tau (* (PI) x))) (+ (* (neg (PI)) x) (PI)) (sin (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* x (PI)))) (/ (sin (* tau (* x (PI)))) (* tau x)) (* (* x (PI)) (PI)))

simplify141.0ms (2.1%)

Memory

-8.6MiB live, 89.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	498	1895
1	1901	1740
2	6317	1735
0	9041	1630

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 87

Calls

Call 1

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

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

rewrite157.0ms (2.4%)

Memory

4.6MiB live, 136.8MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	239
0	72	234
1	221	220
2	1350	218
0	8491	218

Stop Event

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

Counts

22 → 1 588

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (neg.f32 (PI.f32)) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (.f32 x (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (neg.f32 (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (neg.f32 (PI.f32)) x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (.f32 (.f32 (neg.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (.f32 (.f32 (neg.f32 (PI.f32)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (neg.f32 x)) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (.f32 (PI.f32) (PI.f32))))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)) (neg.f32 tau)) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)) (neg.f32 x)) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (neg.f32 tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (neg.f32 x)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (neg.f32 x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (.f32 x (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (.f32 (.f32 (neg.f32 (PI.f32)) x) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 (neg.f32 (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 tau)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32)) (neg.f32 x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 tau x) (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) tau) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (neg.f32 (PI.f32)) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (.f32 (PI.f32) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (.f32 (fabs.f32 x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (fabs.f32 x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (fabs.f32 x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (.f32 (fabs.f32 x) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (.f32 x x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (PI.f32))))
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eval101.0ms (1.5%)

Memory: 20.6MiB live, 116.2MiB allocated; 16ms collecting garbage
Compiler: Compiled 31 556 to 2 781 computations (91.2% saved)

prune69.0ms (1%)

Memory

9.2MiB live, 102.1MiB allocated; 5ms collecting garbage

Pruning

63 alts after pruning (57 fresh and 6 done)

	Pruned	Kept	Total
New	1 056	28	1 084
Fresh	10	29	39
Picked	2	3	5
Done	1	3	4
Total	1 069	63	1 132

Accuracy

99.8%

Counts

1 132 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.9%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	77.2%	(/.f32 (.f32 (/.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	77.7%	(/.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)))
▶	79.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau)))
▶	61.1%	(/.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)) (*.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	69.4%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x (PI.f32)))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	96.5%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x))
	61.1%	(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	52.1%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32))) (neg.f32 x))
	76.0%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (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)) x)) (neg.f32 x))
	79.4%	(.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))))
	81.5%	(.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))))
	59.0%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (neg.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
	78.8%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) x))
	77.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
	78.6%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
✓	78.9%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	78.7%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (neg.f32 x))))) (*.f32 (PI.f32) x)))
	78.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 x) tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) x)))
	78.7%	(.f32 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	83.7%	(.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))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.2%	(.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))))
	81.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)))
	78.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (+.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)))
✓	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	84.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 x) (PI.f32)) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)))
	77.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #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)))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) x))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32)))))
▶	69.1%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
	69.3%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 x (PI.f32))) (PI.f32)))
	84.2%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	58.4%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
	57.3%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
	57.6%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (PI.f32) x)))
	57.7%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) x)))
	67.6%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( tau (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) x)))
	62.0%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
	67.6%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal 1 binary32)) tau)))
	79.6%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
✓	82.1%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	59.0%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	69.3%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
	73.5%	(.f32 (sin.f32 (+.f32 (+.f32 (-.f32 (PI.f32) (.f32 x (PI.f32))) (PI.f32)) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
✓	97.5%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	76.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))))
	69.2%	(.f32 #s(approx (/ (sin (+ ( (neg (PI)) x) (PI))) (* tau (* (PI) x))) (/.f32 (/.f32 x tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	83.4%	(.f32 #s(approx (/ (sin (+ ( (neg (PI)) x) (PI))) (* tau (* (PI) x))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) x)) x)) tau) (/.f32 x x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	77.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.4%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	69.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	83.1%	(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
	69.2%	(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
	52.1%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
	62.8%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	76.3%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32)) (/.f32 x x)))
	77.8%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 tau (.f32 x x))) (*.f32 (PI.f32) (PI.f32)))))
✓	6.3%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) #s(literal 0 binary32))
▶	76.3%	#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)))
✓	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 3 467 to 2 046 computations (41% saved)

simplify111.0ms (1.7%)

Memory

-26.4MiB live, 68.9MiB allocated; 11ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	528
0	114	526
1	237	526
2	808	524
3	5688	519
0	8712	514

Stop Event

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

Calls

Call 1

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

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

localize149.0ms (2.3%)

Memory

35.3MiB live, 124.8MiB allocated; 7ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3671875	(.f32 (PI.f32) (.f32 (PI.f32) x))
accuracy	0.40234375	(fma.f32 (PI.f32) x (PI.f32))
accuracy	0.4133723347920656	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	6.028532528500304	(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
accuracy	0.43197250976844204	(.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)) (*.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	6.028532528500304	(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
accuracy	7.011209590488587	#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))
accuracy	0.4133723347920656	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.4450187988422102	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	9.487110321880841	#s(approx (sin (* (PI) x)) (*.f32 x (PI.f32)))
accuracy	0.1513631863802732	(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	0.25390625	(.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	7.588432433163688	#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	0.3561325195368841	(.f32 (.f32 tau x) (PI.f32))
accuracy	0.37699130861065216	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.397480029305326	(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.4133723347920656	(sin.f32 (.f32 (.f32 tau x) (PI.f32)))

Samples

110.0ms

256×

valid

Compiler

Compiled 448 to 55 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 36.0ms (39.7% of total)

ival-sin: 18.0ms (19.8% of total)

ival-div: 17.0ms (18.7% of total)

ival-sinu: 8.0ms (8.8% of total)

ival-add: 5.0ms (5.5% of total)

const: 4.0ms (4.4% of total)

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

ival-pi: 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)

series68.0ms (1%)

Memory

-1.4MiB live, 48.4MiB allocated; 10ms collecting garbage

Counts

27 → 116

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	-inf	((* (/ (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 (* (* 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 (* x (PI)))) (* (* (PI) (PI)) x)) (/ (sin (* (PI) x)) (* tau x))) (/ (sin (* tau (* x (PI)))) (* (* (PI) (PI)) x)) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) tau) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (* (* (PI) (* (PI) x)) (neg tau))) (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (PI) (* (PI) x)))
21.0ms	tau	@	inf	((* (/ (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 (* (* 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 (* x (PI)))) (* (* (PI) (PI)) x)) (/ (sin (* (PI) x)) (* tau x))) (/ (sin (* tau (* x (PI)))) (* (* (PI) (PI)) x)) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) tau) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (* (* (PI) (* (PI) x)) (neg tau))) (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (PI) (* (PI) x)))
6.0ms	tau	@	-inf	((* (/ (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 (* (* 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 (* x (PI)))) (* (* (PI) (PI)) x)) (/ (sin (* (PI) x)) (* tau x))) (/ (sin (* tau (* x (PI)))) (* (* (PI) (PI)) x)) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) tau) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (* (* (PI) (* (PI) x)) (neg tau))) (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (PI) (* (PI) x)))
6.0ms	x	@	inf	((* (/ (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 (* (* 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 (* x (PI)))) (* (* (PI) (PI)) x)) (/ (sin (* (PI) x)) (* tau x))) (/ (sin (* tau (* x (PI)))) (* (* (PI) (PI)) x)) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) tau) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (* (* (PI) (* (PI) x)) (neg tau))) (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (PI) (* (PI) x)))
4.0ms	x	@	0	((* (/ (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 (* (* 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 (* x (PI)))) (* (* (PI) (PI)) x)) (/ (sin (* (PI) x)) (* tau x))) (/ (sin (* tau (* x (PI)))) (* (* (PI) (PI)) x)) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (* (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) tau) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (* (* (PI) (* (PI) x)) (neg tau))) (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (PI) (* (PI) x)))

simplify127.0ms (1.9%)

Memory

-3.7MiB live, 85.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	537	2655
1	2107	2443
2	7079	2438
0	8255	2292

Stop Event

1×	iter limit
1×	node limit

Counts

116 → 115

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

rewrite87.0ms (1.3%)

Memory

12.7MiB live, 57.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	393
0	114	393
1	350	369
0	2058	367

Stop Event

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

Counts

27 → 409

Calls

Call 1

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

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

eval88.0ms (1.3%)

Memory: -19.0MiB live, 74.1MiB allocated; 32ms collecting garbage
Compiler: Compiled 21 275 to 2 261 computations (89.4% saved)

prune484.0ms (7.3%)

Memory

-58.2MiB live, 100.6MiB allocated; 1.0s collecting garbage

Pruning

77 alts after pruning (69 fresh and 8 done)

	Pruned	Kept	Total
New	554	27	581
Fresh	10	42	52
Picked	3	2	5
Done	0	6	6
Total	567	77	644

Accuracy

99.8%

Counts

644 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.9%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	77.2%	(/.f32 (.f32 (/.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	77.7%	(/.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)))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
✓	61.1%	(/.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)) (*.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	15.0%	(/.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)) (.f32 tau (PI.f32))) (sin.f32 #s(approx (+ ( (PI) x) (PI)) (PI.f32)))) (neg.f32 x))
	63.4%	(/.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)) (*.f32 tau (PI.f32))) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (neg.f32 x))
	67.5%	(/.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)) (.f32 tau (PI.f32))) #s(approx (sin (+ ( (PI) x) (PI))) (*.f32 (neg.f32 x) (PI.f32)))) (neg.f32 x))
	82.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (neg.f32 x) (.f32 (.f32 (neg.f32 tau) x) (*.f32 (PI.f32) (PI.f32)))))
	82.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x)))
	59.0%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (PI.f32)) (*.f32 x tau)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) (*.f32 x tau)) (PI.f32)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (PI.f32) (.f32 x tau))))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 x (.f32 (.f32 (neg.f32 tau) x) (.f32 (PI.f32) (PI.f32)))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))
	69.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (*.f32 (neg.f32 tau) x)))
	96.5%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x))) (.f32 (*.f32 (PI.f32) (PI.f32)) x))
	61.1%	(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
	52.1%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32))) (neg.f32 x))
	76.0%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau tau #s(literal 1 binary32))) x #s(literal 0 binary32)) x #s(literal -1 binary32)) x)) (neg.f32 x))
	61.8%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau)))
	79.4%	(.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))))
	59.0%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
	81.5%	(.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))))
	59.0%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (neg.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
	78.8%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) x))
	77.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
	78.6%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
✓	78.9%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	78.7%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (neg.f32 x))))) (*.f32 (PI.f32) x)))
	78.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 x) tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) x)))
	78.7%	(.f32 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.7%	(.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 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.3%	(.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))))
	81.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)))
	78.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (+.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)))
✓	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	84.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 x) (PI.f32)) tau (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)))
	77.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #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)))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
	69.3%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 x (PI.f32))) (PI.f32)))
	84.2%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	57.3%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
	57.6%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (PI.f32) x)))
	57.7%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) x)))
	67.6%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( tau (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) x)))
	67.6%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal 1 binary32)) tau)))
	79.6%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
✓	82.1%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	69.3%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
	73.5%	(.f32 (sin.f32 (+.f32 (+.f32 (-.f32 (PI.f32) (.f32 x (PI.f32))) (PI.f32)) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
✓	97.5%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	76.9%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))))
	69.2%	(.f32 #s(approx (/ (sin (+ ( (neg (PI)) x) (PI))) (* tau (* (PI) x))) (/.f32 (/.f32 x tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	83.4%	(.f32 #s(approx (/ (sin (+ ( (neg (PI)) x) (PI))) (* tau (* (PI) x))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) x)) x)) tau) (/.f32 x x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	77.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.4%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	69.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	83.1%	(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
	69.2%	(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
	67.6%	(.f32 #s(approx (/ (sin ( tau (* x (PI)))) (* (* (PI) (PI)) x)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32))) tau (/.f32 tau (PI.f32)))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
	61.9%	(.f32 #s(approx (/ (sin ( tau (* x (PI)))) (* (* (PI) (PI)) x)) (/.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
	79.3%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
	52.1%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
	62.8%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	77.8%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 tau (.f32 x x))) (*.f32 (PI.f32) (PI.f32)))))
✓	6.3%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) #s(literal 0 binary32))
	76.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (-.f32 (.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)))
	76.3%	#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)))
	76.3%	#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)))
	67.8%	#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)))
	62.6%	#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)))
	67.8%	#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)))
	4.3%	#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)))))
✓	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 5 841 to 1 953 computations (66.6% saved)

regimes125.0ms (1.9%)

Memory

-14.6MiB live, 105.2MiB allocated; 14ms collecting garbage

Counts

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

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

Calls

4 calls:

34.0ms	x
30.0ms	(*.f32 x (PI.f32))
27.0ms	tau
27.0ms	(.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
97.7%	1	`(*.f32 x (PI.f32))`
97.7%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.7%	1	`x`
97.7%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes74.0ms (1.1%)

Memory

22.0MiB live, 66.9MiB allocated; 3ms 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) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) #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 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (-.f32 (.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 #s(approx (/ (sin ( tau (* x (PI)))) (* (* (PI) (PI)) x)) (/.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau)))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32)) (/.f32 x x)))
(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau tau #s(literal 1 binary32))) x #s(literal 0 binary32)) x #s(literal -1 binary32)) x)) (neg.f32 x))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) (/.f32 x x)))
(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (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)) x)) (neg.f32 x))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( tau (* x (PI)))) (* (* (PI) (PI)) x)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32))) tau (/.f32 tau (PI.f32)))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
(/.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)) (.f32 tau (PI.f32))) #s(approx (sin (+ ( (PI) x) (PI))) (*.f32 (neg.f32 x) (PI.f32)))) (neg.f32 x))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32))) (neg.f32 x))
(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin (+ ( (neg (PI)) x) (PI))) (* tau (* (PI) x))) (/.f32 (/.f32 x tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (PI.f32)) (*.f32 x tau)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (*.f32 (neg.f32 tau) x)))
(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (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 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
(.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 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 (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x (PI.f32)))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (neg.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #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)))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) #s(approx (sin (+ ( (PI) x) (PI))) (*.f32 (neg.f32 x) (PI.f32)))) (neg.f32 x))
(/.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)) (.f32 tau (PI.f32))) (sin.f32 #s(approx (+ ( (PI) x) (PI)) (PI.f32)))) (neg.f32 x))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (PI.f32) x)))
(/.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)) (*.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( tau (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin (+ ( (neg (PI)) x) (PI))) (* tau (* (PI) x))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) x)) x)) tau) (/.f32 x x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(/.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)) (*.f32 tau (PI.f32))) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (neg.f32 x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 x (.f32 (.f32 (neg.f32 tau) x) (.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (PI.f32) (.f32 x tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 tau x))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

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

Calls

4 calls:

19.0ms	x
18.0ms	tau
17.0ms	(*.f32 x (PI.f32))
17.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes69.0ms (1%)

Memory

-35.4MiB live, 59.3MiB allocated; 10ms collecting garbage

Counts

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

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

Calls

4 calls:

20.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
17.0ms	tau
15.0ms	x
15.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes62.0ms (0.9%)

Memory

12.2MiB live, 57.6MiB allocated; 3ms collecting garbage

Counts

61 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	(*.f32 x (PI.f32))
15.0ms	tau
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))))
14.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes61.0ms (0.9%)

Memory

10.9MiB live, 56.1MiB allocated; 3ms collecting garbage

Counts

60 → 2

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

Outputs

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

Calls

4 calls:

16.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
14.0ms	tau
14.0ms	(*.f32 x (PI.f32))
14.0ms	x

Results

Accuracy	Segments	Branch
96.6%	2	`(*.f32 x (PI.f32))`
96.6%	2	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
96.6%	2	`x`
83.7%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes46.0ms (0.7%)

Memory

-3.3MiB live, 42.2MiB allocated; 3ms collecting garbage

Counts

59 → 2

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

Outputs

(*.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))))

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

Calls

3 calls:

15.0ms	(*.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))))
14.0ms	x

Results

Accuracy	Segments	Branch
96.2%	2	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
96.2%	2	`(*.f32 x (PI.f32))`
96.2%	2	`x`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes48.0ms (0.7%)

Memory

-6.7MiB live, 42.0MiB allocated; 6ms 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) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) #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 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (-.f32 (.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 #s(approx (/ (sin ( tau (* x (PI)))) (* (* (PI) (PI)) x)) (/.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau)))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32)) (/.f32 x x)))
(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau tau #s(literal 1 binary32))) x #s(literal 0 binary32)) x #s(literal -1 binary32)) x)) (neg.f32 x))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) (/.f32 x x)))
(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (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)) x)) (neg.f32 x))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( tau (* x (PI)))) (* (* (PI) (PI)) x)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32))) tau (/.f32 tau (PI.f32)))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
(/.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)) (.f32 tau (PI.f32))) #s(approx (sin (+ ( (PI) x) (PI))) (*.f32 (neg.f32 x) (PI.f32)))) (neg.f32 x))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32))) (neg.f32 x))
(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin (+ ( (neg (PI)) x) (PI))) (* tau (* (PI) x))) (/.f32 (/.f32 x tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (PI.f32)) (*.f32 x tau)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (*.f32 (neg.f32 tau) x)))
(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (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 tau (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
(.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 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 (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x (PI.f32)))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (PI))) (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (neg.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #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)))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) #s(approx (sin (+ ( (PI) x) (PI))) (*.f32 (neg.f32 x) (PI.f32)))) (neg.f32 x))
(/.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)) (.f32 tau (PI.f32))) (sin.f32 #s(approx (+ ( (PI) x) (PI)) (PI.f32)))) (neg.f32 x))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (cos.f32 (+.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (PI.f32) x)))
(/.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)) (*.f32 tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( tau (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin (+ ( (neg (PI)) x) (PI))) (* tau (* (PI) x))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) x)) x)) tau) (/.f32 x x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(/.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)) (*.f32 tau (PI.f32))) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (neg.f32 x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))

Outputs

(*.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))))

Calls

3 calls:

19.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
14.0ms	x
14.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
83.7%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
83.7%	1	`(*.f32 x (PI.f32))`
83.7%	1	`x`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes40.0ms (0.6%)

Memory

-8.3MiB live, 37.4MiB allocated; 3ms collecting garbage

Counts

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

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:

11.0ms	(*.f32 x (PI.f32))
9.0ms	tau
9.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms	x

Results

Accuracy	Segments	Branch
83.3%	1	`(*.f32 x (PI.f32))`
83.3%	1	`x`
83.3%	1	`tau`
83.3%	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))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes37.0ms (0.6%)

Memory

36.7MiB live, 36.7MiB allocated; 0ms collecting garbage

Counts

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

Outputs

(*.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))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
77.4%	1	`(*.f32 x (PI.f32))`
77.4%	1	`x`
77.4%	1	`tau`
77.4%	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)

regimes34.0ms (0.5%)

Memory

-13.4MiB live, 32.4MiB 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) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) #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 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (-.f32 (.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 #s(approx (/ (sin ( tau (* x (PI)))) (* (* (PI) (PI)) x)) (/.f32 tau (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (+ (* (PI) x) (PI)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau)))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32)) (/.f32 x x)))
(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau tau #s(literal 1 binary32))) x #s(literal 0 binary32)) x #s(literal -1 binary32)) x)) (neg.f32 x))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) (/.f32 x x)))
(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (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)) x)) (neg.f32 x))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( tau (* x (PI)))) (* (* (PI) (PI)) x)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32))) tau (/.f32 tau (PI.f32)))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
(/.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)) (.f32 tau (PI.f32))) #s(approx (sin (+ ( (PI) x) (PI))) (*.f32 (neg.f32 x) (PI.f32)))) (neg.f32 x))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32))) (neg.f32 x))
(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 x))
(.f32 #s(approx (/ (sin ( x (PI))) (* (* x (PI)) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin (+ ( (neg (PI)) x) (PI))) (* tau (* (PI) x))) (/.f32 (/.f32 x tau) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (PI.f32)) (*.f32 x tau)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (*.f32 (neg.f32 tau) x)))
(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))

Outputs

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

Calls

4 calls:

10.0ms	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	(*.f32 x (PI.f32))
8.0ms	x

Results

Accuracy	Segments	Branch
76.9%	1	`(*.f32 x (PI.f32))`
76.9%	1	`x`
76.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
76.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes30.0ms (0.5%)

Memory

-16.8MiB live, 28.9MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
76.3%	1	`(*.f32 x (PI.f32))`
76.3%	1	`x`
76.3%	1	`tau`
76.3%	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))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes12.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

9 → 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) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) #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 (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)))

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

Results

Accuracy	Segments	Branch
76.3%	1	`(*.f32 x (PI.f32))`
76.3%	1	`x`
76.3%	1	`tau`
76.3%	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))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes9.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms 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) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) #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:

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

Results

Accuracy	Segments	Branch
67.8%	1	`(*.f32 x (PI.f32))`
67.8%	1	`x`
67.8%	1	`tau`
67.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes7.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB 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) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) #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	x
2.0ms	(*.f32 x (PI.f32))
2.0ms	tau

Results

Accuracy	Segments	Branch
62.6%	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))))`
62.6%	1	`(*.f32 x (PI.f32))`
62.6%	1	`x`
62.6%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes19.0ms (0.3%)

Memory

-40.8MiB live, 8.6MiB allocated; 16ms collecting garbage

Accuracy

Total -17.9b remaining (-147.2%)

Threshold costs -17.9b (-147.2%)

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) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) #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:

15.0ms	(*.f32 x (PI.f32))
1.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
1.0ms	tau
1.0ms	x

Results

Accuracy	Segments	Branch
62.0%	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))))`
62.0%	1	`(*.f32 x (PI.f32))`
62.0%	1	`x`
62.0%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.022337937727570534	0.023720890283584595

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.03074836917221546	0.03091893158853054

Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify52.0ms (0.8%)

Memory

37.0MiB live, 37.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	127	556
1	198	556
2	442	554
3	1431	554
4	5356	550

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (PI.f32) (.f32 x tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 x (.f32 (.f32 (neg.f32 tau) x) (.f32 (PI.f32) (PI.f32)))))
(if (<=.f32 x #s(literal 12348031/536870912 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 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (.f32 (PI.f32) x))))
(if (<=.f32 x #s(literal 2066953/67108864 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)))) #s(approx (/ ( (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.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 ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (-.f32 (.f32 tau tau) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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 (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (PI.f32) (.f32 x tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (.f32 x tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 x (.f32 (.f32 (neg.f32 tau) x) (.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 x (.f32 (.f32 tau x) (.f32 (PI.f32) (PI.f32)))))
(if (<=.f32 x #s(literal 12348031/536870912 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 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (.f32 (PI.f32) x))))
(if (<=.f32 x #s(literal 12348031/536870912 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 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (neg.f32 (PI.f32)) x))))
(if (<=.f32 x #s(literal 2066953/67108864 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)))) #s(approx (/ ( (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (+ (* (PI) x) (PI)))) (neg x)) (/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))))))
(if (<=.f32 x #s(literal 2066953/67108864 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)))) #s(approx ( (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x))))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.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 ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (*.f32 (PI.f32) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (-.f32 (.f32 tau tau) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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))

derivations846.0ms (12.8%)

Memory

26.9MiB live, 346.1MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	537	2655
1	2107	2443
2	7079	2438
0	8255	2292
0	196	743
1	717	721
2	3503	697
0	8084	646
0	63	393
0	114	393
1	350	369
0	2058	367
0	10	55
0	18	55
1	54	55
2	349	53
0	3634	53
0	498	1895
1	1901	1740
2	6317	1735
0	9041	1630
0	532	2217
1	2134	1928
2	7560	1927
0	8028	1808

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

Compiler

Compiled 550 to 119 computations (78.4% saved)

preprocess96.0ms (1.4%)

Memory

-8.2MiB live, 82.3MiB allocated; 34ms collecting garbage

Remove

(abs x)

(abs tau)

Compiler

Compiled 1 478 to 418 computations (71.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze20.0ms (0.3%)

sample1.4s (21.1%)

explain127.0ms (1.9%)

preprocess131.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify102.0ms (1.5%)

localize31.0ms (0.5%)

series26.0ms (0.4%)

simplify192.0ms (2.9%)

rewrite155.0ms (2.3%)

eval41.0ms (0.6%)

prune34.0ms (0.5%)

simplify95.0ms (1.4%)

localize105.0ms (1.6%)

series55.0ms (0.8%)

simplify217.0ms (3.3%)

rewrite219.0ms (3.3%)

eval141.0ms (2.1%)

prune60.0ms (0.9%)

simplify82.0ms (1.2%)

localize108.0ms (1.6%)

series41.0ms (0.6%)

simplify141.0ms (2.1%)

rewrite157.0ms (2.4%)

eval101.0ms (1.5%)

prune69.0ms (1%)

simplify111.0ms (1.7%)

localize149.0ms (2.3%)

series68.0ms (1%)

simplify127.0ms (1.9%)

rewrite87.0ms (1.3%)

eval88.0ms (1.3%)

prune484.0ms (7.3%)

regimes125.0ms (1.9%)

regimes74.0ms (1.1%)

regimes69.0ms (1%)

regimes62.0ms (0.9%)

regimes61.0ms (0.9%)

regimes46.0ms (0.7%)

regimes48.0ms (0.7%)

regimes40.0ms (0.6%)

regimes37.0ms (0.6%)

regimes34.0ms (0.5%)

regimes30.0ms (0.5%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes19.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify52.0ms (0.8%)

derivations846.0ms (12.8%)

preprocess96.0ms (1.4%)

end0.0ms (0%)

Profiling