Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze20.0ms (0.3%)

Memory

18.0MiB live, 18.0MiB 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 (18.6%)

Memory

9.2MiB live, 1 278.3MiB allocated; 326ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 821.0ms

ival-mult: 223.0ms (27.2% of total)

ival-sinu: 115.0ms (14% of total)

ival-sin: 112.0ms (13.6% of total)

const: 108.0ms (13.2% of total)

ival-<=: 102.0ms (12.4% of total)

ival-div: 91.0ms (11.1% of total)

ival-pi: 34.0ms (4.1% of total)

ival-and: 21.0ms (2.6% of total)

exact: 8.0ms (1% of total)

adjust: 3.0ms (0.4% of total)

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

Bogosity

explain139.0ms (1.8%)

Memory

6.0MiB live, 99.2MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
2	-	1	(0.9866408109664917 3.1488280296325684)	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	3
-	0	252

Precision

1.0

Recall

0.25

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	3
-	0	0	252

Precision?

1.0

Recall?

0.25

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

59.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 9.0ms (27.8% of total)

ival-sinu: 8.0ms (24.7% of total)

ival-sin: 7.0ms (21.6% of total)

ival-div: 6.0ms (18.5% of total)

ival-pi: 2.0ms (6.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess135.0ms (1.8%)

Memory

25.0MiB live, 70.8MiB allocated; 5ms 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	6121	107
6	7082	107
0	10	21
0	18	21
1	31	21
2	88	21
3	295	21
4	692	21
5	1137	21
6	1748	21
7	3844	21
8	7458	21
9	7574	21
10	7771	21
0	8011	21

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(.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)

simplify98.0ms (1.3%)

Memory

-9.3MiB live, 43.0MiB allocated; 8ms 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	7771	62
0	8011	62

Stop Event

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

Calls

Call 1

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

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

localize74.0ms (1%)

Memory

-19.9MiB live, 27.4MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.32480528031145195	(sin.f32 (*.f32 x (PI.f32)))
accuracy	0.38702517069416975	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.4333000488422102	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.44435502930532605	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

62.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

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

ival-mult: 4.0ms (25% of total)

ival-sinu: 4.0ms (25% of total)

ival-sin: 4.0ms (25% of total)

ival-div: 3.0ms (18.7% of total)

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

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

adjust: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Counts

6 → 31

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

simplify226.0ms (3%)

Memory

18.1MiB live, 142.3MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	816
1	797	792
2	3818	766
0	8021	709

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

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

rewrite153.0ms (2%)

Memory

-9.6MiB live, 123.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	56
0	18	56
1	54	56
2	349	54
3	3602	54
0	9348	54

Stop Event

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

Counts

6 → 328

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

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

eval95.0ms (1.3%)

Memory: 1.3MiB live, 70.9MiB allocated; 23ms collecting garbage
Compiler: Compiled 11 428 to 1 489 computations (87% saved)

prune71.0ms (0.9%)

Memory

3.6MiB live, 48.6MiB allocated; 2ms collecting garbage

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	385	38	423
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	386	38	424

Accuracy

99.7%

Counts

424 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.1%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (PI.f32)) tau))
	96.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
	97.0%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (*.f32 (cbrt.f32 (PI.f32)) tau))
	96.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 tau (PI.f32))))
	96.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	96.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau (PI.f32))))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (PI.f32))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
▶	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.1%	(.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))
	96.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
	80.1%	(.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))))
▶	76.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
	80.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 x (PI.f32))))
	78.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))) (.f32 x (PI.f32))))
	81.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (.f32 x (PI.f32))))
	77.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
	67.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	80.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.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))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	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)))
	82.8%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	84.7%	(.f32 (/.f32 (cos.f32 (fma.f32 (.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))))
▶	80.5%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	80.8%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (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))))
	60.7%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.4%	(.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)))
	75.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal 1/36 binary32) tau) tau (fma.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
	73.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
▶	59.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 978 to 1 094 computations (44.7% saved)

simplify91.0ms (1.2%)

Memory

2.5MiB live, 91.6MiB allocated; 6ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	351
0	79	339
1	171	339
2	468	338
3	1559	338
4	4495	335
0	8078	330

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (1.8%)

Memory

11.2MiB live, 152.0MiB allocated; 10ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.4333000488422102	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.44435502930532605	(/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.6287652832848188	(fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))
accuracy	5.624175057672474	(cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))
accuracy	0.38702517069416975	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.4333000488422102	(/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 x (PI.f32)))
accuracy	0.44435502930532605	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	6.586728743476131	(sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)))
accuracy	0.38509750976844204	(.f32 (.f32 tau x) (PI.f32))
accuracy	0.38702517069416975	(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
accuracy	0.4333000488422102	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.44435502930532605	(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))
accuracy	12.84929892169554	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.328125	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.375	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
accuracy	0.38702517069416975	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4153900390737681	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))

Samples

100.0ms

256×

valid

Compiler

Compiled 367 to 38 computations (89.6% saved)

Precisions

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

ival-add: 20.0ms (23.7% of total)

ival-mult: 20.0ms (23.7% of total)

ival-sin: 15.0ms (17.8% of total)

ival-div: 12.0ms (14.2% of total)

ival-cos: 7.0ms (8.3% of total)

ival-sinu: 7.0ms (8.3% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series84.0ms (1.1%)

Memory

-36.6MiB live, 102.5MiB allocated; 15ms collecting garbage

Counts

21 → 97

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (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 (+ (+ (* (PI) x) (PI)) (PI))) (+ (+ (* (PI) x) (PI)) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI)) (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI))) (sin (* (* x (PI)) tau)) (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)))
20.0ms	x	@	-inf	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (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 (+ (+ (* (PI) x) (PI)) (PI))) (+ (+ (* (PI) x) (PI)) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI)) (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI))) (sin (* (* x (PI)) tau)) (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)))
11.0ms	tau	@	-inf	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (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 (+ (+ (* (PI) x) (PI)) (PI))) (+ (+ (* (PI) x) (PI)) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI)) (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI))) (sin (* (* x (PI)) tau)) (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)))
9.0ms	x	@	inf	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (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 (+ (+ (* (PI) x) (PI)) (PI))) (+ (+ (* (PI) x) (PI)) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI)) (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI))) (sin (* (* x (PI)) tau)) (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)))
7.0ms	tau	@	inf	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (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 (+ (+ (* (PI) x) (PI)) (PI))) (+ (+ (* (PI) x) (PI)) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI)) (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI))) (sin (* (* x (PI)) tau)) (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)))

simplify170.0ms (2.3%)

Memory

21.6MiB live, 303.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	578	2597
1	2210	2467
2	6819	2402
0	8332	2255

Stop Event

1×	iter limit
1×	node limit

Counts

97 → 96

Calls

Call 1

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

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

rewrite193.0ms (2.6%)

Memory

-19.3MiB live, 317.6MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	270
0	79	260
1	288	250
2	1901	250
0	8324	250

Stop Event

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

Counts

21 → 876

Calls

Call 1

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

Outputs
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (.f32 x tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x tau)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x tau)))
(.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 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau)))
(.f32 (/.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)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (PI.f32))) (neg.f32 x))
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(/.f32 (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -8 binary32)) (pow.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) #s(literal 3 binary32))) (+.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (pow.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32))))))
(/.f32 (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -8 binary32)) (pow.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (PI.f32) #s(literal -2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (pow.f32 (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)))) (/.f32 (pow.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)))))
(-.f32 (/.f32 (pow.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))) (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))))
(-.f32 (/.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (neg.f32 (fma.f32 x tau #s(literal 1 binary32))) (PI.f32)))
(-.f32 (/.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (neg.f32 (PI.f32)) (fma.f32 x tau #s(literal 1 binary32))))
(fma.f32 (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))
(fma.f32 (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal -2 binary32)) (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 x tau #s(literal 1 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (PI.f32)) #s(literal -2 binary32)) (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (fma.f32 x tau #s(literal 1 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32)))
(fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))
(fma.f32 (PI.f32) (fma.f32 x tau #s(literal 1 binary32)) (/.f32 (PI.f32) #s(literal -2 binary32)))
(+.f32 (/.f32 (pow.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) #s(literal 3 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal -2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (pow.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32)))) (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -8 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal -2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (pow.f32 (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32)))))
(+.f32 (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))
(+.f32 (/.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)))

eval127.0ms (1.7%)

Memory: 82.6MiB live, 223.9MiB allocated; 78ms collecting garbage
Compiler: Compiled 25 812 to 3 027 computations (88.3% saved)

prune68.0ms (0.9%)

Memory

-25.0MiB live, 86.6MiB allocated; 33ms collecting garbage

Pruning

43 alts after pruning (41 fresh and 2 done)

	Pruned	Kept	Total
New	694	25	719
Fresh	17	16	33
Picked	3	2	5
Done	0	0	0
Total	714	43	757

Accuracy

99.9%

Counts

757 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (.f32 (PI.f32) x)))
	96.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
	82.4%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (.f32 (PI.f32) tau) (PI.f32))) (neg.f32 (.f32 (neg.f32 x) (PI.f32)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
	79.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))) (.f32 x (PI.f32)))
	79.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau))
	96.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
▶	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	79.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 (neg.f32 x) (.f32 (PI.f32) tau))))
	80.1%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	81.6%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
▶	81.5%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))) (*.f32 x (PI.f32)))
	79.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))) (neg.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) (*.f32 (neg.f32 x) (PI.f32)))))
	82.3%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (cos.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))))) (.f32 (.f32 x (PI.f32)) (.f32 (neg.f32 x) (.f32 (PI.f32) tau))))
	60.7%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 (PI.f32) x)))
	80.1%	(.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))))
	81.7%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (.f32 (neg.f32 x) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.1%	(.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))))
✓	76.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
	75.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (PI.f32))))
	67.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	80.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ (+ ( (PI) x) (PI)) (PI))) (* x (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x) #s(literal -1/6 binary32) (.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) #s(literal -1/2 binary32))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	80.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.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))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	80.4%	(.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))))
	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)))
	82.8%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	84.7%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	65.1%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (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))))
	81.8%	(.f32 (/.f32 (cos.f32 (+.f32 (neg.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	80.5%	(.f32 (/.f32 (cos.f32 (+.f32 #s(approx (+ ( (+ (* tau x) 1) (PI)) (/ (PI) -2)) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 x tau)))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	97.4%	(.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)))
	75.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.6%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.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)))))
	73.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) x (.f32 (.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/2 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
▶	6.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (PI.f32)) x))
	76.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32)))))
	73.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
✓	59.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
▶	81.6%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32)))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))

Compiler

Compiled 2 463 to 1 412 computations (42.7% saved)

simplify98.0ms (1.3%)

Memory

21.5MiB live, 110.9MiB allocated; 8ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32)))) (.f32 tau (.f32 x x)))
cost-diff	0	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32)))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
cost-diff	0	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32)))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
cost-diff	2	(fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32)))
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 (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
cost-diff	0	(*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))
cost-diff	0	(sin.f32 (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
cost-diff	2	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
cost-diff	0	(PI.f32)
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (PI.f32)) x))
cost-diff	2	(/.f32 #s(literal 0 binary32) (PI.f32))
cost-diff	2	(/.f32 (/.f32 #s(literal 0 binary32) (PI.f32)) x)
cost-diff	0	(PI.f32)
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.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	65	412
0	111	399
1	260	391
2	802	389
3	3081	389
4	6856	383
0	8140	378

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

localize248.0ms (3.3%)

Memory

-20.9MiB live, 234.1MiB allocated; 141ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4303512695368841	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32)))
accuracy	0.4326362793053261	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32)))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	5.624175057672474	(cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32))))
accuracy	0.32480528031145195	(sin.f32 (*.f32 (PI.f32) x))
accuracy	0.38702517069416975	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.3951950195368841	(.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy	0.4381637695368841	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
accuracy	0.40853500976844204	(.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.4128113281475362	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
accuracy	0.442070019536884	(*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))
accuracy	4.9965397603058195	(sin.f32 (*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)))
accuracy	0.0	(/.f32 (/.f32 #s(literal 0 binary32) (PI.f32)) x)
accuracy	0.0	(/.f32 #s(literal 0 binary32) (PI.f32))
accuracy	0.0	(PI.f32)
accuracy	29.979174644572556	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (PI.f32)) x))
accuracy	0.33822250976844204	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.38702517069416975	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.44435502930532605	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.5036125488422101	(.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)))

Samples

215.0ms

256×

valid

Compiler

Compiled 392 to 60 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 98.0ms (49.7% of total)

ival-cos: 35.0ms (17.8% of total)

ival-div: 21.0ms (10.7% of total)

ival-sinu: 19.0ms (9.6% of total)

ival-sin: 15.0ms (7.6% of total)

ival-add: 7.0ms (3.6% of total)

ival-pi: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

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

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

series77.0ms (1%)

Memory

6.3MiB live, 99.7MiB allocated; 10ms collecting garbage

Counts

26 → 139

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	tau	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (/ 0 (PI)) x) (/ 0 (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (sin (* (+ (* x tau) 1) (PI))) (* (+ (* x tau) 1) (PI)) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (+ (* (* x tau) (PI)) (* (PI) 3/2)) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* tau (* x x))) (/ (sin (* (PI) x)) (* (PI) (PI)))) (/ (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* tau (* x x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (* tau (* (PI) x)) (PI)) (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* (PI) (PI)) (/ (sin (* (PI) x)) (* (PI) (PI))))
12.0ms	x	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (/ 0 (PI)) x) (/ 0 (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (sin (* (+ (* x tau) 1) (PI))) (* (+ (* x tau) 1) (PI)) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (+ (* (* x tau) (PI)) (* (PI) 3/2)) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* tau (* x x))) (/ (sin (* (PI) x)) (* (PI) (PI)))) (/ (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* tau (* x x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (* tau (* (PI) x)) (PI)) (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* (PI) (PI)) (/ (sin (* (PI) x)) (* (PI) (PI))))
10.0ms	tau	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (/ 0 (PI)) x) (/ 0 (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (sin (* (+ (* x tau) 1) (PI))) (* (+ (* x tau) 1) (PI)) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (+ (* (* x tau) (PI)) (* (PI) 3/2)) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* tau (* x x))) (/ (sin (* (PI) x)) (* (PI) (PI)))) (/ (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* tau (* x x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (* tau (* (PI) x)) (PI)) (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* (PI) (PI)) (/ (sin (* (PI) x)) (* (PI) (PI))))
9.0ms	x	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (/ 0 (PI)) x) (/ 0 (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (sin (* (+ (* x tau) 1) (PI))) (* (+ (* x tau) 1) (PI)) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (+ (* (* x tau) (PI)) (* (PI) 3/2)) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* tau (* x x))) (/ (sin (* (PI) x)) (* (PI) (PI)))) (/ (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* tau (* x x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (* tau (* (PI) x)) (PI)) (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* (PI) (PI)) (/ (sin (* (PI) x)) (* (PI) (PI))))
8.0ms	tau	@	0	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (/ 0 (PI)) x) (/ 0 (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (sin (* (+ (* x tau) 1) (PI))) (* (+ (* x tau) 1) (PI)) (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) x) (sin (* tau (* (PI) x))) (+ (* (* x tau) (PI)) (* (PI) 3/2)) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* tau (* x x))) (/ (sin (* (PI) x)) (* (PI) (PI)))) (/ (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* tau (* x x))) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (* tau (* (PI) x)) (PI)) (cos (+ (* (* x tau) (PI)) (* (PI) 3/2))) (* (PI) (PI)) (/ (sin (* (PI) x)) (* (PI) (PI))))

simplify132.0ms (1.7%)

Memory

10.0MiB live, 146.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	833	3634
1	3313	3230
0	8218	3033

Stop Event

1×	iter limit
1×	node limit

Counts

139 → 139

Calls

Call 1

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

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

rewrite204.0ms (2.7%)

Memory

-7.8MiB live, 216.5MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	330
0	111	317
1	428	289
2	2854	289
0	8411	283

Stop Event

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

Counts

26 → 699

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

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

eval710.0ms (9.4%)

Memory: -76.7MiB live, 281.8MiB allocated; 1.1s collecting garbage
Compiler: Compiled 57 636 to 5 471 computations (90.5% saved)

prune75.0ms (1%)

Memory

27.2MiB live, 172.3MiB allocated; 10ms collecting garbage

Pruning

58 alts after pruning (57 fresh and 1 done)

	Pruned	Kept	Total
New	1 419	32	1 451
Fresh	11	25	36
Picked	5	0	5
Done	1	1	2
Total	1 436	58	1 494

Accuracy

100.0%

Counts

1 494 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.6%	(/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (.f32 x (PI.f32)) (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (fma.f32 x (PI.f32) (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	96.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
	82.4%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (.f32 (PI.f32) tau) (PI.f32))) (neg.f32 (.f32 (neg.f32 x) (PI.f32)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	96.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) x))
	82.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	79.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 (neg.f32 x) (.f32 (PI.f32) tau))))
	80.1%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	81.6%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) (*.f32 tau (PI.f32))) x))
	81.6%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (neg.f32 x)))
	81.6%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) tau) (.f32 (*.f32 x (PI.f32)) (PI.f32))))
	81.6%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) #s(approx ( (* (neg x) (PI)) (* (* x (PI)) tau)) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
▶	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))) (*.f32 x (PI.f32)))
	79.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))) (neg.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) (*.f32 (neg.f32 x) (PI.f32)))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) x)
	85.0%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	60.6%	(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) x) (.f32 (PI.f32) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	60.7%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 (PI.f32) x)))
	59.6%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	97.0%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	59.5%	(/.f32 #s(approx (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (.f32 (fma.f32 (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	59.4%	(/.f32 #s(approx (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (.f32 (fma.f32 (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) tau) x #s(literal 0 binary32)) x)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
▶	80.1%	(.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))))
	97.1%	(.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))))
	75.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (PI.f32))))
	67.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	80.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ (+ ( (PI) x) (PI)) (PI))) (* x (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x) #s(literal -1/6 binary32) (.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) #s(literal -1/2 binary32))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	80.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.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))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	80.4%	(.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))))
	97.0%	(.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))
	79.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (.f32 tau (.f32 x (PI.f32))))) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (PI.f32)))
	82.8%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	84.7%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	65.1%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (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))))
	80.5%	(.f32 (/.f32 (cos.f32 (+.f32 #s(approx (+ ( (+ (* tau x) 1) (PI)) (/ (PI) -2)) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 x tau)))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	82.5%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (neg.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (.f32 (PI.f32) x)))
	74.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
	60.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
▶	75.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	73.9%	#s(approx (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) (/.f32 x x)))
▶	6.3%	#s(approx (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) #s(literal 0 binary32))
	73.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) x (.f32 (.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/2 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
	48.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) x))) (.f32 (PI.f32) x)))
	76.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32)))))
	73.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
✓	59.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
	80.9%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)))) (.f32 (.f32 x x) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (PI.f32))))
	80.9%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32))))) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (.f32 (*.f32 x x) tau))))
▶	79.4%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (cos.f32 (fma.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (neg.f32 tau) (.f32 x x)))))
	56.8%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32)))) (.f32 tau (.f32 x x))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32)))))
	56.8%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32)))) (.f32 tau (.f32 x x))) #s(approx (/ (sin ( (PI) x)) (* (PI) (PI))) (/.f32 x (PI.f32)))))
	65.6%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32)))) (.f32 tau (.f32 x x))) #s(approx (/ (sin ( (PI) x)) (* (PI) (PI))) (.f32 (fma.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x))))
	80.9%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) tau))))
	60.7%	#s(approx (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))

Compiler

Compiled 3 787 to 2 252 computations (40.5% saved)

simplify106.0ms (1.4%)

Memory

-5.2MiB live, 132.9MiB allocated; 14ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	450
0	113	448
1	238	448
2	865	444
3	4845	444
0	8730	433

Stop Event

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

Calls

Call 1

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

Outputs
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))
(sin.f32 (*.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))
(.f32 (.f32 (neg.f32 x) (PI.f32)) tau)
(.f32 tau (.f32 (PI.f32) (neg.f32 x)))
(*.f32 (neg.f32 x) (PI.f32))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 x)
x
(PI.f32)
tau
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau))
(.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (.f32 (.f32 x x) tau))
(.f32 (.f32 x (PI.f32)) tau)
(.f32 (.f32 (PI.f32) x) tau)
#s(approx (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) #s(literal 0 binary32))
#s(literal 0 binary32)
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) (.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) (.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))
(fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) (.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))
(.f32 (.f32 #s(literal -1/6 binary32) x) x)
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
x
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau)
(.f32 (.f32 (PI.f32) (PI.f32)) tau)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
tau
#s(literal 1 binary32)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (cos.f32 (fma.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (neg.f32 tau) (.f32 x x)))))
#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (/.f32 (cos.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32))) (.f32 (.f32 x x) tau)) (.f32 (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (cos.f32 (fma.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (neg.f32 tau) (.f32 x x))))
(.f32 (/.f32 (/.f32 (cos.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32))) (.f32 (.f32 x x) tau)) (.f32 (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (cos.f32 (fma.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32))))
(.f32 (cos.f32 (.f32 (fma.f32 tau x #s(literal 5/2 binary32)) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(cos.f32 (fma.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (fma.f32 tau x #s(literal 5/2 binary32)) (PI.f32)))
(fma.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32))
(*.f32 (fma.f32 tau x #s(literal 5/2 binary32)) (PI.f32))
(fma.f32 tau x #s(literal 3/2 binary32))
tau
#s(literal 3/2 binary32)
(.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (neg.f32 tau) (.f32 x x)))
(.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (.f32 (.f32 x x) tau))
(*.f32 (PI.f32) (PI.f32))
(.f32 (neg.f32 tau) (.f32 x x))
(.f32 (.f32 (neg.f32 x) x) tau)
(neg.f32 tau)
(*.f32 x x)
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))))
(/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))
(sin.f32 (*.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32)))
(fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))
(*.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))
(fma.f32 tau x #s(literal 1 binary32))
tau
x
#s(literal 1 binary32)
(PI.f32)
(.f32 (.f32 x (PI.f32)) tau)
(.f32 (.f32 (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))

localize176.0ms (2.3%)

Memory

-29.0MiB live, 314.6MiB allocated; 21ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.33984375	(fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))
accuracy	0.4333000488422102	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.44435502930532605	(/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))
accuracy	5.735360210599579	(sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))
accuracy	0.4128113281475362	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (cos.f32 (fma.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (neg.f32 tau) (.f32 x x))))
accuracy	0.41796875	(fma.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	5.855840852289905	(cos.f32 (fma.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)))
accuracy	0.33984375	(*.f32 #s(literal -1/6 binary32) x)
accuracy	0.4333000488422102	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	7.795416271849187	#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32)))
accuracy	29.979174644572556	#s(approx (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) #s(literal 0 binary32))
accuracy	0.38702517069416975	(sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))
accuracy	0.3991012695368841	(.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32))))
accuracy	0.40853500976844204	(.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.4128113281475362	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))

Samples

134.0ms

256×

valid

Compiler

Compiled 415 to 59 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 39.0ms (34.9% of total)

ival-sin: 15.0ms (13.4% of total)

ival-cos: 15.0ms (13.4% of total)

ival-sinu: 15.0ms (13.4% of total)

ival-div: 12.0ms (10.7% of total)

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

const: 3.0ms (2.7% of total)

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

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

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series59.0ms (0.8%)

Memory

30.8MiB live, 77.6MiB allocated; 3ms collecting garbage

Counts

22 → 122

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((/ (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau) (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* -1/6 x) x) (* (* (* (PI) (PI)) tau) tau)) 1) (* (* -1/6 x) x) (/ (* (sin (* x (PI))) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI)))) (* (* (PI) (PI)) (* (neg tau) (* x x)))) (+ (* (PI) (+ (* tau x) 3/2)) (PI)) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* x (PI))) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI)))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* -1/6 x) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI))))
10.0ms	x	@	inf	((/ (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau) (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* -1/6 x) x) (* (* (* (PI) (PI)) tau) tau)) 1) (* (* -1/6 x) x) (/ (* (sin (* x (PI))) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI)))) (* (* (PI) (PI)) (* (neg tau) (* x x)))) (+ (* (PI) (+ (* tau x) 3/2)) (PI)) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* x (PI))) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI)))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* -1/6 x) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI))))
9.0ms	tau	@	-inf	((/ (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau) (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* -1/6 x) x) (* (* (* (PI) (PI)) tau) tau)) 1) (* (* -1/6 x) x) (/ (* (sin (* x (PI))) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI)))) (* (* (PI) (PI)) (* (neg tau) (* x x)))) (+ (* (PI) (+ (* tau x) 3/2)) (PI)) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* x (PI))) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI)))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* -1/6 x) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI))))
9.0ms	tau	@	inf	((/ (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau) (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* -1/6 x) x) (* (* (* (PI) (PI)) tau) tau)) 1) (* (* -1/6 x) x) (/ (* (sin (* x (PI))) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI)))) (* (* (PI) (PI)) (* (neg tau) (* x x)))) (+ (* (PI) (+ (* tau x) 3/2)) (PI)) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* x (PI))) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI)))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* -1/6 x) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI))))
9.0ms	x	@	0	((/ (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau) (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* -1/6 x) x) (* (* (* (PI) (PI)) tau) tau)) 1) (* (* -1/6 x) x) (/ (* (sin (* x (PI))) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI)))) (* (* (PI) (PI)) (* (neg tau) (* x x)))) (+ (* (PI) (+ (* tau x) 3/2)) (PI)) (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* x (PI))) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI)))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* -1/6 x) (cos (+ (* (PI) (+ (* tau x) 3/2)) (PI))))

simplify160.0ms (2.1%)

Memory

-19.6MiB live, 161.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	800	3587
1	3163	3026
0	8777	2836

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 122

Calls

Call 1

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

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

rewrite176.0ms (2.3%)

Memory

32.7MiB live, 172.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	337
0	113	335
1	403	327
2	2878	309
0	8261	303

Stop Event

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

Counts

22 → 662

Calls

Call 1

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

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

eval85.0ms (1.1%)

Memory: -12.9MiB live, 121.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 34 523 to 3 674 computations (89.4% saved)

prune75.0ms (1%)

Memory

35.1MiB live, 132.4MiB allocated; 8ms collecting garbage

Pruning

68 alts after pruning (63 fresh and 5 done)

	Pruned	Kept	Total
New	754	22	776
Fresh	11	41	52
Picked	1	4	5
Done	0	1	1
Total	766	68	834

Accuracy

100.0%

Counts

834 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.6%	(/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) x) (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (fma.f32 (PI.f32) x (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	82.4%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (.f32 (PI.f32) tau) (PI.f32))) (neg.f32 (.f32 (neg.f32 x) (PI.f32)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	96.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) x))
	77.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
	82.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	79.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 (neg.f32 x) (.f32 (PI.f32) tau))))
	80.1%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	81.6%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) (*.f32 tau (PI.f32))) x))
	81.6%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (neg.f32 x)))
	81.6%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) tau) (.f32 (*.f32 x (PI.f32)) (PI.f32))))
	81.6%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) #s(approx ( (* (neg x) (PI)) (* (* x (PI)) tau)) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (neg.f32 x)) x) (.f32 tau (PI.f32))))
✓	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
	96.7%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (.f32 tau (PI.f32)) (.f32 (PI.f32) (neg.f32 x)))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))) (*.f32 x (PI.f32)))
	79.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))) (neg.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) (*.f32 (neg.f32 x) (PI.f32)))))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) (neg.f32 x))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) x)
	79.0%	(/.f32 (.f32 (sin.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	85.0%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	60.6%	(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) x) (.f32 (PI.f32) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	60.7%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 (PI.f32) x)))
	59.6%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	59.5%	(/.f32 #s(approx (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (.f32 (fma.f32 (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	59.4%	(/.f32 #s(approx (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (.f32 (fma.f32 (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) tau) x #s(literal 0 binary32)) x)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	59.5%	(/.f32 #s(approx (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
	80.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x))
	64.7%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	82.5%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (neg.f32 x)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	75.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (PI.f32))))
	67.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (.f32 x (PI.f32))))
	80.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ (+ ( (PI) x) (PI)) (PI))) (* x (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x) #s(literal -1/6 binary32) (.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) #s(literal -1/2 binary32))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	80.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	80.4%	(.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))))
	79.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (.f32 tau (.f32 x (PI.f32))))) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (PI.f32)))
	65.1%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (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))))
	80.5%	(.f32 (/.f32 (cos.f32 (+.f32 #s(approx (+ ( (+ (* tau x) 1) (PI)) (/ (PI) -2)) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 x tau)))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	74.7%	(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	82.5%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (neg.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (.f32 (PI.f32) x)))
	74.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
	60.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	79.0%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 tau x #s(literal 2 binary32)))) (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	58.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (.f32 (PI.f32) (neg.f32 x)))))
	59.5%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) (neg.f32 x))))
✓	75.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	75.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
	74.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	73.5%	#s(approx (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (fma.f32 (fma.f32 (fma.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))) #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
	73.9%	#s(approx (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) (/.f32 x x)))
✓	6.3%	#s(approx (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) #s(literal 0 binary32))
	96.9%	#s(approx (/ (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
	48.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) x))) (.f32 (PI.f32) x)))
	76.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 2 binary32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32)))))
	73.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
✓	59.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
	80.9%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)))) (.f32 (.f32 x x) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (PI.f32))))
	80.9%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (neg.f32 x) (PI.f32))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32))))) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (.f32 (*.f32 x x) tau))))
	77.6%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (fma.f32 (cos.f32 (/.f32 (pow.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)) (PI.f32)))) (cos.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)) (PI.f32)))) (.f32 (sin.f32 (/.f32 (pow.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)) (PI.f32)))) (sin.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)) (PI.f32))))))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (neg.f32 tau) (*.f32 x x)))))
✓	79.4%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (cos.f32 (fma.f32 (PI.f32) (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (neg.f32 tau) (.f32 x x)))))
	6.3%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (cos.f32 #s(approx (+ (* (PI) (+ (* tau x) 3/2)) (PI)) (.f32 (.f32 tau x) (PI.f32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (neg.f32 tau) (.f32 x x)))))
	80.9%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))) (/.f32 (cos.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32))) (.f32 (.f32 tau x) x))))
	56.8%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32)))) (.f32 tau (.f32 x x))) #s(approx (/ (sin ( (PI) x)) (* (PI) (PI))) (/.f32 x (PI.f32)))))
	65.6%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32)))) (.f32 tau (.f32 x x))) #s(approx (/ (sin ( (PI) x)) (* (PI) (PI))) (.f32 (fma.f32 (.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) x))))
	60.7%	#s(approx (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))

Compiler

Compiled 6 121 to 1 999 computations (67.3% saved)

regimes144.0ms (1.9%)

Memory

-26.5MiB live, 165.2MiB allocated; 32ms collecting garbage

Counts

118 → 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 (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (+ (* (PI) x) (PI)) (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (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)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
#s(approx (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (.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)))
#s(approx (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (fma.f32 (fma.f32 (fma.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))) #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(/.f32 #s(approx (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
(/.f32 #s(approx (* (sin (* (+ (* x tau) 1) (PI))) (sin (* x (PI)))) (.f32 (fma.f32 (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) tau) x #s(literal 0 binary32)) x)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
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(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))) (.f32 x (PI.f32)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) #s(literal 3/2 binary32)))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (/.f32 (cos.f32 (+.f32 #s(approx (+ ( (+ (* tau x) 1) (PI)) (/ (PI) -2)) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 x tau)))) (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))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (PI.f32))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 tau) (.f32 x (PI.f32)) (PI.f32))) (neg.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))) (.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (.f32 (PI.f32) tau) (PI.f32))) (neg.f32 (.f32 (neg.f32 x) (PI.f32)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x))
(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (cos.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))))) (.f32 (.f32 x (PI.f32)) (.f32 (neg.f32 x) (.f32 (PI.f32) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal 1/36 binary32) tau) tau (fma.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (cos.f32 (fma.f32 (.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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (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 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (cos.f32 (+.f32 (neg.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (.f32 x (PI.f32)) (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (fma.f32 x (PI.f32) (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (/.f32 (+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) x) (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (fma.f32 (PI.f32) x (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (*.f32 (cbrt.f32 (PI.f32)) tau))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (PI.f32)) tau))
#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 1) (PI)) (/ (PI) -2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (fma.f32 (cos.f32 (/.f32 (pow.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)) (PI.f32)))) (cos.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)) (PI.f32)))) (.f32 (sin.f32 (/.f32 (pow.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)) (PI.f32)))) (sin.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (fma.f32 tau x #s(literal 3/2 binary32)) (PI.f32)) (PI.f32))))))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (neg.f32 tau) (*.f32 x x)))))

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

Calls

4 calls:

50.0ms	(.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))))
31.0ms	x
29.0ms	(*.f32 x (PI.f32))
27.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes48.0ms (0.6%)

Memory

21.2MiB live, 67.0MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

4 calls:

13.0ms	x
12.0ms	tau
11.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
11.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
97.0%	1	`(*.f32 x (PI.f32))`
97.0%	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))))`
97.0%	1	`x`
97.0%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes47.0ms (0.6%)

Memory

12.3MiB live, 57.7MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

12.0ms	x
11.0ms	tau
11.0ms	(*.f32 x (PI.f32))
10.0ms	(.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
96.9%	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))))`
96.9%	1	`tau`
96.9%	1	`(*.f32 x (PI.f32))`
96.9%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes50.0ms (0.7%)

Memory

-5.0MiB live, 43.5MiB allocated; 9ms collecting garbage

Counts

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

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

Calls

4 calls:

17.0ms	tau
10.0ms	x
10.0ms	(*.f32 x (PI.f32))
10.0ms	(.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
96.7%	2	`(*.f32 x (PI.f32))`
96.7%	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))))`
96.7%	2	`x`
82.8%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes33.0ms (0.4%)

Memory

-13.1MiB live, 32.7MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

3 calls:

12.0ms	x
10.0ms	(*.f32 x (PI.f32))
10.0ms	(.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
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	`(*.f32 x (PI.f32))`
96.6%	2	`x`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes23.0ms (0.3%)

Memory

-24.1MiB live, 21.8MiB allocated; 2ms collecting garbage

Counts

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.6%	2	`(*.f32 x (PI.f32))`
96.6%	2	`x`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes30.0ms (0.4%)

Memory

31.5MiB live, 31.5MiB allocated; 0ms collecting garbage

Counts

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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	`(*.f32 x (PI.f32))`
96.6%	2	`x`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes37.0ms (0.5%)

Memory

-10.1MiB live, 35.3MiB allocated; 3ms collecting garbage

Counts

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

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

4 calls:

10.0ms	(*.f32 x (PI.f32))
8.0ms	tau
8.0ms	x
8.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes24.0ms (0.3%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Counts

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

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:

6.0ms	tau
6.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
6.0ms	(*.f32 x (PI.f32))
6.0ms	x

Results

Accuracy	Segments	Branch
80.4%	1	`(*.f32 x (PI.f32))`
80.4%	1	`x`
80.4%	1	`tau`
80.4%	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)

regimes31.0ms (0.4%)

Memory

-23.1MiB live, 24.6MiB allocated; 11ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

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))))
6.0ms	tau
5.0ms	x
5.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
75.1%	1	`(*.f32 x (PI.f32))`
75.1%	1	`x`
75.1%	1	`tau`
75.1%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes21.0ms (0.3%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

5.0ms	x
5.0ms	(.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))))
5.0ms	tau
5.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
74.9%	1	`(*.f32 x (PI.f32))`
74.9%	1	`x`
74.9%	1	`tau`
74.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes15.0ms (0.2%)

Memory

-30.7MiB live, 15.7MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

5.0ms	tau
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	(*.f32 x (PI.f32))
3.0ms	x

Results

Accuracy	Segments	Branch
73.9%	1	`(*.f32 x (PI.f32))`
73.9%	1	`x`
73.9%	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))))`
73.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Accuracy

Total -17.2b remaining (-134%)

Threshold costs -17.2b (-134%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
59.8%	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))))`
59.8%	1	`tau`
59.8%	1	`(*.f32 x (PI.f32))`
59.8%	1	`x`

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	0.0229922104626894	0.0232072900980711

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch0.0ms (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	0.031979069113731384	0.03433220833539963

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch0.0ms (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	0.030889825895428658	0.031979069113731384

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch0.0ms (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	0.030889825895428658	0.031979069113731384

Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify68.0ms (0.9%)

Memory

-9.7MiB live, 35.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	103	547
1	150	547
2	341	547
3	1209	545
4	3050	539
5	5019	539
6	6575	539
7	7281	539

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) (neg.f32 x))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
#s(approx (/ (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x 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 tau (PI.f32)) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau))))
(if (<=.f32 x #s(literal 8589935/268435456 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 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau))))
(if (<=.f32 x #s(literal 8321499/268435456 binary32)) (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 tau (PI.f32))) x)))
(if (<=.f32 x #s(literal 8321499/268435456 binary32)) (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) #s(approx (* (* (neg x) (PI)) (* (* x (PI)) 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 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Outputs
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) (neg.f32 x))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
#s(approx (/ (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 tau) x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
#s(approx (/ (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x 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 tau (PI.f32)) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau))))
(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 tau (PI.f32)) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))))
(if (<=.f32 x #s(literal 8589935/268435456 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 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau))))
(if (<=.f32 x #s(literal 8589935/268435456 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 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))))
(if (<=.f32 x #s(literal 8321499/268435456 binary32)) (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 tau (PI.f32))) x)))
(if (<=.f32 x #s(literal 8321499/268435456 binary32)) (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32))) x)))
(if (<=.f32 x #s(literal 8321499/268435456 binary32)) (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) #s(approx (* (* (neg x) (PI)) (* (* x (PI)) 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 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (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 (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* (neg x) (PI)) tau)) (sin (* x (PI)))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) #s(literal 1 binary32))

derivations1.2s (16.2%)

Memory

42.6MiB live, 494.7MiB allocated; 133ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	800	3587
1	3163	3026
0	8777	2836
0	68	337
0	113	335
1	403	327
2	2878	309
0	8261	303
0	10	56
0	18	56
1	54	56
2	349	54
3	3602	54
0	9348	54
0	833	3634
1	3313	3230
0	8218	3033
0	578	2597
1	2210	2467
2	6819	2402
0	8332	2255
0	213	816
1	797	792
2	3818	766
0	8021	709
0	65	330
0	111	317
1	428	289
2	2854	289
0	8411	283
0	44	270
0	79	260
1	288	250
2	1901	250
0	8324	250

Stop Event

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

Compiler

Compiled 545 to 102 computations (81.3% saved)

preprocess54.0ms (0.7%)

Memory

23.3MiB live, 68.2MiB allocated; 4ms collecting garbage

Remove

(abs x)

(abs tau)

Compiler

Compiled 1 636 to 464 computations (71.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze20.0ms (0.3%)

sample1.4s (18.6%)

explain139.0ms (1.8%)

preprocess135.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify98.0ms (1.3%)

localize74.0ms (1%)

series26.0ms (0.3%)

simplify226.0ms (3%)

rewrite153.0ms (2%)

eval95.0ms (1.3%)

prune71.0ms (0.9%)

simplify91.0ms (1.2%)

localize135.0ms (1.8%)

series84.0ms (1.1%)

simplify170.0ms (2.3%)

rewrite193.0ms (2.6%)

eval127.0ms (1.7%)

prune68.0ms (0.9%)

simplify98.0ms (1.3%)

localize248.0ms (3.3%)

series77.0ms (1%)

simplify132.0ms (1.7%)

rewrite204.0ms (2.7%)

eval710.0ms (9.4%)

prune75.0ms (1%)

simplify106.0ms (1.4%)

localize176.0ms (2.3%)

series59.0ms (0.8%)

simplify160.0ms (2.1%)

rewrite176.0ms (2.3%)

eval85.0ms (1.1%)

prune75.0ms (1%)

regimes144.0ms (1.9%)

regimes48.0ms (0.6%)

regimes47.0ms (0.6%)

regimes50.0ms (0.7%)

regimes33.0ms (0.4%)

regimes23.0ms (0.3%)

regimes30.0ms (0.4%)

regimes37.0ms (0.5%)

regimes24.0ms (0.3%)

regimes31.0ms (0.4%)

regimes21.0ms (0.3%)

regimes15.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify68.0ms (0.9%)

derivations1.2s (16.2%)

preprocess54.0ms (0.7%)

end0.0ms (0%)

Profiling