Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze37.0ms (0.3%)

Memory

2.2MiB live, 41.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.5s (13.5%)

Memory

37.1MiB live, 2 598.6MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 877.0ms

ival-mult: 157.0ms (17.9% of total)

ival-div: 141.0ms (16.1% of total)

ival-sinu: 134.0ms (15.3% of total)

const: 130.0ms (14.8% of total)

ival-sin: 126.0ms (14.4% of total)

ival-<=: 112.0ms (12.8% of total)

ival-pi: 44.0ms (5% of total)

ival-and: 23.0ms (2.6% of total)

exact: 8.0ms (0.9% of total)

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

Bogosity

explain138.0ms (1.3%)

Memory

-8.1MiB live, 242.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
3	-	3	(0.34183454513549805 2.9421443939208984)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	7
-	0	249

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	2	5
-	0	0	249

Precision?

1.0

Recall?

0.2857142857142857

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 211 to 44 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sin: 14.0ms (34.4% of total)

ival-mult: 9.0ms (22.1% of total)

ival-sinu: 8.0ms (19.7% of total)

ival-div: 6.0ms (14.8% of total)

ival-pi: 2.0ms (4.9% of total)

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

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

preprocess69.0ms (0.6%)

Memory

0.6MiB live, 78.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	123
1	88	123
2	415	107
3	2253	107
4	4724	107
5	6828	107
6	7824	107
0	10	21
0	18	21
1	31	21
2	88	21
3	296	21
4	699	21
5	1082	21
6	1115	21
7	1115	21
0	1115	21

Stop Event

1×	iter limit
1×	saturated
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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify25.0ms (0.2%)

Memory

-29.4MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	62
0	18	62
1	31	62
2	88	62
3	296	62
4	699	62
5	1082	62
6	1115	62
7	1115	62
0	1115	62

Stop Event

1×	iter limit
1×	saturated
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))

localize65.0ms (0.6%)

Memory

1.1MiB live, 38.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3046875	(*.f32 x (PI.f32))
accuracy	0.3551750488422101	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.3910471242722923	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.41148378907376804	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

24.0ms

256×

valid

Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions

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

ival-mult: 4.0ms (24.4% of total)

ival-sinu: 4.0ms (24.4% of total)

ival-sin: 4.0ms (24.4% of total)

ival-div: 3.0ms (18.3% of total)

ival-pi: 1.0ms (6.1% of total)

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

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

series31.0ms (0.3%)

Memory

11.0MiB live, 46.5MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
7.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
5.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
4.0ms	x	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
3.0ms	x	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))

simplify223.0ms (2%)

Memory

-0.7MiB live, 189.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1582
1	620	1562
2	2402	1538
3	4133	1538
4	4863	1538
5	5548	1538
6	5938	1538
7	5969	1538
8	5969	1538
0	8814	1486

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

rewrite174.0ms (1.6%)

Memory

22.7MiB live, 220.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	55
0	18	55
1	63	55
2	483	53
3	6485	53
0	8114	53

Stop Event

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

Counts

6 → 670

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
(.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau))
(.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (neg.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)) #s(literal -1 binary32)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (neg.f32 tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) tau))
(.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 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (neg.f32 x)) (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(.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 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(literal -1 binary32)) (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) tau))
(.f32 (/.f32 (neg.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 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
(.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 (/.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 (/.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))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))))
(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (neg.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 (/.f32 #s(literal 1 binary32) tau) (/.f32 #s(literal 1 binary32) (sin.f32 (.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)) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))))
(.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 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 tau) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) x) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) 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 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) (PI.f32)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) x)) tau) (/.f32 x (sin.f32 (*.f32 (PI.f32) x)))))
(.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 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) tau) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))))
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(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)))
(.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (pow.f32 (sin.f32 (*.f32 (PI.f32) x)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) x)) #s(literal 1 binary32)))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 x))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) x)
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(/.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) #s(literal -1 binary32)) (.f32 (PI.f32) x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 1 binary32)) (.f32 (PI.f32) x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (neg.f32 x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) #s(literal 1 binary32)) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)) #s(literal 1 binary32)) (neg.f32 (PI.f32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x))) (sqrt.f32 (PI.f32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) x)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x))) (neg.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 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (neg.f32 (PI.f32)))
(/.f32 #s(literal -1 binary32) (/.f32 (.f32 (neg.f32 (PI.f32)) x) (sin.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x))))
(/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) #s(literal 1 binary32))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)))
(pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) #s(literal -1 binary32))
(pow.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) #s(literal 1 binary32))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))))
(neg.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x)) #s(literal 1 binary32)))
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) x)
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 #s(literal -1 binary32) (.f32 (neg.f32 (PI.f32)) x))
(.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) x) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 (cbrt.f32 (PI.f32)) x) #s(literal 1 binary32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) x) #s(literal 1 binary32))
(*.f32 (PI.f32) (/.f32 x #s(literal 1 binary32)))
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (/.f32 (PI.f32) #s(literal 1 binary32)))
(*.f32 x (neg.f32 (neg.f32 (PI.f32))))
(*.f32 x (PI.f32))
(/.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) #s(literal -1 binary32))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) x))

eval94.0ms (0.9%)

Memory: 1.0MiB live, 223.7MiB allocated
Compiler: Compiled 25 723 to 2 350 computations (90.9% saved)

prune82.0ms (0.7%)

Memory

23.9MiB live, 185.7MiB allocated

Pruning

40 alts after pruning (40 fresh and 0 done)

	Pruned	Kept	Total
New	973	40	1 013
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	974	40	1 014

Accuracy

99.5%

Counts

1 014 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) x))
	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)
▶	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	96.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))
▶	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
	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))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
▶	97.6%	(/.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)))
	96.4%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	96.8%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (neg.f32 (PI.f32)) x)))
	96.9%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (.f32 (neg.f32 (PI.f32)) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
	96.1%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.2%	(.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))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	97.1%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (*.f32 tau x)))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))))
	31.1%	(.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))))
	68.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #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))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.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))))
	97.3%	(.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)))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) tau)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
▶	97.3%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) x))
	97.2%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	97.1%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.9%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
	97.2%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
	89.1%	(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #s(literal -1 binary32)))
	61.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
▶	61.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 926 to 1 094 computations (43.2% saved)

simplify92.0ms (0.8%)

Memory

-4.4MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
cost-diff	800	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
cost-diff	0	(.f32 tau (.f32 (PI.f32) x))
cost-diff	0	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
cost-diff	192	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) x))
cost-diff	0	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
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 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	317
0	52	313
1	121	313
2	346	313
3	1318	313
4	2886	313
5	2958	313
6	2961	313
7	2961	313
8	4073	313
9	4142	313
10	4147	313
11	4147	313
12	4147	313
13	4262	313
14	4262	313
15	4262	313
0	4262	313

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize90.0ms (0.8%)

Memory

-12.6MiB live, 141.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.3910471242722923	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.40462875976844204	(.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.4131050293053261	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
accuracy	0.4498825195368841	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))
accuracy	0.375	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
accuracy	0.3910471242722923	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.41796875	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.47884750976844204	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) x))
accuracy	0.3046875	(*.f32 (PI.f32) x)
accuracy	0.32259750976844204	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.3910471242722923	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4091987793053261	(/.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)))
accuracy	12.459555359613434	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.3910471242722923	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.39423754884221013	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
accuracy	0.40625	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
accuracy	0.41796875	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))

Samples

68.0ms

256×

valid

Compiler

Compiled 634 to 63 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 24.0ms (44.8% of total)

ival-div: 16.0ms (29.9% of total)

ival-sin: 6.0ms (11.2% of total)

ival-sinu: 5.0ms (9.3% of total)

ival-sqrt: 2.0ms (3.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.5%)

Memory

-6.7MiB live, 78.0MiB allocated

Counts

17 → 372

Calls

Call 1

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

Outputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(/ 1 tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
1
(+ 1 (* (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 (* (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))))))))
(* 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 (* (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)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
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) (sqrt (pow (PI) 3)))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (sqrt (/ 1 (PI))))))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (sqrt (/ 1 (PI))))))))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))) (sqrt (/ 1 (PI))))))))))
(sqrt (PI))
(+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5)))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9)))))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sqrt (pow (PI) 13)))) (* 1/120 (sqrt (pow (PI) 9))))))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (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 (* x (PI)))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(* tau (sin (* x (PI))))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
tau
(* 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 (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(* tau x)
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(* (* tau (sin (* x (PI)))) (sqrt (PI)))
(* tau (+ (* -1/6 (* (* (pow tau 2) (* (pow x 2) (sin (* x (PI))))) (sqrt (pow (PI) 5)))) (* (sqrt (PI)) (sin (* x (PI))))))
(* tau (+ (* (sqrt (PI)) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* (pow x 2) (sin (* x (PI)))) (sqrt (pow (PI) 5)))) (* 1/120 (* (* (pow tau 2) (* (pow x 4) (sin (* x (PI))))) (sqrt (pow (PI) 9))))))))
(* tau (+ (* (sqrt (PI)) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* (pow x 2) (sin (* x (PI)))) (sqrt (pow (PI) 5)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (* (pow x 6) (sin (* x (PI))))) (sqrt (pow (PI) 13)))) (* 1/120 (* (* (pow x 4) (sin (* x (PI)))) (sqrt (pow (PI) 9))))))))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (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)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (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)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (PI)) (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) x)) (/ (sin (* tau (* (PI) x))) (PI)) (* tau (* (PI) x)) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (* (PI) x) (* (sqrt (PI)) (* tau (* (PI) x))))
11.0ms	tau	@	0	((/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (PI)) (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) x)) (/ (sin (* tau (* (PI) x))) (PI)) (* tau (* (PI) x)) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (* (PI) x) (* (sqrt (PI)) (* tau (* (PI) x))))
7.0ms	tau	@	-inf	((/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (PI)) (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) x)) (/ (sin (* tau (* (PI) x))) (PI)) (* tau (* (PI) x)) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (* (PI) x) (* (sqrt (PI)) (* tau (* (PI) x))))
6.0ms	x	@	0	((/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (PI)) (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) x)) (/ (sin (* tau (* (PI) x))) (PI)) (* tau (* (PI) x)) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (* (PI) x) (* (sqrt (PI)) (* tau (* (PI) x))))
6.0ms	x	@	inf	((/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (PI)) (/ (/ (sin (* (PI) x)) (* tau (* (PI) x))) x)) (/ (sin (* tau (* (PI) x))) (PI)) (* tau (* (PI) x)) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (* (PI) x) (* (sqrt (PI)) (* tau (* (PI) x))))

simplify215.0ms (2%)

Memory

17.3MiB live, 240.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	477	6790
1	1620	6600
2	5965	6397
3	7674	6397
0	8068	6182

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 370

Calls

Call 1

Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(/ 1 tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
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1
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(* tau (* x (PI)))
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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)))))))
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(* 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 (* (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)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
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(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
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) (sqrt (pow (PI) 3)))
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(sqrt (PI))
(+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5)))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9)))))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sqrt (pow (PI) 13)))) (* 1/120 (sqrt (pow (PI) 9))))))))
(* x (PI))
(* x (PI))
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(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
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(* x (PI))
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(* (* tau x) (sqrt (pow (PI) 3)))
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(* (* tau x) (sqrt (pow (PI) 3)))
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(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(sin (* x (PI)))
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(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
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(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
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(+ (* (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
(* 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 (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(/ (sin (* x (PI))) (* x (PI)))
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(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(* tau x)
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
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(+ (* -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)))) (sqrt (PI)))
(* tau (+ (* -1/6 (* (* (pow tau 2) (* (pow x 2) (sin (* x (PI))))) (sqrt (pow (PI) 5)))) (* (sqrt (PI)) (sin (* x (PI))))))
(* tau (+ (* (sqrt (PI)) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* (pow x 2) (sin (* x (PI)))) (sqrt (pow (PI) 5)))) (* 1/120 (* (* (pow tau 2) (* (pow x 4) (sin (* x (PI))))) (sqrt (pow (PI) 9))))))))
(* tau (+ (* (sqrt (PI)) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* (pow x 2) (sin (* x (PI)))) (sqrt (pow (PI) 5)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (* (pow x 6) (sin (* x (PI))))) (sqrt (pow (PI) 13)))) (* 1/120 (* (* (pow x 4) (sin (* x (PI)))) (sqrt (pow (PI) 9))))))))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (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)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (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)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(/ (sin (* tau (* x (PI)))) (PI))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))

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 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.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 tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x))) (.f32 x x))) (.f32 (PI.f32) x))
(/ 1 tau)
(/.f32 #s(literal 1 binary32) tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(fma.f32 (.f32 (.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32)) x) x (/.f32 #s(literal 1 binary32) tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(fma.f32 (fma.f32 (.f32 (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) #s(literal 1/120 binary32)) x) x (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (PI.f32) tau) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (/.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) tau) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) #s(literal 1/120 binary32))) (.f32 x x))) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))
(* 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)))))))
(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 x #s(literal 3 binary32)) (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 (PI.f32) x))
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 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
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 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau)) (.f32 (.f32 (PI.f32) x) tau))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32)))) (.f32 x x) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau))) (.f32 (*.f32 (PI.f32) x) tau))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/720 binary32) (+.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 tau #s(literal 5 binary32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau)))) (.f32 x x))) (.f32 x x) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau))) (.f32 x x) (*.f32 (PI.f32) tau)) x)
tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) (PI.f32)) (PI.f32)) tau)
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) x) x) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (PI.f32)) (PI.f32))) (*.f32 x x) tau)
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
(fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) x))) (.f32 x x))) (.f32 x x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (.f32 (PI.f32) x) tau))
(* 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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) x) x))) (.f32 x x))) (.f32 (.f32 (PI.f32) x) tau))
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 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* tau x)
(*.f32 tau x)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) (PI.f32)) (PI.f32)) tau) x)
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) x) x) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (PI.f32)) (PI.f32))) (*.f32 tau x))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) x))) (.f32 x x))) (.f32 tau x))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
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 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 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 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 tau x))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (sqrt (/ 1 (PI))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau))) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau x)))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (sqrt (/ 1 (PI))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32)))) (.f32 x x) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau)))) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 tau x)))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))) (sqrt (/ 1 (PI))))))))))
(fma.f32 (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) x) tau (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32)))) (.f32 x x) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau))) (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (+.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 tau #s(literal 5 binary32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau)))) (.f32 x x)) (.f32 x x)))) (pow.f32 x #s(literal 3 binary32))))
(sqrt (PI))
(sqrt.f32 (PI.f32))
(+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5)))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) (sqrt.f32 (PI.f32)))
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9)))))))
(fma.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 9 binary32))) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal -1/6 binary32))) (.f32 x x) (sqrt.f32 (PI.f32)))
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sqrt (pow (PI) 13)))) (* 1/120 (sqrt (pow (PI) 9))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 13 binary32))) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 9 binary32))) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal -1/6 binary32))) (.f32 x x) (sqrt.f32 (PI.f32)))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 tau x))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 tau x))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 tau x))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 tau x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
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(* (* tau x) (sqrt (pow (PI) 3)))
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(/ (sin (* x (PI))) (* x (PI)))
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(* tau (sin (* x (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) tau)
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(.f32 (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
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(* 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))))))))))))
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tau
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) (PI.f32)) (PI.f32)) tau)
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))
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(* 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)))))))))
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(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
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(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
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(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
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(/ (sin (* x (PI))) (* x (PI)))
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(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
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(+ (* (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))))
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(* tau x)
(*.f32 tau x)
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (PI.f32)) (PI.f32)) x) tau)
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
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(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
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(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
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(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #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 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 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)))
(* (* tau (sin (* x (PI)))) (sqrt (PI)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (+ (* -1/6 (* (* (pow tau 2) (* (pow x 2) (sin (* x (PI))))) (sqrt (pow (PI) 5)))) (* (sqrt (PI)) (sin (* x (PI))))))
(.f32 (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (sin.f32 (.f32 (PI.f32) x)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 (sqrt.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) tau)
(* tau (+ (* (sqrt (PI)) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* (pow x 2) (sin (* x (PI)))) (sqrt (pow (PI) 5)))) (* 1/120 (* (* (pow tau 2) (* (pow x 4) (sin (* x (PI))))) (sqrt (pow (PI) 9))))))))
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(* tau (+ (* (sqrt (PI)) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* (pow x 2) (sin (* x (PI)))) (sqrt (pow (PI) 5)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (* (pow x 6) (sin (* x (PI))))) (sqrt (pow (PI) 13)))) (* 1/120 (* (* (pow x 4) (sin (* x (PI)))) (sqrt (pow (PI) 9))))))))))
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(* tau (* x (PI)))
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(* tau (* x (PI)))
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(* tau (* x (PI)))
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(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
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(* (* tau x) (sqrt (pow (PI) 3)))
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(* (* tau x) (sqrt (pow (PI) 3)))
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(* (* tau x) (sqrt (pow (PI) 3)))
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(.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)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 tau x))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 tau x))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 tau x))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 tau x))

rewrite200.0ms (1.8%)

Memory

30.9MiB live, 231.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	222
0	52	218
1	220	218
2	1539	208
3	7247	208
0	8131	208

Stop Event

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

Counts

17 → 1 648

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (.f32 (neg.f32 x) (sqrt.f32 (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (neg.f32 (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (neg.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
(.f32 (pow.f32 (/.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1/2 binary32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (*.f32 x (PI.f32))) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (pow.f32 (/.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32)) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) x))
(.f32 (pow.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (/.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (pow.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) #s(literal -1 binary32)) (pow.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) x)) #s(literal -1 binary32)))
(.f32 (pow.f32 (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) x)) #s(literal -1 binary32)) (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x (PI.f32))) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(.f32 (pow.f32 (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32)) (pow.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) x) #s(literal -1 binary32)))
(.f32 (pow.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x) #s(literal -1 binary32)) (pow.f32 (/.f32 (.f32 tau (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (.f32 (.f32 tau (PI.f32)) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) #s(literal -1 binary32)) (pow.f32 (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) x)) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x)) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32))))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (*.f32 x (PI.f32))))) (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) tau)) (pow.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) x) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) (pow.f32 (.f32 (/.f32 x (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (*.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(.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))))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) x))
(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) x))
(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (/.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) x))
(.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)))) (/.f32 #s(literal 1 binary32) tau))
(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) x)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) tau) (.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)))))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 x (PI.f32))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32)))))
(.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (pow.f32 (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (cbrt.f32 (PI.f32))) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -2 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) x)) (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (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))
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(neg.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (neg.f32 x)) #s(literal 1 binary32)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (neg.f32 x)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))
(.f32 #s(literal -1 binary32) (.f32 (neg.f32 (PI.f32)) x))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))
(.f32 (.f32 x (PI.f32)) #s(literal 1 binary32))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(/.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))
(/.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (PI.f32)) x))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) x))
(.f32 (neg.f32 (.f32 (neg.f32 tau) (sqrt.f32 (PI.f32)))) (*.f32 x (PI.f32)))
(.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (.f32 tau (*.f32 x (PI.f32))))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (PI.f32)) x)
(.f32 (.f32 (*.f32 tau (PI.f32)) (sqrt.f32 (PI.f32))) x)
(.f32 (.f32 (sqrt.f32 (PI.f32)) (*.f32 x (PI.f32))) tau)
(.f32 (.f32 (neg.f32 tau) (sqrt.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) x) (neg.f32 (PI.f32))))
(.f32 (.f32 tau (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 x (PI.f32)))
(.f32 (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau) (neg.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (*.f32 tau (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 x (PI.f32))))
(.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32)))
(.f32 (.f32 tau (*.f32 x (PI.f32))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (.f32 tau (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 tau (.f32 (sqrt.f32 (PI.f32)) (*.f32 x (PI.f32))))
(.f32 (.f32 x (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) tau))
(.f32 x (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (PI.f32)))
(.f32 x (.f32 (*.f32 tau (PI.f32)) (sqrt.f32 (PI.f32))))
(.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x))
(/.f32 (.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x) (neg.f32 (PI.f32))) #s(literal -1 binary32))
(/.f32 (.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 tau (.f32 x (PI.f32)))))
(-.f32 #s(literal 0 binary32) (.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x) (neg.f32 (PI.f32))))
(neg.f32 (.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x) (neg.f32 (PI.f32))))

eval389.0ms (3.5%)

Memory: 28.1MiB live, 398.6MiB allocated
Compiler: Compiled 79 734 to 3 510 computations (95.6% saved)

prune280.0ms (2.6%)

Memory

-53.6MiB live, 530.8MiB allocated

Pruning

53 alts after pruning (51 fresh and 2 done)

	Pruned	Kept	Total
New	2 940	36	2 976
Fresh	20	15	35
Picked	3	2	5
Done	0	0	0
Total	2 963	53	3 016

Accuracy

99.6%

Counts

3 016 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
	96.9%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	95.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	96.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (*.f32 (PI.f32) x))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) x)
	95.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)))) (.f32 tau (.f32 (PI.f32) x)))
✓	97.6%	(/.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)))
	68.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (*.f32 x (PI.f32))) x))
▶	68.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.9%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	97.0%	(/.f32 (.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	96.4%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	96.4%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
	69.0%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (sqrt (PI)) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.1%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
	97.5%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
	61.7%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
▶	61.8%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	61.8%	(/.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)))
	97.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
	96.1%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (*.f32 tau x)))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))))
	30.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	68.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.0%	(.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))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) x))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))) (.f32 tau (*.f32 (PI.f32) x))) x))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x))) x))
	68.7%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))) x))
	68.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) x))
	97.0%	(.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
	97.1%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.2%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (PI.f32)))))
	61.7%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) x))
	89.0%	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
✓	61.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 588 to 1 484 computations (42.7% saved)

simplify190.0ms (1.7%)

Memory

21.3MiB live, 177.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(.f32 tau (.f32 (PI.f32) x))
cost-diff	0	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
cost-diff	0	#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))
cost-diff	0	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
cost-diff	992	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	#s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (*.f32 (PI.f32) x)))
cost-diff	0	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
cost-diff	0	(.f32 tau (.f32 x (PI.f32)))
cost-diff	0	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
cost-diff	0	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
cost-diff	0	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	408
0	83	390
1	194	390
2	582	390
3	3046	386
4	5159	386
5	7515	386
0	8054	386

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (1.1%)

Memory

1.9MiB live, 234.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3125	(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))
accuracy	0.3551750488422101	(/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (.f32 x (PI.f32)))
accuracy	0.3910471242722923	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.41148378907376804	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.32421875	(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
accuracy	0.3910471242722923	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.3984375	(.f32 (PI.f32) (.f32 (PI.f32) x))
accuracy	0.4147262695368841	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
accuracy	0.40462875976844204	(.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.4131050293053261	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
accuracy	0.4498825195368841	(/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))
accuracy	9.652830011481885	#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
accuracy	0.2433562813218253	(sin.f32 (*.f32 (PI.f32) x))
accuracy	0.3046875	(*.f32 (PI.f32) x)
accuracy	0.39423754884221013	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
accuracy	11.900181181045786	#s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (*.f32 (PI.f32) x)))
accuracy	0.3359375	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
accuracy	0.36556625976844204	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
accuracy	0.3910471242722923	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.39423754884221013	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))

Samples

81.0ms

256×

valid

Compiler

Compiled 792 to 86 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 22.0ms (34.5% of total)

ival-div: 16.0ms (25.1% of total)

ival-sin: 15.0ms (23.5% of total)

ival-sinu: 5.0ms (7.8% of total)

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

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

ival-pi: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series71.0ms (0.7%)

Memory

-16.0MiB live, 66.1MiB allocated

Counts

26 → 516

Calls

Call 1

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

Outputs
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(* x (PI))
(* 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))))))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
1
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(* tau (+ (* -1/6 (* (* (pow tau 2) (* (pow x 2) (sin (* x (PI))))) (sqrt (pow (PI) 5)))) (* (sqrt (PI)) (sin (* x (PI))))))
(* tau (+ (* (sqrt (PI)) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* (pow x 2) (sin (* x (PI)))) (sqrt (pow (PI) 5)))) (* 1/120 (* (* (pow tau 2) (* (pow x 4) (sin (* x (PI))))) (sqrt (pow (PI) 9))))))))
(* tau (+ (* (sqrt (PI)) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* (pow x 2) (sin (* x (PI)))) (sqrt (pow (PI) 5)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (* (pow x 6) (sin (* x (PI))))) (sqrt (pow (PI) 13)))) (* 1/120 (* (* (pow x 4) (sin (* x (PI)))) (sqrt (pow (PI) 9))))))))))
(* -1 (* tau (* x (PI))))
(* tau (- (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (- (* (pow tau 2) (- (* -1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* x (PI))))
(* tau (- (* (pow tau 2) (- (* (pow tau 2) (- (* 1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (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 (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* (PI) x)) (neg (sin (* tau (* (PI) x)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ 1 (/ 1 (* (PI) x))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (* (sqrt (PI)) (* tau (* (PI) x))) (* (neg (sin (* tau (* (PI) x)))) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau)))) (* (PI) (* (PI) x)) (/ (sin (* (PI) x)) x) (/ (sin (/ 1 (/ 1 (* (PI) x)))) (* x (PI))) (/ 1 (* (PI) x)))
5.0ms	x	@	inf	((/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* (PI) x)) (neg (sin (* tau (* (PI) x)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ 1 (/ 1 (* (PI) x))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (* (sqrt (PI)) (* tau (* (PI) x))) (* (neg (sin (* tau (* (PI) x)))) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau)))) (* (PI) (* (PI) x)) (/ (sin (* (PI) x)) x) (/ (sin (/ 1 (/ 1 (* (PI) x)))) (* x (PI))) (/ 1 (* (PI) x)))
4.0ms	tau	@	-inf	((/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* (PI) x)) (neg (sin (* tau (* (PI) x)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ 1 (/ 1 (* (PI) x))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (* (sqrt (PI)) (* tau (* (PI) x))) (* (neg (sin (* tau (* (PI) x)))) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau)))) (* (PI) (* (PI) x)) (/ (sin (* (PI) x)) x) (/ (sin (/ 1 (/ 1 (* (PI) x)))) (* x (PI))) (/ 1 (* (PI) x)))
4.0ms	x	@	0	((/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* (PI) x)) (neg (sin (* tau (* (PI) x)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ 1 (/ 1 (* (PI) x))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (* (sqrt (PI)) (* tau (* (PI) x))) (* (neg (sin (* tau (* (PI) x)))) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau)))) (* (PI) (* (PI) x)) (/ (sin (* (PI) x)) x) (/ (sin (/ 1 (/ 1 (* (PI) x)))) (* x (PI))) (/ 1 (* (PI) x)))
4.0ms	tau	@	inf	((/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* (PI) x)) (neg (sin (* tau (* (PI) x)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ 1 (/ 1 (* (PI) x))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (* (sqrt (PI)) (* tau (* (PI) x))) (* (neg (sin (* tau (* (PI) x)))) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau)))) (* (PI) (* (PI) x)) (/ (sin (* (PI) x)) x) (/ (sin (/ 1 (/ 1 (* (PI) x)))) (* x (PI))) (/ 1 (* (PI) x)))

simplify213.0ms (1.9%)

Memory

45.3MiB live, 272.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	463	7792
1	1544	7606
2	5934	7389
0	8164	7143

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

Inputs
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
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))
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(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(sin (* x (PI)))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(* (* tau (sin (* x (PI)))) (sqrt (PI)))
(* tau (+ (* -1/6 (* (* (pow tau 2) (* (pow x 2) (sin (* x (PI))))) (sqrt (pow (PI) 5)))) (* (sqrt (PI)) (sin (* x (PI))))))
(* tau (+ (* (sqrt (PI)) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* (pow x 2) (sin (* x (PI)))) (sqrt (pow (PI) 5)))) (* 1/120 (* (* (pow tau 2) (* (pow x 4) (sin (* x (PI))))) (sqrt (pow (PI) 9))))))))
(* tau (+ (* (sqrt (PI)) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* (pow x 2) (sin (* x (PI)))) (sqrt (pow (PI) 5)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (* (pow x 6) (sin (* x (PI))))) (sqrt (pow (PI) 13)))) (* 1/120 (* (* (pow x 4) (sin (* x (PI)))) (sqrt (pow (PI) 9))))))))))
(* -1 (* tau (* x (PI))))
(* tau (- (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (- (* (pow tau 2) (- (* -1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* x (PI))))
(* tau (- (* (pow tau 2) (- (* (pow tau 2) (- (* 1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (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 (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))

Outputs
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.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 tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 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 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 5 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 7 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 (PI.f32) x))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x) x)
(* (pow x 2) (+ (* 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 (PI.f32) tau) (PI.f32) (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau)) (.f32 x x))) (*.f32 x x))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(.f32 (fma.f32 (.f32 (PI.f32) tau) (PI.f32) (.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32)))) (.f32 x x))) (.f32 x x))) (.f32 x x))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(.f32 (fma.f32 (.f32 (PI.f32) tau) (PI.f32) (.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau) (.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (+.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 tau #s(literal 5 binary32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32))))) (.f32 x x))) (.f32 x x))) (*.f32 x x))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(fma.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (.f32 (PI.f32) x) tau))
(* 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 (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 (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (fma.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 (.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 x x))) (.f32 (.f32 (PI.f32) x) tau))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
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))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.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 tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 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 (PI.f32) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 5 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 7 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 (PI.f32) x))
(* 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)))))))
(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 x #s(literal 3 binary32)) (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 (PI.f32) x))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
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))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (sqrt (/ 1 (PI))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 x tau)))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (sqrt (/ 1 (PI))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32)))) (.f32 x x)))) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau)))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))) (sqrt (/ 1 (PI))))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/6 binary32)) (+.f32 (pow.f32 tau #s(literal 3 binary32)) tau) (.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (+.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 tau #s(literal 5 binary32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32))))) (.f32 x x)))) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 x tau)))
(sqrt (PI))
(sqrt.f32 (PI.f32))
(+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5)))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) (sqrt.f32 (PI.f32)))
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9)))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 9 binary32))) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal -1/6 binary32))) (.f32 x x) (sqrt.f32 (PI.f32)))
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sqrt (pow (PI) 13)))) (* 1/120 (sqrt (pow (PI) 9))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 13 binary32))) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 9 binary32))) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal -1/6 binary32))) (.f32 x x) (sqrt.f32 (PI.f32)))
(* 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)))))))
(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 x #s(literal 3 binary32)) (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 (PI.f32) x))
(* -1 (* tau (* x (PI))))
(.f32 (.f32 (neg.f32 tau) x) (PI.f32))
(* x (- (* 1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) x) x)) (.f32 (PI.f32) tau)) x)
(* x (- (* (pow x 2) (- (* -1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))) (* tau (PI))))
(.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 tau #s(literal 3 binary32)) (.f32 (.f32 #s(literal -1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) x) x))) (.f32 x x)) (*.f32 (PI.f32) tau)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))) (* tau (PI))))
(.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 tau #s(literal 3 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 tau #s(literal 5 binary32)) (.f32 (.f32 #s(literal 1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) x) x))) (.f32 x x))) (.f32 x x)) (.f32 (PI.f32) tau)) x)
(* 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 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (.f32 (PI.f32) x) tau))
(* 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 (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 (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (fma.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 (.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 x x))) (.f32 (.f32 (PI.f32) x) tau))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (fma.f32 (.f32 #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 (PI.f32) (PI.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))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) x))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(fma.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (.f32 (PI.f32) x) tau))
(* 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 (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 (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (fma.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 (.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 x x))) (.f32 (.f32 (PI.f32) x) tau))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
1
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(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 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 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) tau) tau) (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 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 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.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))) (pow.f32 tau #s(literal 3 binary32)) (.f32 (.f32 (PI.f32) x) tau))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #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 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 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)))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (sin.f32 (*.f32 (PI.f32) x)))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 (.f32 tau tau) (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))) (.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x)))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (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)))))) (pow.f32 tau #s(literal 4 binary32))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #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 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 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)))
(* (* tau (sin (* x (PI)))) (sqrt (PI)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (+ (* -1/6 (* (* (pow tau 2) (* (pow x 2) (sin (* x (PI))))) (sqrt (pow (PI) 5)))) (* (sqrt (PI)) (sin (* x (PI))))))
(.f32 (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (sin.f32 (.f32 (PI.f32) x)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))) tau)
(* tau (+ (* (sqrt (PI)) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* (pow x 2) (sin (* x (PI)))) (sqrt (pow (PI) 5)))) (* 1/120 (* (* (pow tau 2) (* (pow x 4) (sin (* x (PI))))) (sqrt (pow (PI) 9))))))))
(fma.f32 (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (sin.f32 (.f32 (PI.f32) x)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 9 binary32))) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (sin.f32 (.f32 (PI.f32) x))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))))) (pow.f32 tau #s(literal 3 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (sin.f32 (*.f32 (PI.f32) x))))
(* tau (+ (* (sqrt (PI)) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* (pow x 2) (sin (* x (PI)))) (sqrt (pow (PI) 5)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (* (pow x 6) (sin (* x (PI))))) (sqrt (pow (PI) 13)))) (* 1/120 (* (* (pow x 4) (sin (* x (PI)))) (sqrt (pow (PI) 9))))))))))
(.f32 (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (sin.f32 (.f32 (PI.f32) x)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (sin.f32 (.f32 (PI.f32) x))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 9 binary32))) (.f32 (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 6 binary32)) (sin.f32 (.f32 (PI.f32) x)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 13 binary32))))) (pow.f32 tau #s(literal 4 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))) tau)
(* -1 (* tau (* x (PI))))
(.f32 (.f32 (neg.f32 tau) x) (PI.f32))
(* tau (- (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (PI.f32) x)) tau)
(* tau (- (* (pow tau 2) (- (* -1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* x (PI))))
(.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 x #s(literal 3 binary32)) (.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 tau tau)) (*.f32 (PI.f32) x)) tau)
(* tau (- (* (pow tau 2) (- (* (pow tau 2) (- (* 1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* x (PI))))
(.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 x #s(literal 3 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 x #s(literal 5 binary32)) (.f32 (.f32 #s(literal 1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 tau tau))) (.f32 tau tau)) (.f32 (PI.f32) x)) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 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 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) tau) tau) (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 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 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.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))) (pow.f32 tau #s(literal 3 binary32)) (.f32 (.f32 (PI.f32) x) tau))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
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(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x (.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 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 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) tau) tau) (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 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 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.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))) (pow.f32 tau #s(literal 3 binary32)) (.f32 (.f32 (PI.f32) x) tau))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #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 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 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)))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
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(/ (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)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau))
(/ (sin (* 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 (* tau (* x (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x x)))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x x)))

rewrite476.0ms (4.3%)

Memory

-146.2MiB live, 283.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	292
0	81	282
1	296	278
2	1852	273
0	8412	273

Stop Event

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

Counts

26 → 1 197

Calls

Call 1

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

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

eval310.0ms (2.8%)

Memory: -0.3MiB live, 416.6MiB allocated
Compiler: Compiled 74 242 to 4 883 computations (93.4% saved)

prune271.0ms (2.5%)

Memory

15.8MiB live, 505.1MiB allocated

Pruning

125 alts after pruning (120 fresh and 5 done)

	Pruned	Kept	Total
New	2 376	83	2 459
Fresh	9	37	46
Picked	2	3	5
Done	0	2	2
Total	2 387	125	2 512

Accuracy

99.6%

Counts

2 512 → 125

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.7%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.8%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) x) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.7%	(/.f32 (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
	68.9%	(/.f32 (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (neg.f32 x)) (neg.f32 (.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))))
▶	68.8%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) tau)) (.f32 (PI.f32) x))
	68.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau)
	68.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 (PI.f32) tau)) x)
	68.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 x tau)) (PI.f32))
	68.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) x) (*.f32 (PI.f32) tau))
	68.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
	68.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) x)) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	95.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 x tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (.f32 (PI.f32) x))
✓	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
	68.7%	(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) x) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	61.7%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
	61.8%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (*.f32 (PI.f32) x))) x) (PI.f32))
	60.8%	(/.f32 (/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x) x)) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
	68.8%	(/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))))
	69.0%	(/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
	68.7%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.7%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) x))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	96.9%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
	68.8%	(/.f32 (.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.7%	(/.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) x)) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	95.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	96.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32))) (.f32 (PI.f32) x))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (*.f32 (PI.f32) x))
▶	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) x)
✓	97.6%	(/.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)))
	68.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (*.f32 x (PI.f32))) x))
	68.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (sqrt.f32 (PI.f32)))
	68.9%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) tau))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (/.f32 x (/.f32 #s(literal 1 binary32) (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (PI.f32)) x))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32)))
	68.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) x)) tau))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) tau)) x))
	68.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (PI.f32) x)))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau))))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (PI.f32) tau) x)))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 x tau) (PI.f32))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (/.f32 x (/.f32 #s(literal 1 binary32) (PI.f32))))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))))
	60.9%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) #s(approx (sin (* tau (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))) (.f32 (.f32 (neg.f32 (PI.f32)) tau) x))
	68.9%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	68.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x)) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	97.0%	(/.f32 (.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	96.4%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	68.7%	(/.f32 (.f32 (.f32 (neg.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	96.4%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
	69.0%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (sqrt (PI)) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	68.8%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (sqrt.f32 (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	97.1%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
▶	97.5%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
▶	68.7%	(/.f32 (neg.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
	9.9%	(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	61.7%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
✓	61.8%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	61.8%	(/.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)))
	97.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
	68.7%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))))
	68.8%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))))
	68.7%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (sqrt.f32 (PI.f32)) tau))))
	69.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) tau)))
	61.9%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) #s(approx ( (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (*.f32 (PI.f32) x)))))
	68.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) x)))
	68.9%	(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
	68.7%	(.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sqrt.f32 (PI.f32))))
	68.8%	(.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)))
	68.8%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
	68.7%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))
	68.9%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))
	68.7%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
	68.7%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))
	68.8%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
	68.8%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
	97.1%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (*.f32 tau x)))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) #s(literal -1/2 binary32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))) (.f32 x (PI.f32))))
✓	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))))
	68.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (/ 1 (/ 1 ( (PI) x)))) (* x (PI))) #s(literal 1 binary32)))
	32.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) x))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))) (.f32 tau (*.f32 (PI.f32) x))) x))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x))) x))
	68.7%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))) x))
	68.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) x))
	61.7%	(.f32 (/.f32 #s(approx ( (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
	61.8%	(.f32 (/.f32 #s(approx ( (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (*.f32 (PI.f32) x))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
	61.8%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (*.f32 (PI.f32) x))))
	96.4%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) x)))
	97.0%	(.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
	97.1%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	68.8%	(.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) tau)))
	96.9%	(.f32 (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
	96.7%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 1/2 binary32)) #s(literal 2 binary32))) x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
	97.0%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (/.f32 x (/.f32 #s(literal 1 binary32) (PI.f32)))) x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau))))
	68.7%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau))))
	68.8%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (PI.f32)))))
	61.7%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) x))
	61.6%	(.f32 #s(approx (neg (sin ( tau (* (PI) x)))) (.f32 (.f32 (neg.f32 tau) x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau))))
	89.0%	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))))) #s(literal -1 binary32)))
▶	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
✓	61.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 6 728 to 3 973 computations (40.9% saved)

simplify170.0ms (1.6%)

Memory

-6.9MiB live, 206.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
cost-diff	192	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
cost-diff	0	(/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))
cost-diff	0	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))
cost-diff	192	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau))) x)
cost-diff	800	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
cost-diff	0	#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
cost-diff	0	(neg.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
cost-diff	320	(/.f32 (neg.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
cost-diff	0	(fma.f32 tau tau #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
cost-diff	0	(fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
cost-diff	0	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
cost-diff	0	(*.f32 x (PI.f32))
cost-diff	0	(.f32 tau (.f32 x (PI.f32)))
cost-diff	0	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	445
0	98	443
1	217	443
2	590	439
3	2493	439
4	3875	439
5	7705	439
0	8177	439

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (1.6%)

Memory

25.7MiB live, 275.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3910471242722923	(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
accuracy	0.39423754884221013	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
accuracy	0.40625	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
accuracy	0.41796875	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.40462875976844204	(.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.40625	(/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))
accuracy	0.4131050293053261	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
accuracy	9.652830011481885	#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
accuracy	0.3910471242722923	(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
accuracy	0.39453125	(*.f32 (neg.f32 (PI.f32)) tau)
accuracy	0.43587875976844204	(/.f32 (neg.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
accuracy	9.652830011481885	#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	7.390086582927276	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
accuracy	19.206141203272907	(fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
accuracy	26.562304289245024	(fma.f32 tau tau #s(literal 1 binary32))
accuracy	0.328125	(/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
accuracy	0.36328125	(.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
accuracy	0.3639450195368841	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
accuracy	0.3910471242722923	(sin.f32 (.f32 tau (.f32 x (PI.f32))))

Samples

115.0ms

256×

valid

Compiler

Compiled 844 to 102 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 31.0ms (34.6% of total)

ival-div: 28.0ms (31.2% of total)

ival-sinu: 8.0ms (8.9% of total)

const: 8.0ms (8.9% of total)

ival-sin: 7.0ms (7.8% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory

-6.8MiB live, 101.8MiB allocated

Counts

28 → 528

Calls

Call 1

Inputs
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(.f32 tau (.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
(.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(fma.f32 tau tau #s(literal 1 binary32))
(/.f32 (neg.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
(neg.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau))) x)
(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (neg.f32 (PI.f32)) tau)
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 tau 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))))))))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
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 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
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 x 2) (pow (PI) 2))) 1)
(- (* (pow x 2) (- (* -1/120 (* (pow x 2) (pow (PI) 4))) (* -1/6 (pow (PI) 2)))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* 1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))) (* -1/6 (pow (PI) 2)))) 1)
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
1
(+ 1 (* (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) (sqrt (pow (PI) 3)))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (sqrt (/ 1 (PI))))))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (sqrt (/ 1 (PI))))))))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))) (sqrt (/ 1 (PI))))))))))
(* (* tau (pow x 2)) (sqrt (pow (PI) 3)))
(* (pow x 2) (+ (* tau (sqrt (pow (PI) 3))) (* (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (sqrt (/ 1 (PI))))))))
(* (pow x 2) (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))) (sqrt (/ 1 (PI))))))))))
(* x (sqrt (PI)))
(* x (+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5))))))
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9))))))))
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sqrt (pow (PI) 13)))) (* 1/120 (sqrt (pow (PI) 9)))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
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))))))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* tau (* x (PI)))
(* x (+ (* 1/6 (* tau (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))) (* -1/6 (* tau (pow (PI) 3)))))))
(* x (+ (* tau (PI)) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 7))) (+ (* 1/720 (* tau (pow (PI) 7))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))))))) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))) (* -1/6 (* tau (pow (PI) 3)))))))
tau
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(+ tau (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 6))) (+ (* 1/720 (* tau (pow (PI) 6))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))))))) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ 1 tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* (sqrt (/ 1 (PI))) (sin (* x (PI))))
(* (sqrt (/ 1 (PI))) (sin (* x (PI))))
(* (sqrt (/ 1 (PI))) (sin (* x (PI))))
(* (sqrt (/ 1 (PI))) (sin (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(* -1 (* tau (PI)))
(* -1 (* tau (PI)))
(* -1 (* tau (PI)))
(* -1 (* tau (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((/ (sin (* tau (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* x (PI)) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (neg (/ (sin (* (PI) x)) (* (PI) x))) (/ (* (* (neg (PI)) tau) x) (sin (* (* (PI) x) tau)))) (neg (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (/ (/ (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) x) (* (sqrt (PI)) (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) x) (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI)))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI)))) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (/ (* tau (* x (PI))) (sin (* x (PI)))) (* (PI) (PI)) (* (neg (PI)) tau) (sin (* (* (PI) x) tau)) (* (sqrt (PI)) (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI))))
9.0ms	tau	@	-inf	((/ (sin (* tau (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* x (PI)) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (neg (/ (sin (* (PI) x)) (* (PI) x))) (/ (* (* (neg (PI)) tau) x) (sin (* (* (PI) x) tau)))) (neg (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (/ (/ (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) x) (* (sqrt (PI)) (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) x) (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI)))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI)))) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (/ (* tau (* x (PI))) (sin (* x (PI)))) (* (PI) (PI)) (* (neg (PI)) tau) (sin (* (* (PI) x) tau)) (* (sqrt (PI)) (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI))))
9.0ms	tau	@	0	((/ (sin (* tau (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* x (PI)) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (neg (/ (sin (* (PI) x)) (* (PI) x))) (/ (* (* (neg (PI)) tau) x) (sin (* (* (PI) x) tau)))) (neg (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (/ (/ (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) x) (* (sqrt (PI)) (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) x) (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI)))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI)))) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (/ (* tau (* x (PI))) (sin (* x (PI)))) (* (PI) (PI)) (* (neg (PI)) tau) (sin (* (* (PI) x) tau)) (* (sqrt (PI)) (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI))))
7.0ms	x	@	-inf	((/ (sin (* tau (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* x (PI)) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (neg (/ (sin (* (PI) x)) (* (PI) x))) (/ (* (* (neg (PI)) tau) x) (sin (* (* (PI) x) tau)))) (neg (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (/ (/ (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) x) (* (sqrt (PI)) (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) x) (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI)))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI)))) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (/ (* tau (* x (PI))) (sin (* x (PI)))) (* (PI) (PI)) (* (neg (PI)) tau) (sin (* (* (PI) x) tau)) (* (sqrt (PI)) (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI))))
6.0ms	x	@	inf	((/ (sin (* tau (* x (PI)))) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* x (PI)) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (/ (neg (/ (sin (* (PI) x)) (* (PI) x))) (/ (* (* (neg (PI)) tau) x) (sin (* (* (PI) x) tau)))) (neg (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (/ (/ (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) x) (* (sqrt (PI)) (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) x) (* (/ (sin (* (PI) x)) (sqrt (PI))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI)))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI)))) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (/ (* tau (* x (PI))) (sin (* x (PI)))) (* (PI) (PI)) (* (neg (PI)) tau) (sin (* (* (PI) x) tau)) (* (sqrt (PI)) (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (* tau x) (PI))))

simplify247.0ms (2.3%)

Memory

16.3MiB live, 257.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	521	8644
1	1769	8364
2	3689	8270
3	4732	8218
4	7619	8218
0	8545	7931

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 527

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 (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
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 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
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 x 2) (pow (PI) 2))) 1)
(- (* (pow x 2) (- (* -1/120 (* (pow x 2) (pow (PI) 4))) (* -1/6 (pow (PI) 2)))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* 1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))) (* -1/6 (pow (PI) 2)))) 1)
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
1
(+ 1 (* (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) (sqrt (pow (PI) 3)))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (sqrt (/ 1 (PI))))))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (sqrt (/ 1 (PI))))))))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))) (sqrt (/ 1 (PI))))))))))
(* (* tau (pow x 2)) (sqrt (pow (PI) 3)))
(* (pow x 2) (+ (* tau (sqrt (pow (PI) 3))) (* (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (sqrt (/ 1 (PI))))))))
(* (pow x 2) (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))) (sqrt (/ 1 (PI))))))))))
(* x (sqrt (PI)))
(* x (+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5))))))
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9))))))))
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sqrt (pow (PI) 13)))) (* 1/120 (sqrt (pow (PI) 9)))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
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))))))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* tau (* x (PI)))
(* x (+ (* 1/6 (* tau (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))) (* -1/6 (* tau (pow (PI) 3)))))))
(* x (+ (* tau (PI)) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 7))) (+ (* 1/720 (* tau (pow (PI) 7))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))))))) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))) (* -1/6 (* tau (pow (PI) 3)))))))
tau
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(+ tau (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 6))) (+ (* 1/720 (* tau (pow (PI) 6))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))))))) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ 1 tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
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(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(pow tau 2)
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(* -1 (* tau (PI)))
(* -1 (* tau (PI)))
(* -1 (* tau (PI)))
(* -1 (* tau (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(pow tau 2)
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) (* 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)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (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)))) (* 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)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(* -1 (* tau (PI)))
(* -1 (* tau (PI)))
(* -1 (* tau (PI)))
(* -1 (* tau (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(* (* tau x) (sqrt (pow (PI) 3)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* 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 (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)) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 tau tau))) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(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)) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 tau tau))) #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 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(.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 -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.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 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 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.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 x x) (*.f32 (PI.f32) tau)) x)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
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)) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 tau tau))) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(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)) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 tau tau))) #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 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
1
#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)) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 tau tau))) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(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)) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 tau tau))) #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 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1)
(fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))
(- (* (pow x 2) (- (* -1/120 (* (pow x 2) (pow (PI) 4))) (* -1/6 (pow (PI) 2)))) 1)
(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))
(- (* (pow x 2) (- (* (pow x 2) (- (* 1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))) (* -1/6 (pow (PI) 2)))) 1)
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 #s(literal -1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 x x) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(* 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))))))))
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#s(literal 1 binary32)
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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))))))))))
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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))))))))))))))
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(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(* x (+ (* tau (sqrt (pow (PI) 3))) (* (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (sqrt (/ 1 (PI))))))
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(* x (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (sqrt (/ 1 (PI))))))))
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(* x (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))) (sqrt (/ 1 (PI))))))))))
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(* (* tau (pow x 2)) (sqrt (pow (PI) 3)))
(.f32 (.f32 (*.f32 x x) tau) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))
(* (pow x 2) (+ (* tau (sqrt (pow (PI) 3))) (* (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (sqrt (/ 1 (PI))))))
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(* (pow x 2) (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (sqrt (/ 1 (PI))))))))
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(* (pow x 2) (+ (* tau (sqrt (pow (PI) 3))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))) (sqrt (/ 1 (PI))))))))))
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(* x (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) x)
(* x (+ (sqrt (PI)) (* -1/6 (* (pow x 2) (sqrt (pow (PI) 5))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 x x)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5 binary32))) (sqrt.f32 (PI.f32))) x)
(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* 1/120 (* (pow x 2) (sqrt (pow (PI) 9))))))))
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(* x (+ (sqrt (PI)) (* (pow x 2) (+ (* -1/6 (sqrt (pow (PI) 5))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sqrt (pow (PI) 13)))) (* 1/120 (sqrt (pow (PI) 9)))))))))
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(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
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(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
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(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
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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))))))))))
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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))))))))))))))
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(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
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(* 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))))))))
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(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* x (+ (* 1/6 (* tau (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 x x)) (*.f32 (PI.f32) tau)) x)
(* x (+ (* tau (PI)) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))) (* -1/6 (* tau (pow (PI) 3)))))))
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(* x (+ (* tau (PI)) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 7))) (+ (* 1/720 (* tau (pow (PI) 7))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))))))) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))) (* -1/6 (* tau (pow (PI) 3)))))))
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tau
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)
(+ tau (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) #s(literal 7/360 binary32)) (.f32 x x))) (*.f32 x x) tau)
(+ tau (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 6))) (+ (* 1/720 (* tau (pow (PI) 6))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))))))) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) #s(literal 7/360 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) tau) #s(literal -1/840 binary32))) (.f32 x x) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) #s(literal 7/360 binary32))) (.f32 x x))) (.f32 x x) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
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(fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (+.f32 (/.f32 (/.f32 (PI.f32) tau) tau) (PI.f32)))) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (+.f32 (/.f32 (/.f32 (PI.f32) tau) tau) (PI.f32)))) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (+.f32 (/.f32 (/.f32 (PI.f32) tau) tau) (PI.f32)))) (*.f32 tau tau) #s(literal 1 binary32))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(pow tau 2)
(*.f32 tau tau)
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(fma.f32 tau tau #s(literal 1 binary32))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(fma.f32 tau tau #s(literal 1 binary32))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(fma.f32 tau tau #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (sqrt (/ 1 (PI))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x)))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x)))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x)))
(* (sqrt (/ 1 (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (.f32 x tau))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (.f32 x tau))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (.f32 x tau))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (.f32 x tau))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(.f32 (.f32 (.f32 x x) tau) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(.f32 (.f32 (.f32 x x) tau) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(.f32 (.f32 (.f32 x x) tau) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(.f32 (.f32 (.f32 x x) tau) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (*.f32 (PI.f32) x)))
(* -1 (* tau (PI)))
(*.f32 (neg.f32 (PI.f32)) tau)
(* -1 (* tau (PI)))
(*.f32 (neg.f32 (PI.f32)) tau)
(* -1 (* tau (PI)))
(*.f32 (neg.f32 (PI.f32)) tau)
(* -1 (* tau (PI)))
(*.f32 (neg.f32 (PI.f32)) tau)
(sin (* tau (* x (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(* (* tau x) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 x tau))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))

rewrite173.0ms (1.6%)

Memory

17.4MiB live, 245.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	345
0	98	345
1	351	341
2	2158	328
0	8299	326

Stop Event

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

Counts

28 → 1 165

Calls

Call 1

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

Outputs
(.f32 (pow.f32 (/.f32 (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 (*.f32 (PI.f32) tau) x))) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) tau) x)))
(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) tau)) #s(literal -1 binary32)) (pow.f32 (.f32 x (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 x (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) tau)) #s(literal -1 binary32)) (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)) x) x))
(.f32 (pow.f32 (/.f32 x (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1 binary32)) (pow.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (PI.f32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1 binary32)) (pow.f32 (.f32 x (.f32 (.f32 (PI.f32) tau) x)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 (PI.f32) x) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) x)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (*.f32 (PI.f32) tau) x))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) x) (/.f32 (sin.f32 (.f32 (*.f32 (PI.f32) tau) x)) (PI.f32)))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))
(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) x)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (PI.f32) x)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) tau) x)))
(.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) tau) x)))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))
(.f32 (.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (/.f32 #s(literal 1 binary32) x))
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(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (neg.f32 x) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau) (.f32 (PI.f32) x))
(/.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) x) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) tau)
(/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 (neg.f32 (PI.f32)) tau) x))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) tau) x))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (neg.f32 (PI.f32)) tau) x)))
(pow.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) #s(literal 1 binary32))
(pow.f32 (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) tau)) #s(literal -1 binary32)))
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (neg.f32 (PI.f32)) tau) x)))
(.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 (.f32 (*.f32 (PI.f32) tau) x))))
(.f32 (sin.f32 (.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (sin.f32 (.f32 (*.f32 (PI.f32) tau) x)))
(/.f32 (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) #s(literal -1 binary32))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))))
(-.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x))))
(sin.f32 (.f32 (.f32 (PI.f32) tau) x))
(neg.f32 (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x))))

eval249.0ms (2.3%)

Memory: -20.0MiB live, 405.5MiB allocated
Compiler: Compiled 67 806 to 4 474 computations (93.4% saved)

prune361.0ms (3.3%)

Memory

8.0MiB live, 648.8MiB allocated

Pruning

185 alts after pruning (179 fresh and 6 done)

	Pruned	Kept	Total
New	1 982	99	2 081
Fresh	35	80	115
Picked	3	2	5
Done	1	4	5
Total	2 021	185	2 206

Accuracy

99.6%

Counts

2 206 → 185

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.8%	(/.f32 (/.f32 (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (*.f32 (PI.f32) tau) x))))
	68.7%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x)) (sqrt.f32 (PI.f32))) (.f32 (PI.f32) x)) tau)
	68.7%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x)) (sqrt.f32 (PI.f32))) (PI.f32)) (.f32 x tau))
	68.6%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.7%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) x) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.7%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) x) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.7%	(/.f32 (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
	68.9%	(/.f32 (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 x (sin.f32 (.f32 (*.f32 (PI.f32) tau) x))))
	68.9%	(/.f32 (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (neg.f32 x)) (neg.f32 (.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))))
	68.6%	(/.f32 (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (neg.f32 (PI.f32))) x) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau))))
	68.8%	(/.f32 (/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)))) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.7%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.7%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))) tau))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.8%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.6%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (PI.f32)) x))
	68.7%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x) (.f32 (.f32 (.f32 (PI.f32) tau) x) (sqrt.f32 (PI.f32))))
	68.7%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x) (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 (PI.f32) tau)) x))
	68.6%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x) (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 x tau)) (PI.f32)))
	60.9%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) #s(approx (sin ( (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) tau)) (.f32 (PI.f32) x))
	68.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 (PI.f32) tau)) x)
	68.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 x tau)) (PI.f32))
	68.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) x) (*.f32 (PI.f32) tau))
	68.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x)) (.f32 (*.f32 (PI.f32) tau) x)) (sqrt.f32 (PI.f32)))
	68.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) x)) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	95.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 x tau) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (.f32 (PI.f32) x))
✓	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
	68.9%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (sqrt (PI))) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.6%	(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sqrt.f32 (PI.f32)))) x) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.7%	(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) x) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.6%	(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) x)) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	61.7%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
	61.8%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (*.f32 (PI.f32) x))) x) (PI.f32))
	60.8%	(/.f32 (/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x) x)) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
	68.8%	(/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))))
	68.7%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) x))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (.f32 (PI.f32) tau) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.7%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (PI.f32)))) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau))))
	96.9%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
	97.3%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau)) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) x))
	96.5%	(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) x))
	95.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau))) (.f32 (PI.f32) x))
	96.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))))
✓	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) x)
	68.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (*.f32 x (PI.f32))) x))
	68.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (sqrt.f32 (PI.f32)))
	68.9%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) tau))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (PI.f32)) x))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32)))
	68.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) x)) tau))
	68.8%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (PI.f32) x)))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (PI.f32) tau) x)))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 x tau) (PI.f32))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (/.f32 x (/.f32 #s(literal 1 binary32) (PI.f32))))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))))
	60.9%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) #s(approx (sin (* tau (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))) (.f32 (.f32 (neg.f32 (PI.f32)) tau) x))
	68.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) x))
	68.6%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 #s(literal -1 binary32) x)) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau))))
	68.7%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) tau) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	97.0%	(/.f32 (.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	96.4%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	68.5%	(/.f32 (.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (.f32 (PI.f32) x))))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) tau) x))
	96.4%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) x) (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
	68.5%	(/.f32 (.f32 (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau))))
	69.0%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (sqrt (PI)) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.7%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
	68.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	68.8%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (sqrt.f32 (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (*.f32 (PI.f32) x))))
	68.6%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) x))) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
	96.8%	(/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) x))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
	95.7%	(/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x tau)))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
	97.1%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
	97.0%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (.f32 x (PI.f32))))
✓	97.5%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
	31.1%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 #s(approx (/ ( tau (* x (PI))) (sin (* x (PI)))) (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)) (*.f32 x (PI.f32))))
	68.9%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (* (/ (* tau (* x (PI))) (sin (* x (PI)))) (* x (PI))) (.f32 (.f32 (PI.f32) x) tau)))
	68.7%	(/.f32 (neg.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau))))
	68.6%	(/.f32 (neg.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (/.f32 (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau))) (+.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau))))
	68.6%	(/.f32 (neg.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))) tau))))
	68.6%	(/.f32 (neg.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau))))
	60.8%	(/.f32 (neg.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))))
	69.0%	(/.f32 (neg.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (*.f32 (PI.f32) x)))
	9.9%	(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	61.7%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
✓	61.8%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	61.8%	(/.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)))
	68.7%	(/.f32 #s(approx (neg (/ (sin (* (PI) x)) (* (PI) x))) #s(literal -1 binary32)) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
	68.8%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))))
	97.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
	68.7%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))))
	68.8%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))))
	68.7%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x)) (sqrt.f32 (PI.f32))) tau)))
	68.7%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (sqrt.f32 (PI.f32)) tau))))
	68.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) x)))
	68.6%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x)) (sqrt.f32 (PI.f32))) (.f32 (PI.f32) tau))))
	68.6%	(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x)) (sqrt.f32 (PI.f32))) (.f32 (PI.f32) x))))
	68.9%	(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
	68.7%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (/.f32 x (sin.f32 (.f32 (.f32 (PI.f32) tau) x))))))
	68.8%	(.f32 (/.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) (sin.f32 (.f32 (*.f32 (PI.f32) tau) x)))
	68.6%	(.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x)) (sqrt.f32 (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))
	68.6%	(.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x)) (sqrt.f32 (PI.f32))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
	68.7%	(.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x)) (sqrt.f32 (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
	97.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) tau) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
	68.7%	(.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sqrt.f32 (PI.f32))))
	68.8%	(.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)))
	68.9%	(.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 (PI.f32)) tau) x)) (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x))))
	68.9%	(.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (*.f32 (PI.f32) tau) x)) x))
	68.7%	(.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (.f32 (*.f32 (PI.f32) tau) x)) x) (sqrt.f32 (PI.f32))))
	68.7%	(.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) x) (*.f32 (PI.f32) x)))
	96.8%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) x) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))))
	68.8%	(.f32 (/.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) x)))
	68.7%	(.f32 (/.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (PI.f32) x)))
	68.7%	(.f32 (/.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (*.f32 (PI.f32) tau) x)))
	68.7%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))
	68.7%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (*.f32 x tau)) (/.f32 #s(literal 1 binary32) (PI.f32)))
	68.6%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x)) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) #s(literal -1/2 binary32))) (*.f32 x (PI.f32))))
✓	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))))
	31.9%	(.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))))
	97.0%	(.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))))
	97.3%	(.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)))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x))) x))
	68.7%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))) x))
	68.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) x))
	61.7%	(.f32 (/.f32 #s(approx ( (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
	68.9%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x)))
	68.8%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) x) (.f32 (*.f32 (PI.f32) tau) x)))
	61.8%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (*.f32 (PI.f32) x))))
	96.4%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) x)))
	97.0%	(.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
	97.1%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 tau x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	68.8%	(.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) tau)))
	68.8%	(.f32 (.f32 (neg.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (*.f32 (neg.f32 (PI.f32)) tau) x))) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
	68.9%	(.f32 (.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (neg.f32 (PI.f32)) tau) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) x)))
	68.7%	(.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) x)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal -1 binary32) (.f32 (*.f32 (PI.f32) tau) x)))
	97.0%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (/.f32 x (/.f32 #s(literal 1 binary32) (PI.f32)))) x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau))))
	68.7%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau))))
	68.8%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (PI.f32)))))
	68.9%	(.f32 (neg.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (*.f32 (PI.f32) x))))
	61.7%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (PI)) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) x))
	89.0%	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))))) #s(literal -1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (fma.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
	60.7%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
	60.7%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (+.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (fma.f32 (.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	9.6%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.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)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x x)) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 (.f32 #s(literal 1 binary32) (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)))
	61.1%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	60.7%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	60.7%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	37.4%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
	60.7%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	5.0%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))))
	4.8%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) (* (PI) x)) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
✓	61.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 12 939 to 4 195 computations (67.6% saved)

regimes462.0ms (4.2%)

Memory

-1.9MiB live, 600.7MiB allocated

Counts

259 → 1

Calls

Call 1

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

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

Calls

4 calls:

170.0ms	x
91.0ms	(*.f32 x (PI.f32))
91.0ms	(.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))))
78.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes293.0ms (2.7%)

Memory

12.1MiB live, 368.7MiB allocated

Counts

197 → 1

Calls

Call 1

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

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

Calls

4 calls:

83.0ms	(.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))))
72.0ms	(*.f32 x (PI.f32))
67.0ms	x
63.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes266.0ms (2.4%)

Memory

5.2MiB live, 432.4MiB allocated

Counts

183 → 1

Calls

Call 1

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

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

Calls

4 calls:

80.0ms	x
72.0ms	(*.f32 x (PI.f32))
54.0ms	(.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))))
51.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes290.0ms (2.6%)

Memory

28.3MiB live, 383.0MiB allocated

Counts

178 → 1

Calls

Call 1

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

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

Calls

4 calls:

96.0ms	x
72.0ms	tau
61.0ms	(*.f32 x (PI.f32))
54.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes243.0ms (2.2%)

Memory

-24.2MiB live, 450.8MiB allocated

Counts

176 → 1

Calls

Call 1

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

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

Calls

4 calls:

67.0ms	x
64.0ms	(*.f32 x (PI.f32))
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))))
49.0ms	tau

Results

Accuracy	Segments	Branch
69.0%	1	`x`
69.0%	1	`(*.f32 x (PI.f32))`
69.0%	1	`tau`
69.0%	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))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes86.0ms (0.8%)

Memory

27.2MiB live, 185.2MiB allocated

Counts

65 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	x
21.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
20.0ms	tau
18.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
69.0%	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))))`
69.0%	1	`tau`
69.0%	1	`x`
69.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes85.0ms (0.8%)

Memory

-12.2MiB live, 142.6MiB allocated

Counts

59 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	tau
21.0ms	(*.f32 x (PI.f32))
20.0ms	x
19.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
69.0%	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))))`
69.0%	1	`x`
69.0%	1	`(*.f32 x (PI.f32))`
69.0%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes78.0ms (0.7%)

Memory

4.2MiB live, 123.4MiB allocated

Counts

58 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	tau
20.0ms	x
19.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
16.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
68.9%	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))))`
68.9%	1	`tau`
68.9%	1	`x`
68.9%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes65.0ms (0.6%)

Memory

6.4MiB live, 80.3MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

30.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
13.0ms	tau
10.0ms	x
10.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
62.5%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
62.5%	1	`x`
62.5%	1	`tau`
62.5%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes78.0ms (0.7%)

Memory

-15.5MiB live, 52.1MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
61.8%	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))))`
61.8%	1	`x`
61.8%	1	`(*.f32 x (PI.f32))`
61.8%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes39.0ms (0.4%)

Memory

-5.7MiB live, 67.8MiB allocated

Accuracy

Total -18.5b remaining (-148.1%)

Threshold costs -18.5b (-148.1%)

Counts

27 → 1

Calls

Call 1

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

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))
8.0ms	x
7.0ms	tau

Results

Accuracy	Segments	Branch
61.1%	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))))`
61.1%	1	`tau`
61.1%	1	`x`
61.1%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify65.0ms (0.6%)

Memory

-11.2MiB live, 74.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	282
1	123	282
2	160	280
3	220	278
4	312	278
5	429	278
6	578	278
7	720	278
8	841	278
9	947	278
10	1037	278
11	1086	278
12	1114	278
13	1131	278
14	1143	278
15	1148	278
16	1149	278

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.0s (18.1%)

Memory

43.8MiB live, 1 390.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	345
0	98	345
1	351	341
2	2158	328
0	8299	326
0	10	55
0	18	55
1	63	55
2	483	53
3	6485	53
0	8114	53
0	196	1582
1	620	1562
2	2402	1538
3	4133	1538
4	4863	1538
5	5548	1538
6	5938	1538
7	5969	1538
8	5969	1538
0	8814	1486
0	477	6790
1	1620	6600
2	5965	6397
3	7674	6397
0	8068	6182
0	521	8644
1	1769	8364
2	3689	8270
3	4732	8218
4	7619	8218
0	8545	7931
0	32	222
0	52	218
1	220	218
2	1539	208
3	7247	208
0	8131	208
0	463	7792
1	1544	7606
2	5934	7389
0	8164	7143
0	45	292
0	81	282
1	296	278
2	1852	273
0	8412	273

Stop Event

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

Compiler

Compiled 884 to 334 computations (62.2% saved)

preprocess107.0ms (1%)

Memory

-23.9MiB live, 133.2MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 1 522 to 638 computations (58.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze37.0ms (0.3%)

sample1.5s (13.5%)

explain138.0ms (1.3%)

preprocess69.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify25.0ms (0.2%)

localize65.0ms (0.6%)

series31.0ms (0.3%)

simplify223.0ms (2%)

rewrite174.0ms (1.6%)

eval94.0ms (0.9%)

prune82.0ms (0.7%)

simplify92.0ms (0.8%)

localize90.0ms (0.8%)

series56.0ms (0.5%)

simplify215.0ms (2%)

rewrite200.0ms (1.8%)

eval389.0ms (3.5%)

prune280.0ms (2.6%)

simplify190.0ms (1.7%)

localize115.0ms (1.1%)

series71.0ms (0.7%)

simplify213.0ms (1.9%)

rewrite476.0ms (4.3%)

eval310.0ms (2.8%)

prune271.0ms (2.5%)

simplify170.0ms (1.6%)

localize181.0ms (1.6%)

series53.0ms (0.5%)

simplify247.0ms (2.3%)

rewrite173.0ms (1.6%)

eval249.0ms (2.3%)

prune361.0ms (3.3%)

regimes462.0ms (4.2%)

regimes293.0ms (2.7%)

regimes266.0ms (2.4%)

regimes290.0ms (2.6%)

regimes243.0ms (2.2%)

regimes86.0ms (0.8%)

regimes85.0ms (0.8%)

regimes78.0ms (0.7%)

regimes65.0ms (0.6%)

regimes78.0ms (0.7%)

regimes39.0ms (0.4%)

simplify65.0ms (0.6%)

soundness2.0s (18.1%)

preprocess107.0ms (1%)

end0.0ms (0%)

Profiling