Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze24.0ms (0.1%)

Memory

-23.7MiB live, 56.8MiB 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 (9%)

Memory

74.4MiB live, 2 225.4MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 965.0ms

ival-sin: 218.0ms (22.6% of total)

ival-div: 186.0ms (19.3% of total)

ival-<=: 170.0ms (17.6% of total)

ival-mult: 158.0ms (16.4% of total)

const: 119.0ms (12.3% of total)

ival-pi: 81.0ms (8.4% of total)

ival-and: 22.0ms (2.3% of total)

exact: 8.0ms (0.8% of total)

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

Bogosity

preprocess95.0ms (0.6%)

Memory

-47.3MiB live, 103.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 192×	`neg-sub0`
1 146×	`neg-mul-1`
868×	`distribute-frac-neg`
794×	`associate-l`
772×	`sub-neg`

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

Symmetry

(abs tau)

(abs x)

explain136.0ms (0.8%)

Memory

-13.6MiB live, 303.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.9936107993125916 3.25146484375)	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	6
-	0	250

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	5
-	0	0	250

Precision?

1.0

Recall?

0.16666666666666666

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

51.0ms

512×

valid

Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 15.0ms (40.2% of total)

ival-sin: 13.0ms (34.8% of total)

ival-div: 6.0ms (16.1% of total)

ival-pi: 2.0ms (5.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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 23 to 10 computations (56.5% saved)

simplify27.0ms (0.2%)

Memory

19.0MiB live, 57.8MiB 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	192	(.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))))

Rules

598×	`times-frac`
578×	`lower-*.f64`
572×	`lower-*.f32`
540×	`lower-/.f64`
536×	`lower-/.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 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 (.f32 x (PI.f32)) tau)
(.f32 x (.f32 (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)))

localize92.0ms (0.6%)

Memory

-19.2MiB live, 62.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

51.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sin: 35.0ms (79.3% of total)

ival-mult: 4.0ms (9.1% of total)

ival-div: 3.0ms (6.8% of total)

ival-pi: 1.0ms (2.3% of total)

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

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

series35.0ms (0.2%)

Memory

1.2MiB live, 77.2MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#<alt (.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))))>
#<alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))>
#<alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau))>
#<alt (.f32 (.f32 x (PI.f32)) tau)>
#<alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>

Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 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))))))))))>
#<alt (+ 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))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (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))))>
#<alt (+ (* (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))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<alt (+ 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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* 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))))))))>
#<alt (* 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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* 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))))))))>
#<alt (* 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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 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)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	tau	@	-inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
4.0ms	tau	@	inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
4.0ms	x	@	0	(/ (sin (* x (PI))) (* x (PI)))
3.0ms	x	@	0	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
2.0ms	x	@	-inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))

simplify508.0ms (3.1%)

Memory

28.8MiB live, 750.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 966×	`lower-fma.f64`
16 966×	`lower-fma.f32`
6 828×	`lower-+.f64`
6 828×	`lower-+.f32`
6 246×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1582
1	620	1562
2	2413	1538
3	4145	1538
4	4880	1538
5	5560	1538
6	5950	1538
7	5981	1538
8	5981	1538
0	8826	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))))))))))))))
(/ (* (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 (* 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 (* (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))))
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))))))))
(/ (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)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* 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))))))))
(/ (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)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* 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)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(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)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* 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)))))))
(/ (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))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* 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 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #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 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #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 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 tau tau)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32))))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (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 tau tau) (.f32 (sin.f32 (.f32 x (PI.f32))) (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+ (* (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 tau (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (sin.f32 (.f32 x (PI.f32))) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/5040 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (*.f32 (PI.f32) (PI.f32))))) #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 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #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 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32))) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (*.f32 (PI.f32) (PI.f32))))) #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 (.f32 tau tau) (fma.f32 (.f32 tau tau) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #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 (.f32 tau tau) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (fma.f32 (.f32 tau tau) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal -1/5040 binary32)) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 x x) (.f32 x x)))))) #s(literal 1 binary32))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau)))) (*.f32 tau (PI.f32))))
(* 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 x (fma.f32 (.f32 x x) (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (.f32 (.f32 x (.f32 x (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))) (.f32 tau (PI.f32))))
(* 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 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 7 binary32)) (.f32 x (.f32 x (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))))) (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) x)) (*.f32 x (PI.f32))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(.f32 tau (fma.f32 (.f32 tau tau) (fma.f32 (.f32 tau tau) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) x))) (.f32 x (PI.f32))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(.f32 tau (fma.f32 (.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))) (.f32 (.f32 tau tau) #s(literal -1/5040 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)))))) (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #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 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))

rewrite286.0ms (1.7%)

Memory

9.8MiB live, 399.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 760×	`lower-*.f64`
4 754×	`lower-*.f32`
3 316×	`lower-/.f64`
3 312×	`lower-/.f32`
1 604×	`frac-times`

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
(neg.f32 (.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(neg.f32 (.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau)))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))) (neg.f32 (*.f32 x (PI.f32)))))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (neg.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(neg.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (.f32 (.f32 (neg.f32 x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (neg.f32 (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (neg.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (neg.f32 x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (PI.f32) tau) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 tau (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 x (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))) #s(literal -1 binary32))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (neg.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (/.f32 (neg.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (neg.f32 x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (neg.f32 (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (neg.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (neg.f32 x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) (.f32 (neg.f32 x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))))
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(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x))) (neg.f32 (PI.f32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) x)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (cbrt.f32 (PI.f32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) #s(literal 1 binary32)) (neg.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32)) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (sqrt.f32 (PI.f32))))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 1 binary32)) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (.f32 x (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (.f32 x (cbrt.f32 (PI.f32))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32)) (.f32 x (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) x)
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 2/9 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 x (PI.f32))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal -1/3 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x (cbrt.f32 (PI.f32)))))
(.f32 (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1/2 binary32)))
(neg.f32 (neg.f32 (*.f32 x (PI.f32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (*.f32 x (PI.f32))) #s(literal -1 binary32))
(*.f32 x (PI.f32))
(*.f32 x (neg.f32 (neg.f32 (PI.f32))))
(*.f32 x (/.f32 (PI.f32) #s(literal 1 binary32)))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (PI.f32) (/.f32 x #s(literal 1 binary32)))
(.f32 (.f32 x (PI.f32)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 x (sqrt.f32 (PI.f32)))))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 x (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (.f32 x (cbrt.f32 (PI.f32))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 x (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 x (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(.f32 #s(literal -1 binary32) (neg.f32 (.f32 x (PI.f32))))
(.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32)))
(.f32 (.f32 x (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 x (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) x)
(.f32 (.f32 #s(literal 1 binary32) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/9 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(.f32 (.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (*.f32 x (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))

eval269.0ms (1.6%)

Memory: -23.7MiB live, 177.8MiB allocated
Compiler: Compiled 24 386 to 2 294 computations (90.6% saved)

prune430.0ms (2.6%)

Memory

6.8MiB live, 356.7MiB allocated

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	978	35	1 013
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	978	36	1 014

Accuracy

99.7%

Counts

1 014 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (PI.f32)) (.f32 x tau))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)))
	70.8%	(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (neg.f32 (*.f32 x (PI.f32))))
▶	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32)))))
	96.9%	(/.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 x (PI.f32))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))
	97.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))))
	97.1%	(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))))
▶	97.2%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (.f32 tau (cbrt.f32 (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	95.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
	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 (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))))
✓	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	94.1%	(.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 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	68.1%	(.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)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau))))
▶	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	97.3%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
	97.2%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 #s(literal 1 binary32) x))
	97.2%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))
	97.3%	(.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))))
	76.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	91.7%	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
	82.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
	75.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	60.9%	#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))))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
▶	60.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 771 to 958 computations (45.9% saved)

simplify166.0ms (1%)

Memory

30.7MiB live, 108.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) x)
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
✓	cost-diff	192	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau))
✓	cost-diff	192	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x)
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32))))
✓	cost-diff	192	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
✓	cost-diff	0	(*.f32 x (PI.f32))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	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 x (.f32 tau (PI.f32))))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
✓	cost-diff	0	#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))
✓	cost-diff	0	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Rules

2 196×	`lower-*.f64`
2 170×	`lower-*.f32`
1 082×	`associate-*l/`
816×	`associate-/r*`
740×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	361
0	63	355
1	130	355
2	388	355
3	1370	355
4	2266	355
5	2385	355
6	2385	355
7	2685	355
8	2821	355
9	2821	355
10	2821	355
11	2861	355
12	2861	355
13	2861	355
14	2929	355
15	3009	355
0	3009	355

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize294.0ms (1.8%)

Memory

-35.5MiB live, 221.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.8%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau))
✓	accuracy	61.3%	(/.f32 #s(literal 1 binary32) x)
✓	accuracy	98.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
✓	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.5%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	accuracy	100.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
✓	accuracy	98.9%	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
✓	accuracy	98.6%	#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))

Samples

244.0ms

256×

valid

Compiler

Compiled 335 to 32 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-mult: 101.0ms (44.1% of total)

ival-div: 75.0ms (32.7% of total)

ival-pi: 39.0ms (17% of total)

ival-sin: 13.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series331.0ms (2%)

Memory

-5.7MiB live, 151.2MiB allocated

Counts

20 → 432

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 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))))))))))>
#<alt (+ 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))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
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#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (* tau (* (PI) (sin (* x (PI)))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)>
#<alt (* tau (PI))>
#<alt (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))>
#<alt (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))>
#<alt (+ (* 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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (* tau (PI))>
#<alt (* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))>
#<alt (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))>
#<alt (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* 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))))))))>
#<alt (* 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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* 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))))))))>
#<alt (* 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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 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))))))))))>
#<alt (+ 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))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (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))))>
#<alt (+ (* (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))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<alt (+ 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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau (PI))>
#<alt (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))>
#<alt (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))>
#<alt (+ (* 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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (* tau (PI))>
#<alt (* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))>
#<alt (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))>
#<alt (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 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)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>

Calls

108 calls:

Time	Variable		Point	Expression
68.0ms	x	@	-inf	(* (/ (* (/ 1 x) (sin (* (PI) (* x tau)))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI))))
8.0ms	tau	@	inf	(/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau)))))
2.0ms	tau	@	0	(/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau)))))
2.0ms	tau	@	-inf	(/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau)))))
2.0ms	tau	@	-inf	(* (/ (* (/ 1 x) (sin (* (PI) (* x tau)))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI))))

simplify1.0s (6.2%)

Memory

26.4MiB live, 1 008.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 942×	`lower-fma.f64`
18 942×	`lower-fma.f32`
6 682×	`lower-*.f64`
6 682×	`lower-*.f32`
5 672×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	6994
1	1108	6866
2	4201	6708
3	7605	6704
0	8029	6477

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

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

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

rewrite272.0ms (1.6%)

Memory

4.6MiB live, 570.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 070×	`lower-*.f64`
4 044×	`lower-*.f32`
3 886×	`lower-/.f64`
3 872×	`lower-/.f32`
1 488×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	260
0	63	254
1	217	254
2	1347	244
3	6994	244
0	8208	244

Stop Event

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

Counts

20 → 1 419

Calls

Call 1

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

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

eval210.0ms (1.3%)

Memory: 17.1MiB live, 559.9MiB allocated
Compiler: Compiled 62 288 to 3 144 computations (95% saved)

prune519.0ms (3.1%)

Memory

-16.3MiB live, 719.7MiB allocated

Pruning

51 alts after pruning (48 fresh and 3 done)

	Pruned	Kept	Total
New	2 536	36	2 572
Fresh	18	12	30
Picked	3	2	5
Done	0	1	1
Total	2 557	51	2 608

Accuracy

99.7%

Counts

2 608 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (PI.f32)) (.f32 x tau))
	97.2%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (*.f32 x tau))) (PI.f32))
	96.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
	70.8%	(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) (/.f32 #s(literal 1 binary32) x)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (*.f32 x (PI.f32))) tau))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) x))
	83.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (.f32 x tau)))) (*.f32 (PI.f32) (PI.f32)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32))))))
	59.9%	(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (.f32 x (.f32 (PI.f32) (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
▶	97.1%	(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	96.9%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
✓	97.2%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.2%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (PI.f32))))
	83.5%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	67.9%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32))))))
	95.1%	(.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (.f32 tau (cbrt.f32 (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	68.1%	(.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)))
▶	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) tau))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
	83.5%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	68.0%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	96.4%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) (pow.f32 (.f32 (.f32 x tau) (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) #s(literal -1 binary32)))
	97.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
	97.2%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 #s(literal 1 binary32) x))
	76.6%	(.f32 #s(approx (/ ( (/ 1 x) (sin (* (PI) (* x tau)))) (* (PI) tau)) (fma.f32 (.f32 tau (.f32 (PI.f32) (.f32 tau (PI.f32)))) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (PI.f32))))
	84.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	94.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	68.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	90.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
▶	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	68.0%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	91.7%	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
	82.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
▶	75.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	60.9%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
✓	60.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 510 to 1 400 computations (44.2% saved)

simplify694.0ms (4.2%)

Memory

4.7MiB live, 593.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))
✓	cost-diff	192	(/.f32 x (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))))
✓	cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))))
✓	cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
✓	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
✓	cost-diff	0	(fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
✓	cost-diff	0	(/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)
✓	cost-diff	0	#s(approx (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
✓	cost-diff	0	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
✓	cost-diff	0	(.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
✓	cost-diff	0	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
✓	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	cost-diff	192	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32))
✓	cost-diff	192	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (PI.f32)) (.f32 x tau))

Rules

26 694×	`lower-fma.f64`
26 688×	`lower-fma.f32`
4 960×	`lower-*.f64`
4 930×	`lower-*.f32`
4 400×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	488
0	86	486
1	160	486
2	423	486
3	1488	486
4	3663	486
5	4228	486
6	4690	486
7	5522	486
8	6815	486
9	7055	486
10	7397	486
11	7793	486
0	8232	486

Stop Event

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

Calls

Call 1

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

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

localize233.0ms (1.4%)

Memory

-24.6MiB live, 223.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.7%	(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))
✓	accuracy	98.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
✓	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
✓	accuracy	84.5%	#s(approx (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
✓	accuracy	99.0%	(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
✓	accuracy	98.8%	(.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	75.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (PI.f32)) (.f32 x tau))
✓	accuracy	98.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32))

Samples

95.0ms

256×

valid

Compiler

Compiled 446 to 44 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 31.0ms (40.2% of total)

ival-div: 30.0ms (38.9% of total)

ival-sin: 7.0ms (9.1% of total)

const: 4.0ms (5.2% of total)

ival-add: 3.0ms (3.9% of total)

ival-pi: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series317.0ms (1.9%)

Memory

19.4MiB live, 178.4MiB allocated

Counts

22 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
66.0ms	x	@	0	(/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau))))
48.0ms	x	@	-inf	(/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau)))))
46.0ms	tau	@	inf	(/ (sin (* (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau)))))
42.0ms	tau	@	inf	(+ (* -1/6 (* tau tau)) -1/6)
8.0ms	tau	@	-inf	(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI))))

simplify688.0ms (4.2%)

Memory

-9.7MiB live, 624.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 712×	`lower-fma.f64`
12 712×	`lower-fma.f32`
8 638×	`lower-*.f64`
8 638×	`lower-*.f32`
2 958×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	490	8811
1	1687	8513
2	6869	8450
0	8106	8115

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 455

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

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

rewrite510.0ms (3.1%)

Memory

25.2MiB live, 552.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 494×	`lower-*.f64`
4 464×	`lower-*.f32`
4 446×	`lower-/.f64`
4 426×	`lower-/.f32`
2 980×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	352
0	86	350
1	294	334
2	2173	334
0	8090	332

Stop Event

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

Counts

22 → 1 306

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) x)))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) (*.f32 x tau)) (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))) (*.f32 x (neg.f32 tau))))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) x)) #s(literal -1 binary32)))
(pow.f32 (.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) x) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1 binary32))
(pow.f32 (.f32 (.f32 (/.f32 (PI.f32) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (.f32 x tau)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 tau (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) x) (.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) x)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) x))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 x)) (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) (.f32 x tau)) (neg.f32 (PI.f32)))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) (neg.f32 (PI.f32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (neg.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (.f32 x tau) (neg.f32 (PI.f32)))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 x tau) (neg.f32 (PI.f32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 x (neg.f32 tau))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))) (.f32 x (neg.f32 tau))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))) (*.f32 x tau))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))) (neg.f32 (*.f32 x (neg.f32 tau))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) x))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 (PI.f32) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (.f32 x tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 x (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))) x)
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 (/.f32 (PI.f32) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (.f32 x tau))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 tau (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))))
(/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (.f32 (PI.f32) x))) (neg.f32 (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 x tau) (neg.f32 (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x))) (.f32 (.f32 (PI.f32) (*.f32 x tau)) (neg.f32 (PI.f32))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (*.f32 x tau)) (neg.f32 (PI.f32)))) (neg.f32 x))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (PI.f32) x))))) (*.f32 x (neg.f32 tau)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 x (neg.f32 tau)))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))
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(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (neg.f32 (.f32 (PI.f32) x)))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 1 binary32))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) #s(literal 1 binary32))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(.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 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (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)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32))
(sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))
(cbrt.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (PI.f32) (PI.f32))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (PI.f32) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (PI.f32)) (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (pow.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32))
(pow.f32 (/.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))) (fma.f32 (.f32 #s(literal -1/216 binary32) (.f32 tau (.f32 tau tau))) (.f32 tau (.f32 tau tau)) #s(literal -1/216 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32))) #s(literal -1 binary32))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))
(fma.f32 (*.f32 tau #s(literal -1/6 binary32)) tau #s(literal -1/6 binary32))
(-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(-.f32 (/.f32 #s(literal 1/36 binary32) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))) (fma.f32 (.f32 #s(literal -1/216 binary32) (.f32 tau (.f32 tau tau))) (.f32 tau (.f32 tau tau)) #s(literal -1/216 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))) (fma.f32 (.f32 #s(literal -1/216 binary32) (.f32 tau (.f32 tau tau))) (.f32 tau (.f32 tau tau)) #s(literal -1/216 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 (.f32 #s(literal -1/216 binary32) (.f32 tau (.f32 tau tau))) (.f32 tau (.f32 tau tau)) #s(literal -1/216 binary32)) (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))))
(/.f32 (fma.f32 (.f32 #s(literal -1/216 binary32) (.f32 tau (.f32 tau tau))) (.f32 tau (.f32 tau tau)) #s(literal -1/216 binary32)) (+.f32 #s(literal 1/36 binary32) (-.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))
(/.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 #s(literal -1/216 binary32) (.f32 tau (.f32 tau tau))) (.f32 tau (.f32 tau tau)) #s(literal -1/216 binary32))) (neg.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 #s(literal -1/216 binary32) (.f32 tau (.f32 tau tau))) (.f32 tau (.f32 tau tau)) #s(literal -1/216 binary32))) (neg.f32 (+.f32 #s(literal 1/36 binary32) (-.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32))) (neg.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 #s(literal -1/216 binary32) (.f32 tau (.f32 tau tau))) (.f32 tau (.f32 tau tau)) #s(literal -1/216 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)))) (neg.f32 (neg.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))) (neg.f32 (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))))
(.f32 (fma.f32 (.f32 #s(literal -1/216 binary32) (.f32 tau (.f32 tau tau))) (.f32 tau (.f32 tau tau)) #s(literal -1/216 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))))
(.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32))
(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) (*.f32 x tau)) (PI.f32))
(.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau))
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x tau))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 (PI.f32) (.f32 x tau))))
(.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)
(.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)

eval359.0ms (2.2%)

Memory: -11.9MiB live, 452.6MiB allocated
Compiler: Compiled 56 283 to 3 970 computations (92.9% saved)

prune541.0ms (3.3%)

Memory

25.8MiB live, 665.4MiB allocated

Pruning

83 alts after pruning (77 fresh and 6 done)

	Pruned	Kept	Total
New	2 028	44	2 072
Fresh	10	33	43
Picked	2	3	5
Done	0	3	3
Total	2 040	83	2 123

Accuracy

99.7%

Counts

2 123 → 83

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (PI.f32)) (.f32 x tau))
	83.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))) (PI.f32)) (.f32 x tau))
	68.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (PI.f32)) (*.f32 x tau))
	97.2%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (*.f32 x tau))) (PI.f32))
	74.7%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau)))) (.f32 x x)) (.f32 tau (PI.f32))))) (PI.f32)) (.f32 x tau))
	59.9%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (*.f32 x tau))
	96.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
	70.8%	(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) (/.f32 #s(literal 1 binary32) x)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (*.f32 x (PI.f32))) tau))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) x))
▶	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) (.f32 x tau)))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (.f32 x tau)))) (*.f32 (PI.f32) (PI.f32)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32))))))
	75.0%	(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (PI)) (.f32 x (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 tau (.f32 tau (.f32 tau tau)))) tau))) (.f32 x tau))
✓	97.1%	(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))))
	74.8%	(/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (*.f32 x x)) x))))
	74.8%	(/.f32 #s(literal 1 binary32) #s(approx (/ x (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) (* x tau)))))) (fma.f32 (.f32 x x) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	96.9%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
✓	97.2%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.2%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (PI.f32))))
	83.5%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	97.1%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 #s(literal 1 binary32) x))
	95.1%	(.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (.f32 tau (cbrt.f32 (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
▶	68.1%	(.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)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) x)))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)))) (sin.f32 (.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) tau))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
	83.5%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	68.0%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	96.4%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) (pow.f32 (.f32 (.f32 x tau) (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) #s(literal -1 binary32)))
▶	97.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
	83.5%	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (*.f32 (PI.f32) tau)) x)))
	84.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	94.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	68.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	83.1%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
	76.6%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
	82.9%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
	76.4%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) tau) x (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	90.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	90.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (/.f32 (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) tau)) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))
	83.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (*.f32 (PI.f32) tau) x)))
	75.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) tau)) (*.f32 tau (PI.f32))))))
	61.0%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 x (.f32 tau (PI.f32)))))
	75.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 tau (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x)) (*.f32 x (PI.f32))))))
	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau (.f32 tau (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 tau tau)) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (PI.f32) tau) (.f32 tau #s(literal 1 binary32))) (.f32 tau (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
▶	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau))) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(approx (+ (* (* x x) (/ (* -1/6 (PI)) tau)) (/ 1 (* tau (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	68.0%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(approx (+ (* (* x x) (/ (* -1/6 (PI)) tau)) (/ 1 (* tau (PI)))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 (PI.f32) tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	68.0%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	83.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* (* x x) (/ (* -1/6 (PI)) tau)) (/ 1 (* tau (PI)))) x) (fma.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 x (.f32 (PI.f32) (.f32 (.f32 x x) tau)))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	83.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* (* x x) (/ (* -1/6 (PI)) tau)) (/ 1 (* tau (PI)))) x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* (* x x) (/ (* -1/6 (PI)) tau)) (/ 1 (* tau (PI)))) x) (neg.f32 (.f32 x (fma.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) tau)))))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	91.7%	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
	75.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
	82.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
	75.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
✓	75.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	75.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32)))
	75.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	66.5%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #s(literal 1 binary32)))
	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	66.5%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
▶	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	4.4%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 x (.f32 x (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))))))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
✓	60.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 152 to 2 373 computations (42.8% saved)

simplify298.0ms (1.8%)

Memory

12.9MiB live, 519.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (PI.f32) (.f32 tau (*.f32 x (PI.f32))))
✓	cost-diff	0	(.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32))))))
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
✓	cost-diff	0	(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau))) x)
✓	cost-diff	0	#s(approx (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau))) x))
✓	cost-diff	0	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau))) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	cost-diff	64	(+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau)))
✓	cost-diff	0	(.f32 (.f32 x (PI.f32)) tau)
✓	cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
✓	cost-diff	0	(.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
✓	cost-diff	0	(fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
✓	cost-diff	0	#s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
✓	cost-diff	0	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
✓	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
✓	cost-diff	128	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) (.f32 x tau)))))

Rules

13 294×	`lower-fma.f64`
13 292×	`lower-fma.f32`
4 260×	`lower-*.f64`
4 218×	`lower-*.f32`
2 498×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	483
0	108	483
1	237	483
2	680	479
3	2702	479
4	4913	479
5	7991	479
0	8113	471

Stop Event

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

Calls

Call 1

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

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

localize190.0ms (1.1%)

Memory

1.1MiB live, 320.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 tau (*.f32 x (PI.f32))))
✓	accuracy	98.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
✓	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau))) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	accuracy	84.5%	#s(approx (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau))) x))
✓	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.6%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	68.3%	(.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)))
✓	accuracy	99.8%	(fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
✓	accuracy	59.7%	#s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
✓	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	accuracy	98.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) (.f32 x tau)))))

Samples

126.0ms

256×

valid

Compiler

Compiled 406 to 57 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 48.0ms (45.3% of total)

ival-div: 29.0ms (27.3% of total)

ival-sin: 16.0ms (15.1% of total)

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

const: 5.0ms (4.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series101.0ms (0.6%)

Memory

-16.5MiB live, 179.7MiB allocated

Counts

24 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
5.0ms	tau	@	inf	(/ (* (sin (* (PI) (* x tau))) (neg (sin (* (PI) x)))) (* (* (PI) x) (neg (* (PI) (* x tau)))))
3.0ms	tau	@	-inf	(* (/ 1 (* x (* (PI) (* tau (* x (PI)))))) (* (sin (* x (PI))) (sin (* tau (* x (PI))))))
2.0ms	x	@	-inf	(* (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (sin (* (PI) (* x tau))))
2.0ms	x	@	-inf	(+ (* x (* x (* -1/6 (* (PI) (PI))))) 1)
2.0ms	tau	@	-inf	(/ (* (sin (* (PI) (* x tau))) (neg (sin (* (PI) x)))) (* (* (PI) x) (neg (* (PI) (* x tau)))))

simplify664.0ms (4%)

Memory

-176.2MiB live, 645.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 904×	`lower-fma.f64`
15 904×	`lower-fma.f32`
7 644×	`lower-*.f64`
7 644×	`lower-*.f32`
4 940×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	7907
1	1098	7732
2	4314	7502
0	8034	7246

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

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

rewrite329.0ms (2%)

Memory

12.1MiB live, 676.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 984×	`lower-*.f64`
4 942×	`lower-*.f32`
4 416×	`lower-/.f64`
4 404×	`lower-/.f32`
3 916×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	362
0	108	358
1	391	335
2	2439	335
0	8726	324

Stop Event

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

Counts

24 → 848

Calls

Call 1

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

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

eval134.0ms (0.8%)

Memory: 33.7MiB live, 342.2MiB allocated
Compiler: Compiled 40 231 to 2 766 computations (93.1% saved)

prune278.0ms (1.7%)

Memory

-21.5MiB live, 733.4MiB allocated

Pruning

110 alts after pruning (104 fresh and 6 done)

	Pruned	Kept	Total
New	1 528	49	1 577
Fresh	17	55	72
Picked	3	2	5
Done	2	4	6
Total	1 550	110	1 660

Accuracy

99.7%

Counts

1 660 → 110

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))) (PI.f32)) (.f32 x tau))
	97.2%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (*.f32 x tau))) (PI.f32))
	74.7%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau)))) (.f32 x x)) (.f32 tau (PI.f32))))) (PI.f32)) (.f32 x tau))
	59.9%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (*.f32 x tau))
	96.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
	70.8%	(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (*.f32 x (PI.f32))) tau))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) x))
	70.9%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 x (.f32 x tau)))) (cos.f32 (.f32 (PI.f32) (+.f32 x (.f32 x tau))))) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x (.f32 tau (.f32 (PI.f32) x))))))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) (.f32 x tau)))))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 x tau) (.f32 (PI.f32) x))))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) #s(approx (* (* (PI) x) (neg (* (PI) (* x tau)))) (neg.f32 (.f32 tau (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32))))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x (.f32 tau (.f32 (PI.f32) x)))))
	75.0%	(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (PI)) (.f32 x (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 tau (.f32 tau (.f32 tau tau)))) tau))) (.f32 x tau))
	74.8%	(/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (*.f32 x x)) x))))
	74.8%	(/.f32 #s(literal 1 binary32) #s(approx (/ x (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) (* x tau)))))) (fma.f32 (.f32 x x) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	77.5%	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (-.f32 x (.f32 x tau)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 tau (.f32 (PI.f32) x))))) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (+.f32 x (.f32 x tau)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 tau (.f32 (PI.f32) x))))))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	97.1%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (PI.f32) (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
	96.9%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
✓	97.2%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.2%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (PI.f32))))
	83.5%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	97.1%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 #s(literal 1 binary32) x))
	95.1%	(.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	67.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (.f32 tau (cbrt.f32 (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
✓	68.1%	(.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)))
	67.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) x)))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) x)))) (sin.f32 (.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x (.f32 tau (.f32 (PI.f32) x))))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
	68.0%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) tau))
	68.0%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) (PI.f32)))
	68.0%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
	66.1%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	60.0%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	66.3%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	83.5%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	68.0%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	68.1%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	96.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x tau) x))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
	97.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
	96.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
	96.7%	(.f32 (.f32 (pow.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
	68.0%	(.f32 (.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (neg.f32 tau))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	83.5%	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (*.f32 (PI.f32) tau)) x)))
	83.4%	(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
	66.5%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	84.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	94.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	83.1%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
	76.6%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
	82.9%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
	76.4%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
	90.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) tau) (.f32 x (.f32 x (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	90.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (/.f32 (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) tau)) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	83.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (*.f32 (PI.f32) tau) x)))
	75.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) tau)) (*.f32 tau (PI.f32))))))
	61.0%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 x (.f32 tau (PI.f32)))))
	75.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 tau (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x)) (*.f32 x (PI.f32))))))
	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau (.f32 tau (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 tau tau)) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) tau) tau (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 (PI.f32) tau)) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (PI.f32) tau) (.f32 tau #s(literal 1 binary32))) (.f32 tau (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
✓	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau))) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	75.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau))) x)) #s(approx (sin (* (PI) (* x tau))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (*.f32 tau (PI.f32))))))
	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(approx (+ (/ 1 (* (PI) tau)) (* (* x x) (/ (* (PI) -1/6) tau))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	68.0%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(approx (+ (/ 1 (* (PI) tau)) (* (* x x) (/ (* (PI) -1/6) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (fma.f32 x (.f32 x (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 (PI.f32) tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	68.0%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	83.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (.f32 (fma.f32 x (.f32 x (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	83.4%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (/ 1 (* (PI) tau)) (* (* x x) (/ (* (PI) -1/6) tau))) x) (fma.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 x (.f32 (.f32 x x) (.f32 tau (PI.f32))))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	83.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (/ 1 (* (PI) tau)) (* (* x x) (/ (* (PI) -1/6) tau))) x) (/.f32 (fma.f32 (PI.f32) (.f32 (.f32 x x) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) (PI.f32))) (.f32 x (neg.f32 tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (/ 1 (* (PI) tau)) (* (* x x) (/ (* (PI) -1/6) tau))) x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (/ 1 (* (PI) tau)) (* (* x x) (/ (* (PI) -1/6) tau))) x) (neg.f32 (.f32 x (fma.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau) (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (.f32 tau (PI.f32))))))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	83.3%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* (* x x) (/ (* -1/6 (PI)) tau)) (/ 1 (* tau (PI)))) x) (fma.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 x (.f32 (PI.f32) (.f32 (.f32 x x) tau)))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	91.7%	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
	75.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
	82.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
	75.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
✓	75.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	75.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32)))
	75.6%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	66.5%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #s(literal 1 binary32)))
	66.5%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
	97.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal 1 binary32))))
	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32))))
	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)))) #s(literal 1 binary32))))
	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) x)) #s(literal -1 binary32)))))
	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) x)))))))
	61.1%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32)) (fma.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) x)) #s(literal -1 binary32))))))
	4.7%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* x (* x (* -1/6 (* (PI) (PI))))) 1) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
✓	60.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 6 667 to 2 226 computations (66.6% saved)

regimes297.0ms (1.8%)

Memory

-21.4MiB live, 478.0MiB allocated

Counts

165 → 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 (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* x (* x (* -1/6 (* (PI) (PI))))) 1) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 x (.f32 x (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
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(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (.f32 tau (cbrt.f32 (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))

Outputs

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

Calls

4 calls:

118.0ms	(.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
51.0ms	(*.f32 x (PI.f32))
45.0ms	x

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes147.0ms (0.9%)

Memory

29.0MiB live, 342.2MiB allocated

Counts

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

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

Calls

4 calls:

36.0ms	(*.f32 x (PI.f32))
35.0ms	x
35.0ms	tau
34.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes182.0ms (1.1%)

Memory

2.6MiB live, 316.9MiB allocated

Counts

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

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

Calls

4 calls:

70.0ms	x
37.0ms	tau
37.0ms	(*.f32 x (PI.f32))
33.0ms	(.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 x (PI.f32))`
97.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes142.0ms (0.9%)

Memory

-9.2MiB live, 378.2MiB allocated

Counts

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

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

Calls

4 calls:

36.0ms	(*.f32 x (PI.f32))
34.0ms	x
34.0ms	tau
33.0ms	(.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
97.3%	1	`x`
97.3%	1	`tau`
97.3%	1	`(*.f32 x (PI.f32))`
97.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes145.0ms (0.9%)

Memory

40.3MiB live, 312.2MiB allocated

Counts

107 → 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 (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* x (* x (* -1/6 (* (PI) (PI))))) 1) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 x (.f32 x (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (*.f32 x tau))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (.f32 x (.f32 (PI.f32) (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(/.f32 #s(literal 1 binary32) #s(approx (/ x (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) (* x tau)))))) (fma.f32 (.f32 x x) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (*.f32 x x)) x))))
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#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (/.f32 (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) tau)) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (.f32 tau (PI.f32)) x)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 x (PI.f32)) (.f32 tau (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x (.f32 tau (.f32 (PI.f32) x))))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))

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

Calls

4 calls:

48.0ms	x
32.0ms	tau
30.0ms	(*.f32 x (PI.f32))
29.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.3%	1	`(*.f32 x (PI.f32))`
97.3%	1	`tau`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes179.0ms (1.1%)

Memory

-26.7MiB live, 370.1MiB allocated

Counts

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

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

Calls

4 calls:

66.0ms	tau
41.0ms	(*.f32 x (PI.f32))
33.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
30.0ms	x

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.3%	1	`(*.f32 x (PI.f32))`
97.3%	1	`tau`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes141.0ms (0.8%)

Memory

15.6MiB live, 222.5MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

38.0ms	(*.f32 x (PI.f32))
36.0ms	x
31.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
30.0ms	tau

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(*.f32 x (PI.f32))`
97.1%	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))))`
97.1%	1	`tau`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes183.0ms (1.1%)

Memory

1.1MiB live, 276.3MiB allocated

Counts

100 → 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 (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* x (* x (* -1/6 (* (PI) (PI))))) 1) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 x (.f32 x (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
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(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (fma.f32 x (.f32 x (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) tau) (.f32 x (.f32 x (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (/.f32 (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) tau)) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))

Outputs

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

Calls

4 calls:

77.0ms	x
37.0ms	(.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))))
33.0ms	(*.f32 x (PI.f32))
31.0ms	tau

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`(*.f32 x (PI.f32))`
96.9%	1	`tau`
96.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes130.0ms (0.8%)

Memory

-7.7MiB live, 233.5MiB allocated

Counts

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

Outputs

(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau)) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))

Calls

4 calls:

33.0ms	x
33.0ms	(*.f32 x (PI.f32))
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))))
30.0ms	tau

Results

Accuracy	Segments	Branch
90.3%	1	`x`
90.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
90.3%	1	`(*.f32 x (PI.f32))`
90.3%	1	`tau`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes164.0ms (1%)

Memory

5.3MiB live, 213.1MiB allocated

Counts

97 → 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 (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* x (* x (* -1/6 (* (PI) (PI))))) 1) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
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#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal 1 binary32))))
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(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (/ 1 (* (PI) tau)) (* (* x x) (/ (* (PI) -1/6) tau))) x) (neg.f32 (.f32 x (fma.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau) (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (.f32 tau (PI.f32))))))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (*.f32 (PI.f32) tau)) x)))
(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (*.f32 (PI.f32) tau) x)))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) tau) x (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau))) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (.f32 (fma.f32 x (.f32 x (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 (PI.f32) tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (PI.f32) tau) (.f32 tau #s(literal 1 binary32))) (.f32 tau (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) tau) tau (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 (PI.f32) tau)) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau (.f32 tau (.f32 x (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 tau tau)) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (fma.f32 x (.f32 x (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) tau) (.f32 x (.f32 x (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))

Outputs

(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))

Calls

4 calls:

56.0ms	x
48.0ms	tau
28.0ms	(*.f32 x (PI.f32))
27.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
90.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
90.3%	1	`x`
90.3%	1	`tau`
90.3%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes112.0ms (0.7%)

Memory

-3.3MiB live, 192.2MiB allocated

Counts

95 → 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 (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* x (* x (* -1/6 (* (PI) (PI))))) 1) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 x (.f32 x (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (*.f32 x tau))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (.f32 x (.f32 (PI.f32) (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(/.f32 #s(literal 1 binary32) #s(approx (/ x (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) (* x tau)))))) (fma.f32 (.f32 x x) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (*.f32 x x)) x))))
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (PI)) (.f32 x (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 tau (.f32 tau (.f32 tau tau)))) tau))) (.f32 x tau))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32)))
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(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32)) x))) (.f32 x (PI.f32))))

Outputs

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

Calls

4 calls:

28.0ms	(*.f32 x (PI.f32))
27.0ms	tau
26.0ms	(.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))))
26.0ms	x

Results

Accuracy	Segments	Branch
84.0%	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))))`
84.0%	1	`x`
84.0%	1	`(*.f32 x (PI.f32))`
84.0%	1	`tau`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes72.0ms (0.4%)

Memory

23.8MiB live, 141.0MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

18.0ms	(*.f32 x (PI.f32))
18.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
17.0ms	x
16.0ms	tau

Results

Accuracy	Segments	Branch
84.0%	1	`tau`
84.0%	1	`x`
84.0%	1	`(*.f32 x (PI.f32))`
84.0%	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 34 to 18 computations (47.1% saved)

regimes68.0ms (0.4%)

Memory

-3.7MiB live, 113.4MiB allocated

Counts

54 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

18.0ms	tau
17.0ms	(*.f32 x (PI.f32))
15.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
15.0ms	x

Results

Accuracy	Segments	Branch
76.6%	1	`x`
76.6%	1	`(*.f32 x (PI.f32))`
76.6%	1	`tau`
76.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes81.0ms (0.5%)

Memory

-28.9MiB live, 92.7MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

35.0ms	x
15.0ms	tau
15.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
14.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
75.9%	1	`x`
75.9%	1	`(*.f32 x (PI.f32))`
75.9%	1	`tau`
75.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes61.0ms (0.4%)

Memory

29.3MiB live, 67.2MiB 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 (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* x (* x (* -1/6 (* (PI) (PI))))) 1) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 x (.f32 x (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (*.f32 x tau))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (.f32 x (.f32 (PI.f32) (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(/.f32 #s(literal 1 binary32) #s(approx (/ x (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) (* x tau)))))) (fma.f32 (.f32 x x) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (*.f32 x x)) x))))
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (PI)) (.f32 x (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 tau (.f32 tau (.f32 tau tau)))) tau))) (.f32 x tau))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 x (.f32 tau (PI.f32)))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) x)) #s(literal -1 binary32)))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) x)))))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau)))) (.f32 x x)) (.f32 tau (PI.f32))))) (PI.f32)) (.f32 x tau))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32)) (fma.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) x)) #s(literal -1 binary32))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 tau (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x)) (*.f32 x (PI.f32))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) tau)) (*.f32 tau (PI.f32))))))

Outputs

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

Calls

4 calls:

28.0ms	(*.f32 x (PI.f32))
10.0ms	tau
10.0ms	x
10.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
75.9%	1	`x`
75.9%	1	`(*.f32 x (PI.f32))`
75.9%	1	`tau`
75.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes44.0ms (0.3%)

Memory

2.9MiB live, 78.4MiB allocated

Counts

34 → 1

Calls

Call 1

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

Outputs

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

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))
10.0ms	tau
10.0ms	x

Results

Accuracy	Segments	Branch
75.7%	1	`x`
75.7%	1	`(*.f32 x (PI.f32))`
75.7%	1	`tau`
75.7%	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 34 to 18 computations (47.1% saved)

regimes45.0ms (0.3%)

Memory

-4.7MiB live, 73.5MiB allocated

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

12.0ms	(.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	x
10.0ms	tau
9.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
75.6%	1	`x`
75.6%	1	`(*.f32 x (PI.f32))`
75.6%	1	`tau`
75.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes22.0ms (0.1%)

Memory

13.7MiB live, 52.3MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.6%	1	`x`
75.6%	1	`tau`
75.6%	1	`(*.f32 x (PI.f32))`
75.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes23.0ms (0.1%)

Memory

-32.4MiB live, 48.5MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

7.0ms	tau
5.0ms	(*.f32 x (PI.f32))
4.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms	x

Results

Accuracy	Segments	Branch
66.5%	1	`tau`
66.5%	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))))`
66.5%	1	`x`
66.5%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes18.0ms (0.1%)

Memory

0.4MiB live, 38.4MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes13.0ms (0.1%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes10.0ms (0.1%)

Memory

-15.2MiB live, 23.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes8.0ms (0%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes7.0ms (0%)

Memory

-22.2MiB live, 16.8MiB allocated

Accuracy

Total -18.1b remaining (-142.1%)

Threshold costs -18.1b (-142.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

2.0ms	(*.f32 x (PI.f32))
2.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
1.0ms	x
1.0ms	tau

Results

Accuracy	Segments	Branch
60.1%	1	`tau`
60.1%	1	`x`
60.1%	1	`(*.f32 x (PI.f32))`
60.1%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify167.0ms (1%)

Memory

23.4MiB live, 64.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 050×	`neg-mul-1_binary32`
922×	`distribute-lft-neg-in_binary32`
862×	`unsub-neg_binary32`
712×	`distribute-lft-neg-out_binary32`
678×	`neg-sub0_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	971
1	283	971
2	326	971
3	378	967
4	446	967
5	563	967
6	748	967
7	1211	967
8	1867	967
9	2578	967
10	3287	967
11	3821	967
12	3921	967
13	3956	967
14	3959	967
15	4121	967
16	4184	967
17	4206	967
18	4216	967
19	4223	967
20	4227	967
21	4228	967
22	4228	967

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 x tau) (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x (.f32 tau (.f32 (PI.f32) x))))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (/.f32 (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) tau)) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau))) x)) #s(approx (sin (* (PI) (* x tau))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (*.f32 tau (PI.f32))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) tau)) (*.f32 tau (PI.f32))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 tau (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x)) (*.f32 x (PI.f32))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Outputs
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 x tau) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (.f32 x tau) (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x (.f32 tau (.f32 (PI.f32) x))))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (.f32 tau (.f32 x (PI.f32)))))) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 tau (.f32 x x)))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (/.f32 (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) tau)) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (/.f32 (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) tau)) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) #s(approx (/ (sin (* (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau))) x)) #s(approx (sin (* (PI) (* x tau))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (*.f32 tau (PI.f32))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) (.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau))) x)) #s(approx (sin (* (PI) (* x tau))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (*.f32 tau (PI.f32))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) tau)) (*.f32 tau (PI.f32))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (*.f32 tau (PI.f32))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 tau (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x)) (*.f32 x (PI.f32))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (/.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) #s(approx (sin ( (PI) (* x tau))) (.f32 tau (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 tau (.f32 tau (.f32 x x))))) (*.f32 x (PI.f32))))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 (.f32 x (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (PI) (* x tau))) x) (sin (* x (PI)))) (* (PI) (* (PI) (* x tau)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

soundness2.4s (14.7%)

Memory

14.0MiB live, 1 660.0MiB allocated

Rules

18 942×	`lower-fma.f64`
18 942×	`lower-fma.f32`
16 966×	`lower-fma.f64`
16 966×	`lower-fma.f32`
15 904×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	352
0	86	350
1	294	334
2	2173	334
0	8090	332
0	196	1582
1	620	1562
2	2413	1538
3	4145	1538
4	4880	1538
5	5560	1538
6	5950	1538
7	5981	1538
8	5981	1538
0	8826	1486
0	66	362
0	108	358
1	391	335
2	2439	335
0	8726	324
0	334	7907
1	1098	7732
2	4314	7502
0	8034	7246
0	336	6994
1	1108	6866
2	4201	6708
3	7605	6704
0	8029	6477
0	490	8811
1	1687	8513
2	6869	8450
0	8106	8115
0	10	55
0	18	55
1	63	55
2	483	53
3	6485	53
0	8114	53

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×	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

Compiler

Compiled 1 467 to 599 computations (59.2% saved)

preprocess113.0ms (0.7%)

Memory

4.6MiB live, 236.8MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 2 750 to 1 008 computations (63.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze24.0ms (0.1%)

sample1.5s (9%)

preprocess95.0ms (0.6%)

explain136.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.2%)

localize92.0ms (0.6%)

series35.0ms (0.2%)

simplify508.0ms (3.1%)

rewrite286.0ms (1.7%)

eval269.0ms (1.6%)

prune430.0ms (2.6%)

simplify166.0ms (1%)

localize294.0ms (1.8%)

series331.0ms (2%)

simplify1.0s (6.2%)

rewrite272.0ms (1.6%)

eval210.0ms (1.3%)

prune519.0ms (3.1%)

simplify694.0ms (4.2%)

localize233.0ms (1.4%)

series317.0ms (1.9%)

simplify688.0ms (4.2%)

rewrite510.0ms (3.1%)

eval359.0ms (2.2%)

prune541.0ms (3.3%)

simplify298.0ms (1.8%)

localize190.0ms (1.1%)

series101.0ms (0.6%)

simplify664.0ms (4%)

rewrite329.0ms (2%)

eval134.0ms (0.8%)

prune278.0ms (1.7%)

regimes297.0ms (1.8%)

regimes147.0ms (0.9%)

regimes182.0ms (1.1%)

regimes142.0ms (0.9%)

regimes145.0ms (0.9%)

regimes179.0ms (1.1%)

regimes141.0ms (0.8%)

regimes183.0ms (1.1%)

regimes130.0ms (0.8%)

regimes164.0ms (1%)

regimes112.0ms (0.7%)

regimes72.0ms (0.4%)

regimes68.0ms (0.4%)

regimes81.0ms (0.5%)

regimes61.0ms (0.4%)

regimes44.0ms (0.3%)

regimes45.0ms (0.3%)

regimes22.0ms (0.1%)

regimes23.0ms (0.1%)

regimes18.0ms (0.1%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0%)

regimes7.0ms (0%)

simplify167.0ms (1%)

soundness2.4s (14.7%)

preprocess113.0ms (0.7%)

end0.0ms (0%)

Profiling