Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze21.0ms (0.2%)

Memory

32.8MiB live, 32.8MiB 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 (12.2%)

Memory

17.3MiB live, 2 316.2MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 915.0ms

ival-mult: 216.0ms (23.6% of total)

ival-sinu: 140.0ms (15.3% of total)

ival-div: 138.0ms (15.1% of total)

const: 133.0ms (14.5% of total)

ival-sin: 129.0ms (14.1% of total)

ival-<=: 89.0ms (9.7% of total)

ival-pi: 36.0ms (3.9% of total)

ival-and: 23.0ms (2.5% of total)

exact: 8.0ms (0.9% of total)

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

Bogosity

explain350.0ms (2.8%)

Memory

-16.7MiB live, 303.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.9850603938102722 1.3928455114364624)	`(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	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	1
-	0	0	255

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

219.0ms

512×

valid

Compiler

Compiled 335 to 132 computations (60.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-sinu: 178.0ms (87% of total)

ival-mult: 10.0ms (4.9% of total)

ival-sin: 7.0ms (3.4% of total)

ival-div: 6.0ms (2.9% of total)

ival-pi: 2.0ms (1% of total)

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

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

preprocess70.0ms (0.6%)

Memory

12.2MiB live, 50.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(.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))))

Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify21.0ms (0.2%)

Memory

-8.3MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.3%)

Memory

18.5MiB live, 53.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.28515625	(*.f32 x (PI.f32))
accuracy	0.3220113957206706	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.39195253907376804	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.4170112793053261	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

28.0ms

256×

valid

Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 7.0ms (34.2% of total)

ival-mult: 5.0ms (24.4% of total)

ival-sinu: 4.0ms (19.5% of total)

ival-sin: 4.0ms (19.5% of total)

ival-pi: 1.0ms (4.9% of total)

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

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

series56.0ms (0.5%)

Memory

-50.7MiB live, 56.6MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#s(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)))) (patch (.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)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())

Outputs
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(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))))))))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor inf tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor inf tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor inf tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
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#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
7.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
5.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
4.0ms	x	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
3.0ms	x	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))

simplify250.0ms (2%)

Memory

43.6MiB live, 267.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1582
1	620	1562
2	2407	1538
3	4137	1538
4	4871	1538
5	5550	1538
6	5940	1538
7	5971	1538
8	5971	1538
0	8816	1486

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite158.0ms (1.3%)

Memory

-2.1MiB live, 158.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

6 → 670

Calls

Call 1

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

Outputs
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eval158.0ms (1.3%)

Memory: -3.1MiB live, 240.4MiB allocated
Compiler: Compiled 24 307 to 2 341 computations (90.4% saved)

prune96.0ms (0.8%)

Memory

12.5MiB live, 208.2MiB allocated

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	979	34	1 013
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	979	35	1 014

Accuracy

99.8%

Counts

1 014 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) x))) (PI.f32))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (.f32 x (.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
▶	97.2%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
	97.8%	(/.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (/.f32 (.f32 (neg.f32 (PI.f32)) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))))
▶	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
▶	98.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	97.2%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (PI.f32)))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) x) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 x (PI.f32))))
	96.3%	(.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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))))
✓	98.0%	(.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))))
	69.6%	(.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)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.0%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau)))
	97.2%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	62.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	97.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
▶	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 503 to 868 computations (42.2% saved)

simplify155.0ms (1.2%)

Memory

-20.2MiB live, 249.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
cost-diff	0	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
cost-diff	352	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau))
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))
cost-diff	128	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
cost-diff	0	(.f32 (.f32 tau (PI.f32)) x)
cost-diff	0	(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
cost-diff	0	(.f32 tau (.f32 (PI.f32) x))
cost-diff	0	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
cost-diff	192	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	353
0	81	355
1	187	353
2	519	345
3	2526	345
4	4966	345
0	8051	345

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (1%)

Memory

18.6MiB live, 301.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.3220113957206706	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.36556625976844204	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau))
accuracy	0.40072250976844204	(.f32 (PI.f32) (.f32 (PI.f32) x))
accuracy	0.43396381837909415	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
accuracy	0.3220113957206706	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.39195253907376804	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
accuracy	0.403007519536884	(.f32 (.f32 (neg.f32 x) tau) (PI.f32))
accuracy	0.4342575195368841	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
accuracy	0.3220113957206706	(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
accuracy	0.328125	(*.f32 tau (PI.f32))
accuracy	0.39195253907376804	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.4170112793053261	(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	12.172860372096048	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.3203125	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x))
accuracy	0.3220113957206706	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4170112793053261	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.44759750976844204	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))

Samples

93.0ms

256×

valid

Compiler

Compiled 685 to 77 computations (88.8% saved)

Precisions

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

ival-mult: 33.0ms (43% of total)

ival-sin: 20.0ms (26.1% of total)

ival-div: 14.0ms (18.2% of total)

ival-sinu: 4.0ms (5.2% of total)

ival-neg: 4.0ms (5.2% 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)

series52.0ms (0.4%)

Memory

11.2MiB live, 168.9MiB allocated

Counts

22 → 456

Calls

Call 1

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

Outputs
#s(alt (/ -1 (* x (PI))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (patch (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) #<representation binary32>) () ())) ())
#s(alt (- (* 1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (patch (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) #<representation binary32>) () ())) ())
#s(alt (- (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* 1/6 (* x (PI))))) (/ 1 (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (patch (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) #<representation binary32>) () ())) ())
#s(alt (- (* (pow tau 2) (+ (* 1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (pow (PI) 3))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) (/ 1 (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (patch (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) #<representation binary32>) () ())) ())
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#s(alt (+ (* (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)))))))))) (taylor 0 tau) (#s(alt (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (patch (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) #<representation binary32>) () ())) ())
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#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x))) (patch (/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x))) (patch (/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (taylor -inf x) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (taylor -inf x) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (taylor -inf x) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (taylor -inf x) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) x) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (patch (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) x) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (patch (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) x) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (patch (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) x) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (patch (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* tau (* x (PI)))) (taylor -inf x) (#s(alt (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (patch (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* tau (* x (PI)))) (taylor -inf x) (#s(alt (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (patch (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* tau (* x (PI)))) (taylor -inf x) (#s(alt (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (patch (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* tau (* x (PI)))) (taylor -inf x) (#s(alt (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (patch (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (.f32 (PI.f32) (.f32 (PI.f32) x)) (patch (.f32 (PI.f32) (.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (.f32 (PI.f32) (.f32 (PI.f32) x)) (patch (.f32 (PI.f32) (.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (.f32 (PI.f32) (.f32 (PI.f32) x)) (patch (.f32 (PI.f32) (.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (.f32 (PI.f32) (.f32 (PI.f32) x)) (patch (.f32 (PI.f32) (.f32 (PI.f32) x)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (neg (sin (* tau (* (PI) x))))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)) (* (* (neg x) tau) (PI)) (* (PI) (* (PI) x)))
6.0ms	tau	@	0	((/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (neg (sin (* tau (* (PI) x))))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)) (* (* (neg x) tau) (PI)) (* (PI) (* (PI) x)))
5.0ms	x	@	inf	((/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (neg (sin (* tau (* (PI) x))))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)) (* (* (neg x) tau) (PI)) (* (PI) (* (PI) x)))
5.0ms	x	@	0	((/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (neg (sin (* tau (* (PI) x))))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)) (* (* (neg x) tau) (PI)) (* (PI) (* (PI) x)))
5.0ms	tau	@	-inf	((/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (neg (sin (* tau (* (PI) x))))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)) (* (* (neg x) tau) (PI)) (* (PI) (* (PI) x)))

simplify346.0ms (2.8%)

Memory

-266.1MiB live, 324.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	401	7378
1	1343	7230
2	5164	7038
0	8736	6801

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

rewrite153.0ms (1.2%)

Memory

4.7MiB live, 281.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	261
0	81	253
1	275	253
2	1705	239
3	7850	239
0	8011	239

Stop Event

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

Counts

22 → 1 797

Calls

Call 1

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

Outputs
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eval265.0ms (2.1%)

Memory: 41.0MiB live, 619.6MiB allocated
Compiler: Compiled 67 597 to 3 999 computations (94.1% saved)

prune132.0ms (1.1%)

Memory

-40.6MiB live, 377.8MiB allocated

Pruning

53 alts after pruning (49 fresh and 4 done)

	Pruned	Kept	Total
New	2 613	34	2 647
Fresh	14	15	29
Picked	2	3	5
Done	0	1	1
Total	2 629	53	2 682

Accuracy

99.8%

Counts

2 682 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)) x)
	97.2%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	97.3%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) x))) (PI.f32))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	95.9%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (neg.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (neg.f32 x) tau)))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	69.5%	(/.f32 (.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
▶	69.4%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	61.8%	(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	97.8%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (*.f32 x (PI.f32)) tau)))
	97.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (*.f32 x (PI.f32))))
	97.3%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
▶	61.8%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	62.7%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	97.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) x) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))) tau)))
	97.0%	(.f32 (pow.f32 (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) #s(literal -1 binary32)) (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) tau)) #s(literal -1 binary32)))
✓	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 x) tau)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
	96.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (neg.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (neg.f32 x) tau))))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) tau) x)) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	69.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) x) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (.f32 x (PI.f32))))
✓	98.0%	(.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))))
	69.6%	(.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)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))))) (.f32 (.f32 (neg.f32 (PI.f32)) x) x)))
✓	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	69.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (.f32 (log.f32 tau) #s(literal -1 binary32)))) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
▶	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	93.4%	(.f32 (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))) #s(literal -1 binary32))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	69.4%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	62.8%	(.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	97.6%	(.f32 (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	97.3%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	97.1%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 x tau)) (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	97.2%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (pow.f32 (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) x) #s(literal -1 binary32))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	97.0%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau)))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
	69.5%	(.f32 #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) tau) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	62.8%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	62.0%	#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	62.7%	#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	58.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
✓	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 191 to 1 364 computations (37.7% saved)

simplify97.0ms (0.8%)

Memory

39.9MiB live, 157.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (*.f32 (sqrt.f32 (PI.f32)) tau)))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (*.f32 x (PI.f32)) tau))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
cost-diff	800	(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (*.f32 (sqrt.f32 (PI.f32)) 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))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
cost-diff	192	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)) x)
cost-diff	0	(PI.f32)
cost-diff	0	#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
cost-diff	0	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
cost-diff	160	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau))
cost-diff	0	(*.f32 (PI.f32) (PI.f32))
cost-diff	0	(.f32 (.f32 (PI.f32) (PI.f32)) x)
cost-diff	0	#s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x))
cost-diff	0	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
cost-diff	0	(PI.f32)
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	192	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	402
0	81	390
1	176	382
2	493	378
3	1778	378
4	2897	378
5	2991	378
6	2991	378
7	3576	378
8	3576	378
0	8862	378

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (1.2%)

Memory

-25.0MiB live, 287.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.348320019536884	(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (*.f32 (sqrt.f32 (PI.f32)) tau))
accuracy	0.359375	(*.f32 (sqrt.f32 (PI.f32)) x)
accuracy	0.39195253907376804	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.4170112793053261	(/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (*.f32 x (PI.f32)) tau))
accuracy	0.3220113957206706	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.32650375976844204	(.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
accuracy	0.3405075195368841	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau))
accuracy	0.40072250976844204	(.f32 (.f32 x (PI.f32)) (PI.f32))
accuracy	0.36556625976844204	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau))
accuracy	0.40072250976844204	(.f32 (PI.f32) (.f32 (PI.f32) x))
accuracy	0.43396381837909415	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
accuracy	9.563419047054943	#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
accuracy	0.40072250976844204	(.f32 (PI.f32) (.f32 (PI.f32) x))
accuracy	0.43396381837909415	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	11.841771561026667	#s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x))
accuracy	0.3131637695368841	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.3220113957206706	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.37890625	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.424823779305326	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))

Samples

111.0ms

256×

valid

Compiler

Compiled 728 to 75 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 39.0ms (45.3% of total)

ival-div: 22.0ms (25.6% of total)

ival-sin: 15.0ms (17.4% of total)

ival-sinu: 6.0ms (7% of total)

ival-sqrt: 3.0ms (3.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory

0.5MiB live, 115.9MiB allocated

Counts

29 → 528

Calls

Call 1

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

Outputs
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x))) (patch (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x))) (patch (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(alt (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x))) (patch (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(alt (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x))) (patch (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* (PI) (sin (* x (PI)))) (taylor 0 tau) (#s(alt #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (patch #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))) (taylor 0 tau) (#s(alt #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (patch #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))))))))) (taylor 0 tau) (#s(alt #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (patch #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) #<representation binary32>) () ())) ())
#s(alt (+ (* (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))))))))))) (taylor 0 tau) (#s(alt #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (patch #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) #<representation binary32>) () ())) ())
#s(alt (* (PI) (sin (* x (PI)))) (taylor 0 tau) (#s(alt (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (patch (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))) (taylor 0 tau) (#s(alt (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (patch (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))))))))) (taylor 0 tau) (#s(alt (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (patch (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) #<representation binary32>) () ())) ())
#s(alt (+ (* (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))))))))))) (taylor 0 tau) (#s(alt (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (patch (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* (PI) (sin (* x (PI))))) (taylor 0 tau) (#s(alt (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI)))))) (taylor 0 tau) (#s(alt (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(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))))))))))) (taylor 0 tau) (#s(alt (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(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)))))))))))) (taylor 0 tau) (#s(alt (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x) (patch (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x) (patch (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x) (patch (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x) (patch (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (* (PI) (sin (* x (PI)))))) (taylor 0 tau) (#s(alt (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (patch (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI))))))) (taylor 0 tau) (#s(alt (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (patch (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))) (taylor 0 tau) (#s(alt (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (patch (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))) (taylor 0 tau) (#s(alt (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (patch (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau)) (patch (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau)) (patch (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau)) (patch (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau)) (patch (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
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#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
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#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
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#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
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#s(alt (* x (sqrt (PI))) (taylor -inf x) (#s(alt (.f32 (sqrt.f32 (PI.f32)) x) (patch (.f32 (sqrt.f32 (PI.f32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (sqrt (PI))) (taylor -inf x) (#s(alt (.f32 (sqrt.f32 (PI.f32)) x) (patch (.f32 (sqrt.f32 (PI.f32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (sqrt (PI))) (taylor -inf x) (#s(alt (.f32 (sqrt.f32 (PI.f32)) x) (patch (.f32 (sqrt.f32 (PI.f32)) x) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	tau	@	0	((* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau)) (* (/ (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (* (* x (PI)) tau)) (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* (PI) x)) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (* x (PI)) (PI)) (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (* (sqrt (PI)) x))
6.0ms	x	@	-inf	((* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau)) (* (/ (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (* (* x (PI)) tau)) (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* (PI) x)) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (* x (PI)) (PI)) (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (* (sqrt (PI)) x))
5.0ms	tau	@	-inf	((* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau)) (* (/ (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (* (* x (PI)) tau)) (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* (PI) x)) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (* x (PI)) (PI)) (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (* (sqrt (PI)) x))
4.0ms	x	@	inf	((* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau)) (* (/ (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (* (* x (PI)) tau)) (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* (PI) x)) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (* x (PI)) (PI)) (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (* (sqrt (PI)) x))
4.0ms	x	@	0	((* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau)) (* (/ (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (* (* x (PI)) tau)) (sin (* (* (sqrt (PI)) x) (* (sqrt (PI)) tau))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* (PI) x)) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (* (* x (PI)) (PI)) (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (* (sqrt (PI)) x))

simplify244.0ms (1.9%)

Memory

5.9MiB live, 360.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	421	8680
1	1444	8450
2	5549	8162
0	8477	7866

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 525

Calls

Call 1

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

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

rewrite189.0ms (1.5%)

Memory

43.6MiB live, 314.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	328
0	81	312
1	286	304
2	1817	298
0	8616	298

Stop Event

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

Counts

29 → 1 818

Calls

Call 1

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

Outputs
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eval1.5s (11.8%)

Memory: 25.7MiB live, 722.4MiB allocated
Compiler: Compiled 88 388 to 6 993 computations (92.1% saved)

prune388.0ms (3.1%)

Memory

-17.6MiB live, 453.0MiB allocated

Pruning

107 alts after pruning (102 fresh and 5 done)

	Pruned	Kept	Total
New	3 602	81	3 683
Fresh	23	21	44
Picked	2	3	5
Done	2	2	4
Total	3 629	107	3 736

Accuracy

99.8%

Counts

3 736 → 107

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)
	96.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)
	96.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (exp.f32 (log.f32 (PI.f32))))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)) x)
	96.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)
	96.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32)))) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)
✓	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)) x)
	69.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (*.f32 x (PI.f32))) (PI.f32))
	69.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (sqrt.f32 (PI.f32))) (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))))
	69.4%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x tau)) (.f32 (PI.f32) (PI.f32)))
	69.4%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (PI.f32))) (.f32 x (PI.f32)))
	69.5%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (neg.f32 tau)) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) x))
	69.5%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	69.4%	(/.f32 (/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)
	69.5%	(/.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 tau (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	61.9%	(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (sqrt.f32 (PI.f32))) (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))))
	61.8%	(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (*.f32 x (PI.f32)))
	61.8%	(/.f32 (/.f32 #s(approx (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)) x)
	69.5%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	61.8%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) tau) x)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 (neg.f32 (PI.f32)) x))
▶	98.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32))))
	69.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	69.5%	(/.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) x)
	69.4%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	69.4%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	69.5%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	69.2%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	69.4%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	69.4%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x))
	69.4%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
	69.3%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
	61.8%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (neg.f32 x) (.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (neg.f32 x))))
	69.5%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x))
	69.5%	(/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 tau (*.f32 (PI.f32) (PI.f32))) (neg.f32 x)))
	69.6%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
	61.8%	(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	61.8%	(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	98.0%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32)))))
	97.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) (PI.f32)) x))
	97.9%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
	91.0%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))) #s(literal -1 binary32))) x)
	62.7%	(/.f32 #s(approx (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
	69.7%	(/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
	97.3%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	61.7%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	61.9%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	61.8%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
	61.9%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
✓	61.8%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	62.7%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	97.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau)))
	97.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) x) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))) tau)))
	69.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32)) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))))
▶	69.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x tau))))
	69.5%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (PI.f32))) tau)))
	69.4%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (*.f32 x (PI.f32)))))
	61.8%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (*.f32 x (PI.f32)))))
	69.4%	(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32)))))
	69.4%	(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x))))
	69.4%	(/.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) x) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau))))
	69.4%	(.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) tau))
	61.9%	(.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
	96.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (neg.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (neg.f32 x) tau))))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	98.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
	69.5%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
	69.5%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
	69.5%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (neg.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
	69.3%	(.f32 (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
	94.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
	33.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	69.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	69.6%	(.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)))
▶	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))))) (.f32 (.f32 (neg.f32 (PI.f32)) x) x)))
✓	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	69.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
▶	69.4%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	69.4%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))))
	69.5%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	62.8%	(.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	61.9%	(.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
	69.5%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau))
	69.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 x (PI.f32)))) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (PI.f32))))
	97.3%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	69.4%	(.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))
	97.0%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau)))
	61.9%	(.f32 (.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))
	69.5%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 tau x))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
	69.5%	(.f32 #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) tau) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	62.8%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	69.6%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	69.4%	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 tau x)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
	69.4%	(neg.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) tau) x))))
	62.0%	#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	62.7%	#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	96.9%	#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))))
	51.2%	#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
▶	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
✓	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 063 to 2 739 computations (32.6% saved)

simplify111.0ms (0.9%)

Memory

12.3MiB live, 145.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (.f32 x (PI.f32)) tau)
cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff	0	(PI.f32)
cost-diff	0	(*.f32 (PI.f32) (PI.f32))
cost-diff	160	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x tau))))
cost-diff	192	(/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x tau)))
cost-diff	0	(*.f32 (neg.f32 x) tau)
cost-diff	0	(.f32 (.f32 (neg.f32 x) tau) (PI.f32))
cost-diff	0	#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))
cost-diff	320	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
cost-diff	0	(fma.f32 tau tau #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
cost-diff	0	(fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	420
0	94	420
1	191	420
2	467	418
3	1737	416
4	5288	416
0	8238	416

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (1%)

Memory

-0.3MiB live, 232.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3220113957206706	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.328125	(*.f32 tau (PI.f32))
accuracy	0.39195253907376804	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.4170112793053261	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x))
accuracy	0.3220113957206706	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.40234375	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x tau))))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	9.563419047054943	#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
accuracy	0.3220113957206706	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.403007519536884	(.f32 (.f32 (neg.f32 x) tau) (PI.f32))
accuracy	0.4342575195368841	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
accuracy	9.73754810113886	#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	7.115005169324269	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
accuracy	20.116098532885577	(fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
accuracy	27.098734424933983	(fma.f32 tau tau #s(literal 1 binary32))
accuracy	0.28515625	(*.f32 x (PI.f32))
accuracy	0.3220113957206706	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.3802337890737681	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32))))
accuracy	0.39195253907376804	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

Samples

93.0ms

256×

valid

Compiler

Compiled 739 to 87 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 33.0ms (44.3% of total)

ival-div: 16.0ms (21.5% of total)

ival-sin: 11.0ms (14.8% of total)

ival-sinu: 5.0ms (6.7% of total)

const: 4.0ms (5.4% of total)

ival-add: 2.0ms (2.7% of total)

ival-neg: 2.0ms (2.7% 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)

series56.0ms (0.4%)

Memory

-13.4MiB live, 100.0MiB allocated

Counts

25 → 456

Calls

Call 1

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

Outputs
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* tau (sin (* x (PI)))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (patch (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (patch (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 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))))))))))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (patch (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 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)))))))))))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (patch (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(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)))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (taylor 0 tau) (#s(alt (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow (PI) 2)) (taylor 0 tau) (#s(alt (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (patch (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (taylor 0 tau) (#s(alt (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (patch (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* tau (PI)) (taylor 0 tau) (#s(alt (.f32 tau (PI.f32)) (patch (.f32 tau (PI.f32)) #<representation binary32>) () ())) ())
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#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
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#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (taylor inf tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (patch (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (taylor inf tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (patch (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (taylor inf tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (patch (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) (taylor inf tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (patch (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* -1/6 (* (pow tau 2) (pow (PI) 2))) (taylor inf tau) (#s(alt (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (patch (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2)))) (taylor inf tau) (#s(alt (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (patch (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2)))) (taylor inf tau) (#s(alt (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (patch (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2)))) (taylor inf tau) (#s(alt (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (patch (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow tau 2) (taylor inf tau) (#s(alt (fma.f32 tau tau #s(literal 1 binary32)) (patch (fma.f32 tau tau #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow tau 2) (+ 1 (/ 1 (pow tau 2)))) (taylor inf tau) (#s(alt (fma.f32 tau tau #s(literal 1 binary32)) (patch (fma.f32 tau tau #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow tau 2) (+ 1 (/ 1 (pow tau 2)))) (taylor inf tau) (#s(alt (fma.f32 tau tau #s(literal 1 binary32)) (patch (fma.f32 tau tau #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow tau 2) (+ 1 (/ 1 (pow tau 2)))) (taylor inf tau) (#s(alt (fma.f32 tau tau #s(literal 1 binary32)) (patch (fma.f32 tau tau #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (patch (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (patch (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (patch (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (patch (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* tau (* x (PI)))) (taylor inf tau) (#s(alt (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (patch (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* tau (* x (PI)))) (taylor inf tau) (#s(alt (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (patch (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* tau (* x (PI)))) (taylor inf tau) (#s(alt (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (patch (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* tau (* x (PI)))) (taylor inf tau) (#s(alt (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (patch (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* tau x)) (taylor inf tau) (#s(alt (.f32 (neg.f32 x) tau) (patch (.f32 (neg.f32 x) tau) #<representation binary32>) () ())) ())
#s(alt (* -1 (* tau x)) (taylor inf tau) (#s(alt (.f32 (neg.f32 x) tau) (patch (.f32 (neg.f32 x) tau) #<representation binary32>) () ())) ())
#s(alt (* -1 (* tau x)) (taylor inf tau) (#s(alt (.f32 (neg.f32 x) tau) (patch (.f32 (neg.f32 x) tau) #<representation binary32>) () ())) ())
#s(alt (* -1 (* tau x)) (taylor inf tau) (#s(alt (.f32 (neg.f32 x) tau) (patch (.f32 (neg.f32 x) tau) #<representation binary32>) () ())) ())
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#s(alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) (taylor inf tau) (#s(alt (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x tau))) (patch (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x tau))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x tau)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x tau)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x tau)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x tau)))) #<representation binary32>) () ())) ())
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#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x tau)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x tau)))) #<representation binary32>) () ())) ())
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#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) x) (taylor -inf x) (#s(alt #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (patch #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) x) (taylor -inf x) (#s(alt #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (patch #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) x) (taylor -inf x) (#s(alt #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (patch #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) x) (taylor -inf x) (#s(alt #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (patch #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	tau	@	0	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (neg (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI)) (* (neg x) tau) (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (/ 1 (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau)))) (* (PI) (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (sin (* tau (* x (PI)))) (* x (PI)) (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) x) (* tau (PI)))
9.0ms	tau	@	-inf	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (neg (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI)) (* (neg x) tau) (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (/ 1 (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau)))) (* (PI) (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (sin (* tau (* x (PI)))) (* x (PI)) (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) x) (* tau (PI)))
5.0ms	x	@	-inf	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (neg (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI)) (* (neg x) tau) (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (/ 1 (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau)))) (* (PI) (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (sin (* tau (* x (PI)))) (* x (PI)) (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) x) (* tau (PI)))
5.0ms	tau	@	inf	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (neg (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI)) (* (neg x) tau) (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (/ 1 (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau)))) (* (PI) (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (sin (* tau (* x (PI)))) (* x (PI)) (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) x) (* tau (PI)))
4.0ms	x	@	inf	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (neg (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI)) (* (neg x) tau) (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (/ 1 (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau)))) (* (PI) (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (sin (* tau (* x (PI)))) (* x (PI)) (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) x) (* tau (PI)))

simplify197.0ms (1.6%)

Memory

25.8MiB live, 306.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	7546
1	1319	7210
2	5516	7207
0	8054	6917

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

rewrite154.0ms (1.2%)

Memory

6.6MiB live, 269.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	281
0	94	281
1	317	277
2	1835	269
0	8364	267

Stop Event

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

Counts

25 → 1 296

Calls

Call 1

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

Outputs
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eval299.0ms (2.4%)

Memory: 19.5MiB live, 713.0MiB allocated
Compiler: Compiled 66 509 to 6 335 computations (90.5% saved)

prune298.0ms (2.4%)

Memory

-4.2MiB live, 616.4MiB allocated

Pruning

182 alts after pruning (173 fresh and 9 done)

	Pruned	Kept	Total
New	2 675	94	2 769
Fresh	18	79	97
Picked	0	5	5
Done	1	4	5
Total	2 694	182	2 876

Accuracy

99.8%

Counts

2 876 → 182

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(/.f32 (/.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x) (PI.f32)) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32)))))
	69.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (neg.f32 (PI.f32))) (*.f32 (neg.f32 x) tau))
	69.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) x) (*.f32 tau (PI.f32)))
	96.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)
	96.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)
	96.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32)))) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)
✓	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)) x)
	69.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (*.f32 x (PI.f32))) (PI.f32))
	69.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (sqrt.f32 (PI.f32))) (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))))
	69.4%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x tau)) (.f32 (PI.f32) (PI.f32)))
	69.4%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (PI.f32))) (.f32 x (PI.f32)))
	69.5%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (neg.f32 tau)) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) x))
	69.5%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	69.4%	(/.f32 (/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)
	61.9%	(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (sqrt.f32 (PI.f32))) (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))))
	61.8%	(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (*.f32 x (PI.f32)))
	61.8%	(/.f32 (/.f32 #s(approx (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)) x)
	61.8%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	69.3%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))))
	69.4%	(/.f32 (.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) tau) (neg.f32 x)) (neg.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))))) (PI.f32))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
	69.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))
	69.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) tau) x)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 (neg.f32 (PI.f32)) x))
✓	98.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32))))
	69.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	69.3%	(/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))) (PI.f32))
	69.5%	(/.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) x)
	69.4%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	69.4%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	69.5%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	69.2%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	69.4%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	69.4%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x))
	69.4%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
	69.3%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
	61.8%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	69.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
	69.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (.f32 (.f32 tau x) (PI.f32)))
	69.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 tau x)))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (neg.f32 x) (.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (neg.f32 x))))
	69.5%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x))
	69.4%	(/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))
	69.5%	(/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 tau (*.f32 (PI.f32) (PI.f32))) (neg.f32 x)))
	69.6%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
	69.6%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32))))
	61.8%	(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	98.0%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32)))))
	97.9%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
	91.0%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))) #s(literal -1 binary32))) x)
	62.7%	(/.f32 #s(approx (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
	69.6%	(/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (/.f32 (.f32 (.f32 tau x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))))
	69.7%	(/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
	62.7%	(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 tau (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 x (PI.f32))))
	97.3%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	61.7%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	61.9%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	61.8%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
	61.9%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
✓	61.8%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	62.7%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	69.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)))
	97.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau)))
	69.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32))))
	97.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) x) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))) tau)))
	69.5%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))))
	69.5%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 x tau))))
	69.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))) (*.f32 x tau))))
	69.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (.f32 x tau))))
✓	69.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x tau))))
	61.8%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* x (PI)))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 x tau))))
	69.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau x) (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))))))
	69.4%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (*.f32 x (PI.f32)))))
	61.8%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (*.f32 x (PI.f32)))))
	69.3%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) tau) (neg.f32 x)) (neg.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32)))))))
	69.3%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))))))
	69.4%	(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x)))))
	69.4%	(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x))))
	69.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 x #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))))))
	69.3%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (neg.f32 tau) (PI.f32))))))
	69.4%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 tau x)))
	69.4%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 (.f32 tau x) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (PI.f32))))
	69.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x)) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))))
	69.5%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))))
	69.3%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) x) tau))
	69.3%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 x #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))) (PI.f32)))
	69.3%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (/.f32 tau (sin.f32 (.f32 (.f32 tau x) (PI.f32))))))
	69.4%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x)) (/.f32 #s(literal 1 binary32) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))))))
	69.1%	(/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))))))
	62.0%	(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (fma.f32 (.f32 (.f32 (.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32) #s(literal 1 binary32))))
	62.8%	(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))))
	69.4%	(/.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) x) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau))))
	69.4%	(.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) tau))
	61.9%	(.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
	96.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (neg.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (neg.f32 x) tau))))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	98.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
	69.6%	(.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)) (.f32 (neg.f32 x) tau)) (neg.f32 (sin.f32 (.f32 (*.f32 tau x) (PI.f32)))))
	69.3%	(.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) tau) (neg.f32 x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (PI.f32))))
	69.3%	(.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))))
	69.2%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (pow.f32 (PI.f32) #s(literal -2 binary32))))
	69.5%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
	69.3%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (neg.f32 (PI.f32))) (/.f32 (/.f32 #s(literal -1 binary32) x) tau))
	69.4%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) x) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
	69.5%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
	94.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
	33.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	69.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 x (PI.f32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (exp.f32 (log.f32 (PI.f32))))) (*.f32 x (PI.f32))))
✓	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	69.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	69.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	69.3%	(.f32 (/.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (neg.f32 tau) (PI.f32))))
	69.4%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32)))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
	69.4%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 tau x) (.f32 tau x))) (+.f32 #s(literal 0 binary32) (.f32 tau x))) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
	69.6%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	69.3%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) x)))))
✓	69.4%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	61.8%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))))
	69.4%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	69.6%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
	69.8%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau x)))
	69.5%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	62.8%	(.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	61.9%	(.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
	69.5%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau))
	69.4%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))))
	97.3%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	69.4%	(.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))
	69.5%	(.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	69.5%	(.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 tau x))))
	97.0%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau)))
	69.5%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 tau x))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
	69.5%	(.f32 #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (* (neg x) tau) (PI))) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) tau) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	62.8%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	69.6%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	69.4%	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 tau x)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
	69.5%	(neg.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (PI.f32)))))
	62.7%	#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	96.9%	#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))))
	62.0%	#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
	8.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
	7.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (neg.f32 (.f32 (-.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (fma.f32 (neg.f32 tau) tau #s(literal 1 binary32))) (.f32 x x) #s(literal 1 binary32)))
	9.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 tau tau #s(literal -1 binary32)) (.f32 (-.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x x) #s(literal 1 binary32)))
	61.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	61.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	61.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (fabs.f32 (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
✓	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	8.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	61.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) x)) x #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	61.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	59.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 x x)) #s(literal 1 binary32)))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
	55.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	61.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	52.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x (.f32 (.f32 (/.f32 (PI.f32) tau) x) (.f32 (/.f32 (PI.f32) tau) x)))) (*.f32 tau tau) #s(literal 1 binary32))))
	4.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))))
✓	62.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 8 340 to 3 282 computations (60.6% saved)

regimes288.0ms (2.3%)

Memory

3.1MiB live, 424.2MiB allocated

Counts

244 → 1

Calls

Call 1

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

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

Calls

4 calls:

73.0ms	tau
70.0ms	(*.f32 x (PI.f32))
69.0ms	(.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))))
63.0ms	x

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`tau`
98.1%	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))))`
98.1%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes293.0ms (2.3%)

Memory

-2.7MiB live, 362.2MiB allocated

Counts

189 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (fabs.f32 (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (*.f32 x (PI.f32)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (fma.f32 (.f32 (.f32 (.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (.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)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (*.f32 x (PI.f32)))))
(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)) x)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* x (PI)))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 x tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (sqrt.f32 (PI.f32))) (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x (.f32 (.f32 (/.f32 (PI.f32) tau) x) (.f32 (/.f32 (PI.f32) tau) x)))) (*.f32 tau tau) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(/.f32 #s(approx (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 tau (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) #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 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (.f32 (.f32 tau x) (PI.f32)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 tau x)))
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(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) x)))))
(.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (pow.f32 (PI.f32) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau x) (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (neg.f32 x) (.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (neg.f32 x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) (PI.f32)) x))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))

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

Calls

4 calls:

79.0ms	(*.f32 x (PI.f32))
69.0ms	x
53.0ms	tau
50.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(*.f32 x (PI.f32))`
98.0%	1	`tau`
98.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes317.0ms (2.5%)

Memory

11.4MiB live, 245.1MiB allocated

Counts

180 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (fabs.f32 (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (*.f32 x (PI.f32)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (fma.f32 (.f32 (.f32 (.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (.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)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (*.f32 x (PI.f32)))))
(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)) x)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* x (PI)))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 x tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
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(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (PI.f32))) tau)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))))
(/.f32 (.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 tau x) (.f32 tau x))) (+.f32 #s(literal 0 binary32) (.f32 tau x))) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 x #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32)))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (neg.f32 tau) (PI.f32))))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (sqrt.f32 (PI.f32))) (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (.f32 x tau))))
(/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))))))
(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 tau x)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 tau x))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) x)
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) x)))))
(.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (pow.f32 (PI.f32) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau x) (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (neg.f32 x) (.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (neg.f32 x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

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

Calls

4 calls:

111.0ms	tau
67.0ms	(*.f32 x (PI.f32))
62.0ms	x
52.0ms	(.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
98.0%	1	`x`
98.0%	1	`(*.f32 x (PI.f32))`
98.0%	1	`tau`
98.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes335.0ms (2.7%)

Memory

3.4MiB live, 244.3MiB allocated

Counts

179 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (fabs.f32 (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (*.f32 x (PI.f32)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (fma.f32 (.f32 (.f32 (.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32) #s(literal 1 binary32))))
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(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (/.f32 tau (sin.f32 (.f32 (.f32 tau x) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 x #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))) (PI.f32)))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) x) tau))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 (.f32 tau x) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 tau x)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 x tau))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (/.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x) (PI.f32)) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32)))))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (neg.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) x) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) tau) (neg.f32 x)) (neg.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x)) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (PI.f32))) tau)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))))
(/.f32 (.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 tau x) (.f32 tau x))) (+.f32 #s(literal 0 binary32) (.f32 tau x))) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 x #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32)))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (neg.f32 tau) (PI.f32))))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (sqrt.f32 (PI.f32))) (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (.f32 x tau))))
(/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))))))
(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 tau x)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 tau x))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) x)
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) x)))))
(.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (pow.f32 (PI.f32) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau x) (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (neg.f32 x) (.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (neg.f32 x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

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

Calls

4 calls:

102.0ms	tau
94.0ms	x
71.0ms	(*.f32 x (PI.f32))
61.0ms	(.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
97.9%	1	`x`
97.9%	1	`(*.f32 x (PI.f32))`
97.9%	1	`tau`
97.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes246.0ms (2%)

Memory

21.1MiB live, 338.2MiB allocated

Counts

175 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
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(.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 x (PI.f32)))) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (PI.f32))))
(.f32 (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) tau) (neg.f32 x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32)) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x))
(/.f32 (.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) tau) (neg.f32 x)) (neg.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))))) (PI.f32))
(.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))))
(/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))) (PI.f32))
(/.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 tau (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (*.f32 x (PI.f32))) (PI.f32))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (neg.f32 (PI.f32))) (/.f32 (/.f32 #s(literal -1 binary32) x) tau))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau x)) (/.f32 #s(literal 1 binary32) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(/.f32 (/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 tau tau #s(literal -1 binary32)) (.f32 (-.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (/.f32 tau (sin.f32 (.f32 (.f32 tau x) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 x #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))) (PI.f32)))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) x) tau))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 (.f32 tau x) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (*.f32 tau x)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 x tau))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (/.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x) (PI.f32)) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32)))))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (neg.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) x) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) tau) (neg.f32 x)) (neg.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x)) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (PI.f32))) tau)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))))
(/.f32 (.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 tau x) (.f32 tau x))) (+.f32 #s(literal 0 binary32) (.f32 tau x))) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 x #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 tau x) (PI.f32)))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (neg.f32 tau) (PI.f32))))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (sqrt.f32 (PI.f32))) (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (.f32 x tau))))
(/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))))))
(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 tau x)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 tau x))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) x)
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) x)))))
(.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (pow.f32 (PI.f32) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau x) (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (neg.f32 x) (.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (neg.f32 x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

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

Calls

4 calls:

71.0ms	(*.f32 x (PI.f32))
64.0ms	(.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))))
54.0ms	x
49.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes190.0ms (1.5%)

Memory

6.9MiB live, 320.7MiB allocated

Counts

172 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

47.0ms	x
45.0ms	(*.f32 x (PI.f32))
45.0ms	(.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))))
44.0ms	tau

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 26 to 18 computations (30.8% saved)

regimes345.0ms (2.8%)

Memory

-104.3MiB live, 325.2MiB allocated

Counts

170 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (fabs.f32 (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (*.f32 x (PI.f32)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (fma.f32 (.f32 (.f32 (.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (.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)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (*.f32 x (PI.f32)))))
(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)) x)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* x (PI)))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 x tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (sqrt.f32 (PI.f32))) (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x (.f32 (.f32 (/.f32 (PI.f32) tau) x) (.f32 (/.f32 (PI.f32) tau) x)))) (*.f32 tau tau) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(/.f32 #s(approx (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 tau (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) #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 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (.f32 (.f32 tau x) (PI.f32)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) tau))
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(/.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) x)
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) x)))))
(.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (pow.f32 (PI.f32) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau x) (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (neg.f32 x) (.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (neg.f32 x))))

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

Calls

4 calls:

201.0ms	x
47.0ms	(*.f32 x (PI.f32))
46.0ms	(.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))))
44.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes197.0ms (1.6%)

Memory

-26.9MiB live, 331.9MiB allocated

Counts

169 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (fabs.f32 (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (*.f32 x (PI.f32)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (fma.f32 (.f32 (.f32 (.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (.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)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (*.f32 x (PI.f32)))))
(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)) x)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* x (PI)))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 x tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (sqrt.f32 (PI.f32))) (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x (.f32 (.f32 (/.f32 (PI.f32) tau) x) (.f32 (/.f32 (PI.f32) tau) x)))) (*.f32 tau tau) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(/.f32 #s(approx (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 tau (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
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(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (.f32 x tau))))
(/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))))))
(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 tau x)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 tau x))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) x)
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) x)))))
(.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) tau) (.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (pow.f32 (PI.f32) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau x) (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (pow.f32 (PI.f32) #s(literal -2 binary32)))))

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

Calls

4 calls:

49.0ms	(*.f32 x (PI.f32))
49.0ms	(.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))))
45.0ms	x
43.0ms	tau

Results

Accuracy	Segments	Branch
69.8%	1	`x`
69.8%	1	`tau`
69.8%	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))))`
69.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes80.0ms (0.6%)

Memory

27.0MiB live, 145.4MiB allocated

Counts

72 → 1

Calls

Call 1

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

Outputs
(.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)))

Calls

4 calls:

20.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
19.0ms	(*.f32 x (PI.f32))
19.0ms	tau
18.0ms	x

Results

Accuracy	Segments	Branch
69.6%	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))))`
69.6%	1	`x`
69.6%	1	`(*.f32 x (PI.f32))`
69.6%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes76.0ms (0.6%)

Memory

-17.5MiB live, 144.9MiB allocated

Counts

62 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	(.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	(*.f32 x (PI.f32))
17.0ms	x
17.0ms	tau

Results

Accuracy	Segments	Branch
69.6%	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))))`
69.6%	1	`x`
69.6%	1	`tau`
69.6%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes129.0ms (1%)

Memory

13.3MiB live, 128.2MiB allocated

Counts

59 → 1

Calls

Call 1

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

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

Calls

4 calls:

78.0ms	x
17.0ms	(*.f32 x (PI.f32))
16.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
15.0ms	tau

Results

Accuracy	Segments	Branch
62.8%	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))))`
62.8%	1	`tau`
62.8%	1	`x`
62.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes67.0ms (0.5%)

Memory

-14.5MiB live, 143.4MiB 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) tau)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (fabs.f32 (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (*.f32 x (PI.f32)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI))))) (* x tau))) (fma.f32 (.f32 (.f32 (.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (.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)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (*.f32 x (PI.f32)))))
(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau)) x)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* x (PI)))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 x tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (fma.f32 (/.f32 (PI.f32) tau) (/.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (sqrt.f32 (PI.f32))) (.f32 (.f32 x (PI.f32)) (sqrt.f32 (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x (.f32 (.f32 (/.f32 (PI.f32) tau) x) (.f32 (/.f32 (PI.f32) tau) x)))) (*.f32 tau tau) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (* (PI) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) x) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(/.f32 #s(approx (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* x (PI)) (PI)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 tau (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.8%	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))))`
62.8%	1	`tau`
62.8%	1	`x`
62.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes78.0ms (0.6%)

Memory

20.8MiB live, 138.7MiB allocated

Counts

53 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.7%	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))))`
62.7%	1	`x`
62.7%	1	`tau`
62.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes88.0ms (0.7%)

Memory

-20.1MiB live, 134.9MiB allocated

Accuracy

Total -18.8b remaining (-154.1%)

Threshold costs -18.8b (-154.1%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	(*.f32 x (PI.f32))
17.0ms	x
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))))
12.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify71.0ms (0.6%)

Memory

3.2MiB live, 86.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	350
1	137	350
2	175	346
3	241	346
4	348	346
5	482	346
6	695	346
7	972	346
8	1194	346
9	1377	346
10	1502	346
11	1557	346
12	1572	346
13	1574	346

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.8s (14.4%)

Memory

43.8MiB live, 1 173.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	7546
1	1319	7210
2	5516	7207
0	8054	6917
0	196	1582
1	620	1562
2	2407	1538
3	4137	1538
4	4871	1538
5	5550	1538
6	5940	1538
7	5971	1538
8	5971	1538
0	8816	1486
0	401	7378
1	1343	7230
2	5164	7038
0	8736	6801
0	10	55
0	18	55
1	63	55
2	483	53
3	6485	53
0	8114	53
0	53	281
0	94	281
1	317	277
2	1835	269
0	8364	267
0	47	328
0	81	312
1	286	304
2	1817	298
0	8616	298

Stop Event

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

Compiler

Compiled 630 to 276 computations (56.2% saved)

preprocess119.0ms (0.9%)

Memory

-6.2MiB live, 198.6MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 1 418 to 566 computations (60.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze21.0ms (0.2%)

sample1.5s (12.2%)

explain350.0ms (2.8%)

preprocess70.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.2%)

localize35.0ms (0.3%)

series56.0ms (0.5%)

simplify250.0ms (2%)

rewrite158.0ms (1.3%)

eval158.0ms (1.3%)

prune96.0ms (0.8%)

simplify155.0ms (1.2%)

localize128.0ms (1%)

series52.0ms (0.4%)

simplify346.0ms (2.8%)

rewrite153.0ms (1.2%)

eval265.0ms (2.1%)

prune132.0ms (1.1%)

simplify97.0ms (0.8%)

localize151.0ms (1.2%)

series55.0ms (0.4%)

simplify244.0ms (1.9%)

rewrite189.0ms (1.5%)

eval1.5s (11.8%)

prune388.0ms (3.1%)

simplify111.0ms (0.9%)

localize128.0ms (1%)

series56.0ms (0.4%)

simplify197.0ms (1.6%)

rewrite154.0ms (1.2%)

eval299.0ms (2.4%)

prune298.0ms (2.4%)

regimes288.0ms (2.3%)

regimes293.0ms (2.3%)

regimes317.0ms (2.5%)

regimes335.0ms (2.7%)

regimes246.0ms (2%)

regimes190.0ms (1.5%)

regimes345.0ms (2.8%)

regimes197.0ms (1.6%)

regimes80.0ms (0.6%)

regimes76.0ms (0.6%)

regimes129.0ms (1%)

regimes67.0ms (0.5%)

regimes78.0ms (0.6%)

regimes88.0ms (0.7%)

simplify71.0ms (0.6%)

soundness1.8s (14.4%)

preprocess119.0ms (0.9%)

end0.0ms (0%)

Profiling