Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze42.0ms (0.4%)

Memory

-9.5MiB live, 30.0MiB 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)

sample2.1s (19.7%)

Memory

-268.8MiB live, 2 425.1MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 502.0ms (36.7% of total)

const: 273.0ms (20% of total)

ival-sinu: 163.0ms (11.9% of total)

ival-sin: 144.0ms (10.5% of total)

ival-div: 112.0ms (8.2% of total)

ival-<=: 99.0ms (7.2% of total)

ival-pi: 36.0ms (2.6% of total)

ival-and: 24.0ms (1.8% of total)

exact: 9.0ms (0.7% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain138.0ms (1.3%)

Memory

26.9MiB live, 310.1MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(PI.f32)`
0	-	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	-	`(.f32 (.f32 x (PI.f32)) tau)`
1	(0.7992757558822632 1.2472240924835205)	-	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	-	`(*.f32 x (PI.f32))`
0	-	-	`(sin.f32 (*.f32 x (PI.f32)))`
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	-	-	`tau`
0	-	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	-	`x`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	3
-	0	252

Precision

1.0

Recall

0.25

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	1	2
-	0	0	252

Precision?

1.0

Recall?

0.5

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms

512×

valid

Compiler

Compiled 211 to 44 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 10.0ms (27.9% of total)

ival-sin: 9.0ms (25.1% of total)

ival-sinu: 8.0ms (22.3% of total)

ival-div: 6.0ms (16.7% of total)

ival-pi: 2.0ms (5.6% of total)

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

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

preprocess125.0ms (1.2%)

Memory

-18.4MiB live, 97.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	123
1	88	123
2	415	107
3	2254	107
4	4738	107
5	6834	107
6	7826	107
0	10	21
0	18	21
1	31	21
2	88	21
3	296	21
4	699	21
5	1082	21
6	1115	21
7	1115	21
0	1115	21

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify21.0ms (0.2%)

Memory

2.8MiB live, 41.2MiB 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))

localize36.0ms (0.3%)

Memory

6.9MiB live, 81.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3046875	(*.f32 x (PI.f32))
accuracy	0.360038769536884	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.37521767039534126	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.3984375	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

27.0ms

256×

valid

Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions

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

ival-sin: 7.0ms (35.3% of total)

ival-mult: 5.0ms (25.2% of total)

ival-sinu: 4.0ms (20.2% of total)

ival-div: 3.0ms (15.1% of total)

ival-pi: 1.0ms (5% of total)

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

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

series36.0ms (0.3%)

Memory

9.3MiB live, 59.6MiB 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>) () ())) ())
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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
11.0ms	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)))
8.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
4.0ms	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)))

simplify230.0ms (2.2%)

Memory

-24.7MiB live, 290.3MiB 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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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)

rewrite132.0ms (1.3%)

Memory

13.2MiB live, 206.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	55
0	18	55
1	63	55
2	483	53
3	6530	53
0	8065	53

Stop Event

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

Counts

6 → 654

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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eval122.0ms (1.2%)

Memory: 4.2MiB live, 220.0MiB allocated
Compiler: Compiled 23 830 to 2 311 computations (90.3% saved)

prune84.0ms (0.8%)

Memory

-23.5MiB live, 215.6MiB allocated

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	956	37	993
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	957	37	994

Accuracy

99.7%

Counts

994 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (neg.f32 tau))
	96.0%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (.f32 (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) (cbrt.f32 (PI.f32))))
	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
▶	97.8%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))
	96.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.5%	(/.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))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	97.3%	(/.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)))
	97.7%	(/.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)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
▶	96.6%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))))
	96.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (cbrt.f32 (PI.f32)) x)))
▶	97.6%	(.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 (sin.f32 (*.f32 (PI.f32) x))))
	97.0%	(.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))))
	97.0%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (/.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 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (*.f32 x (PI.f32))))
	70.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	97.6%	(.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 (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))))
	97.0%	(.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))))
	62.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	63.7%	#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)))
	97.0%	#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))))
▶	62.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 592 to 912 computations (42.7% saved)

simplify118.0ms (1.1%)

Memory

9.0MiB live, 122.3MiB 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	160	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x))
cost-diff	192	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
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	0	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x))
cost-diff	128	(.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))))
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 x) (PI.f32)))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.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 (PI.f32) x))
cost-diff	192	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	332
0	75	328
1	167	326
2	455	326
3	2016	326
4	3912	326
5	6403	326
6	7205	326
7	7549	326
8	7820	326
9	7984	326
0	8007	326

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (1.1%)

Memory

8.0MiB live, 159.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.37521767039534126	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.38671875	(.f32 (PI.f32) (.f32 tau (PI.f32)))
accuracy	0.39453125	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x))
accuracy	0.4114837890737681	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
accuracy	0.31640625	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (neg.f32 (PI.f32)) x))
accuracy	0.37521767039534126	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.3984375	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4388275390737681	(.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))))
accuracy	0.360038769536884	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.37521767039534126	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.3984375	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32)))
accuracy	0.4537887695368841	(.f32 (.f32 tau x) (PI.f32))
accuracy	11.875081606240261	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.3046875	(*.f32 (PI.f32) x)
accuracy	0.32421875	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.37521767039534126	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.41443256837909415	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))

Samples

85.0ms

256×

valid

Compiler

Compiled 643 to 70 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 30.0ms (45.8% of total)

ival-mult: 20.0ms (30.5% of total)

ival-sin: 7.0ms (10.7% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series96.0ms (0.9%)

Memory

6.7MiB live, 56.0MiB allocated

Counts

20 → 432

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (* (PI) x) (* (* tau x) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (* tau (PI))))
4.0ms	tau	@	-inf	((/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (* (PI) x) (* (* tau x) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (* tau (PI))))
4.0ms	tau	@	inf	((/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (* (PI) x) (* (* tau x) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (* tau (PI))))
4.0ms	x	@	inf	((/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (* (PI) x) (* (* tau x) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (* tau (PI))))
3.0ms	tau	@	0	((/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (* (PI) x) (* (* tau x) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (* tau (PI))))

simplify256.0ms (2.4%)

Memory

16.6MiB live, 280.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	381	7094
1	1266	6930
2	4921	6744
0	8294	6520

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 430

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

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

rewrite170.0ms (1.6%)

Memory

-12.5MiB live, 226.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	241
0	75	235
1	270	235
2	1634	223
3	7204	223
0	8217	223

Stop Event

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

Counts

20 → 1 700

Calls

Call 1

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

Outputs
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eval329.0ms (3.1%)

Memory: 48.6MiB live, 531.5MiB allocated
Compiler: Compiled 68 129 to 3 875 computations (94.3% saved)

prune131.0ms (1.3%)

Memory

-26.7MiB live, 276.3MiB allocated

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	2 759	31	2 790
Fresh	20	12	32
Picked	2	3	5
Done	0	0	0
Total	2 781	46	2 827

Accuracy

99.8%

Counts

2 827 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) tau) (.f32 x (PI.f32)))
	96.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)) x)
	96.0%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (.f32 (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) (cbrt.f32 (PI.f32))))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (*.f32 (PI.f32) x)) (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)))))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (*.f32 x (PI.f32)) (PI.f32)))
	97.3%	(/.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)))
▶	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (*.f32 x (PI.f32)) tau))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
	97.1%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (/.f32 (.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	96.1%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) tau)) (cbrt.f32 (PI.f32))))
✓	96.6%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	70.1%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	62.7%	(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	63.4%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (PI.f32) x)) tau)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
▶	62.7%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	97.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) tau)))
	96.9%	(.f32 (/.f32 (/.f32 (sin.f32 (/.f32 (.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	97.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))))
	97.1%	(.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) (/.f32 #s(literal 1 binary32) x)))))
▶	96.9%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (PI.f32) tau)))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	96.5%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) x))
	96.9%	(.f32 (/.f32 (sin.f32 (/.f32 (.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) x))) (.f32 (.f32 tau x) (PI.f32))) (/.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 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (*.f32 x (PI.f32))))
	70.4%	(.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)))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))
✓	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.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 tau x) (PI.f32))) (.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
	70.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau)))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	63.6%	(.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))))
	96.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) tau) (PI.f32))) (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) x) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
	96.9%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x (PI.f32)) (PI.f32))))
▶	97.0%	(.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))))
▶	26.4%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	63.5%	(.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))))
	62.9%	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (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)))
	63.7%	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (PI) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	96.7%	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (PI) x)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x))))
	97.0%	#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))))
✓	62.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 888 to 1 193 computations (36.8% saved)

simplify77.0ms (0.7%)

Memory

9.2MiB live, 83.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (PI.f32) tau)))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
cost-diff	160	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 (PI.f32) tau))))
cost-diff	192	(/.f32 x (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 (PI.f32) tau)))
cost-diff	192	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (PI.f32) tau)))) (.f32 (neg.f32 (PI.f32)) x))
cost-diff	0	(.f32 tau (.f32 (PI.f32) x))
cost-diff	0	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
cost-diff	320	(.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))))
cost-diff	0	(.f32 (.f32 (*.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32))
cost-diff	0	(fma.f32 (.f32 (.f32 (*.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))
cost-diff	0	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (*.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x)))
cost-diff	0	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
cost-diff	0	(*.f32 (PI.f32) (PI.f32))
cost-diff	0	(.f32 (.f32 (PI.f32) (PI.f32)) tau)
cost-diff	0	#s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
cost-diff	0	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
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 (*.f32 x (PI.f32)) tau)))
cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (*.f32 x (PI.f32)) tau))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	465
0	103	459
1	218	455
2	595	451
3	2888	451
4	5918	451
0	8361	451

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

localize155.0ms (1.5%)

Memory

1.2MiB live, 230.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34375	(*.f32 (PI.f32) tau)
accuracy	0.37521767039534126	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.421875	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 (PI.f32) tau))))
accuracy	0.4388275390737681	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (PI.f32) tau)))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
accuracy	0.3203125	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau)))
accuracy	0.37521767039534126	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.390625	(.f32 (PI.f32) (.f32 (PI.f32) x))
accuracy	0.43197250976844204	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
accuracy	0.4388275390737681	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
accuracy	0.4921875	(/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x)
accuracy	6.547856372887413	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (*.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x)))
accuracy	16.866084079874458	(fma.f32 (.f32 (.f32 (*.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))
accuracy	0.38671875	(.f32 (PI.f32) (.f32 tau (PI.f32)))
accuracy	0.4114837890737681	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	11.585818826992083	#s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
accuracy	0.3046875	(*.f32 x (PI.f32))
accuracy	0.3584175293053261	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (*.f32 x (PI.f32)) tau))
accuracy	0.360038769536884	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.37521767039534126	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))

Samples

109.0ms

256×

valid

Compiler

Compiled 823 to 97 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 34.0ms (43.6% of total)

ival-div: 21.0ms (26.9% of total)

ival-sin: 7.0ms (9% of total)

ival-sinu: 5.0ms (6.4% of total)

const: 4.0ms (5.1% of total)

ival-neg: 4.0ms (5.1% of total)

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

ival-add: 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)

series69.0ms (0.7%)

Memory

-3.1MiB live, 112.5MiB allocated

Counts

27 → 516

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	tau	@	-inf	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (+ (* (* (* (* tau (PI)) tau) 1/6) x) (/ (/ -1 (PI)) x)) (* (* (* tau (PI)) tau) 1/6) (* (neg (sin (* tau (* (PI) x)))) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau)))) (neg (sin (* tau (* (PI) x)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (neg (PI)) x)) (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau))) (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (/ (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (sin (* (* x (PI)) tau)) (* x (PI)) (* (PI) (* tau (PI))) (/ (/ -1 (PI)) x) (* (PI) (* (PI) x)) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau))) (* (PI) tau))
8.0ms	tau	@	inf	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (+ (* (* (* (* tau (PI)) tau) 1/6) x) (/ (/ -1 (PI)) x)) (* (* (* tau (PI)) tau) 1/6) (* (neg (sin (* tau (* (PI) x)))) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau)))) (neg (sin (* tau (* (PI) x)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (neg (PI)) x)) (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau))) (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (/ (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (sin (* (* x (PI)) tau)) (* x (PI)) (* (PI) (* tau (PI))) (/ (/ -1 (PI)) x) (* (PI) (* (PI) x)) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau))) (* (PI) tau))
7.0ms	x	@	inf	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (+ (* (* (* (* tau (PI)) tau) 1/6) x) (/ (/ -1 (PI)) x)) (* (* (* tau (PI)) tau) 1/6) (* (neg (sin (* tau (* (PI) x)))) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau)))) (neg (sin (* tau (* (PI) x)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (neg (PI)) x)) (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau))) (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (/ (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (sin (* (* x (PI)) tau)) (* x (PI)) (* (PI) (* tau (PI))) (/ (/ -1 (PI)) x) (* (PI) (* (PI) x)) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau))) (* (PI) tau))
7.0ms	x	@	-inf	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (+ (* (* (* (* tau (PI)) tau) 1/6) x) (/ (/ -1 (PI)) x)) (* (* (* tau (PI)) tau) 1/6) (* (neg (sin (* tau (* (PI) x)))) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau)))) (neg (sin (* tau (* (PI) x)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (neg (PI)) x)) (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau))) (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (/ (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (sin (* (* x (PI)) tau)) (* x (PI)) (* (PI) (* tau (PI))) (/ (/ -1 (PI)) x) (* (PI) (* (PI) x)) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau))) (* (PI) tau))
6.0ms	tau	@	0	((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (* (PI) (PI)) tau) (* (PI) (PI)) (* (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (+ (* (* (* (* tau (PI)) tau) 1/6) x) (/ (/ -1 (PI)) x)) (* (* (* tau (PI)) tau) 1/6) (* (neg (sin (* tau (* (PI) x)))) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau)))) (neg (sin (* tau (* (PI) x)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (neg (PI)) x)) (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau))) (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (/ (/ 1 (/ x (/ (sin (* (* x (PI)) tau)) (* (PI) tau)))) (* (neg (PI)) x)) (neg (sin (* (PI) x)))) (sin (* (* x (PI)) tau)) (* x (PI)) (* (PI) (* tau (PI))) (/ (/ -1 (PI)) x) (* (PI) (* (PI) x)) (/ (/ (sin (* (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau))) (* (PI) tau))

simplify225.0ms (2.1%)

Memory

17.4MiB live, 208.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	513	8421
1	1725	8243
2	5457	8132
0	8052	7881

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

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

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

rewrite157.0ms (1.5%)

Memory

6.9MiB live, 194.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	352
0	103	342
1	347	338
2	2202	330
0	8528	330

Stop Event

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

Counts

27 → 1 374

Calls

Call 1

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

Outputs
#<batchref>
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eval228.0ms (2.2%)

Memory: 55.0MiB live, 381.3MiB allocated
Compiler: Compiled 51 103 to 3 902 computations (92.4% saved)

prune232.0ms (2.2%)

Memory

-12.0MiB live, 359.4MiB allocated

Pruning

78 alts after pruning (72 fresh and 6 done)

	Pruned	Kept	Total
New	2 011	51	2 062
Fresh	17	21	38
Picked	2	3	5
Done	0	3	3
Total	2 030	78	2 108

Accuracy

99.8%

Counts

2 108 → 78

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(/.f32 (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) (PI.f32)) tau)
	62.7%	(/.f32 (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) tau) (PI.f32))
	97.5%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) tau) (.f32 x (PI.f32)))
	96.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)) x)
	96.0%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (.f32 (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) (cbrt.f32 (PI.f32))))
	62.7%	(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) (*.f32 tau (PI.f32)))
	62.9%	(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) tau) (*.f32 (PI.f32) (PI.f32)))
	62.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	97.1%	(/.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (.f32 (*.f32 x (PI.f32)) tau))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (*.f32 x (PI.f32)) (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau))) (.f32 (.f32 x (PI.f32)) tau))
✓	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (*.f32 x (PI.f32)) tau))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
▶	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
	96.1%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) tau)) (cbrt.f32 (PI.f32))))
✓	96.6%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	70.1%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	96.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (.f32 (neg.f32 tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
	97.0%	(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) x) (.f32 tau (PI.f32))))
	70.4%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau))
	62.7%	(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	96.6%	(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau) x))
	63.7%	(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (.f32 tau (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 x (PI.f32)) tau))
▶	62.1%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	62.5%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (.f32 tau (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	62.7%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (.f32 (*.f32 tau (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
✓	62.7%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	97.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))) (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))))
	62.7%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) tau)))
	62.7%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (*.f32 tau (PI.f32)))))
	62.7%	(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) (PI.f32))))
▶	62.7%	(.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) tau) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	62.7%	(.f32 (/.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) (PI.f32)) (/.f32 #s(literal 1 binary32) tau))
	62.8%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)))
	97.0%	(.f32 (/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	97.4%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 tau (*.f32 (PI.f32) x))))
	96.5%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) x))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (*.f32 x (PI.f32))))
✓	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	70.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
▶	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) x) (.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	97.5%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	96.4%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	96.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) tau) (PI.f32))) (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) x) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
	96.8%	(.f32 (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (neg.f32 x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32)))) (.f32 (neg.f32 (PI.f32)) x))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	96.5%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau) x)))
	97.6%	(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) (.f32 tau (*.f32 (PI.f32) x)))))
	62.8%	(.f32 (neg.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32))))
	97.0%	(.f32 (neg.f32 (sin.f32 (/.f32 (.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau))))
	96.6%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))))
	96.5%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau) x)))
	70.2%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #s(approx (/ (/ (sin ( (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)) tau)))
	62.8%	(.f32 (neg.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	63.4%	(.f32 (neg.f32 #s(approx (sin ( tau (* (PI) x))) (.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))))
✓	26.0%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	27.2%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 (PI.f32)) x)))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	26.9%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	27.5%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x)))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	27.8%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 tau tau) (PI.f32)) (.f32 #s(literal 1/6 binary32) x) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	27.2%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 tau (.f32 (PI.f32) (.f32 #s(literal 1/6 binary32) tau))) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	26.8%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 tau (.f32 (PI.f32) x)) (.f32 #s(literal 1/6 binary32) tau) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	25.7%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 tau tau) (PI.f32))) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	63.5%	(.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))))
	63.6%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	78.2%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (.f32 (.f32 tau tau) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	4.8%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) #s(approx (+ (* (* (* (* tau (PI)) tau) 1/6) x) (/ (/ -1 (PI)) x)) (.f32 (.f32 (.f32 tau tau) x) (.f32 (PI.f32) #s(literal 1/6 binary32))))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	62.9%	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (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)))
	63.7%	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (PI) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	96.7%	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (PI) x)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x))))
▶	62.3%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
✓	62.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 932 to 1 960 computations (33.2% saved)

simplify145.0ms (1.4%)

Memory

-10.6MiB live, 175.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
cost-diff	128	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
cost-diff	0	(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
cost-diff	0	(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau)
cost-diff	0	#s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau))
cost-diff	0	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
cost-diff	0	(PI.f32)
cost-diff	0	(pow.f32 (PI.f32) #s(literal -2 binary32))
cost-diff	0	(/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) tau)
cost-diff	0	(.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) tau) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
cost-diff	0	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))
cost-diff	0	(fma.f32 tau tau #s(literal 1 binary32))
cost-diff	0	(fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
cost-diff	0	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
cost-diff	0	(*.f32 x tau)
cost-diff	0	(.f32 (.f32 x tau) (PI.f32))
cost-diff	0	(sin.f32 (.f32 (.f32 x tau) (PI.f32)))
cost-diff	192	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	387
0	107	385
1	216	377
2	544	377
3	2349	377
4	4243	377
5	7617	377
0	8094	377

Stop Event

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

Calls

Call 1

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

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

localize267.0ms (2.5%)

Memory

8.1MiB live, 258.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34212875976844204	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
accuracy	0.3708000488422101	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
accuracy	0.37521767039534126	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4889450195368841	(.f32 (.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x))
accuracy	0.38671875	(.f32 (PI.f32) (.f32 tau (PI.f32)))
accuracy	0.4114837890737681	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
accuracy	1.0	(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
accuracy	11.585818826992083	#s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau))
accuracy	0.4889450195368841	(.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) tau) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
accuracy	1.0	(pow.f32 (PI.f32) #s(literal -2 binary32))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	11.585818826992083	#s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	7.165617149190054	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
accuracy	20.011934561717535	(fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
accuracy	26.430296655951658	(fma.f32 tau tau #s(literal 1 binary32))
accuracy	0.37521767039534126	(sin.f32 (.f32 (.f32 x tau) (PI.f32)))
accuracy	0.3984375	(/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))
accuracy	0.4537887695368841	(.f32 (.f32 x tau) (PI.f32))
accuracy	0.4537887695368841	(.f32 (.f32 tau x) (PI.f32))

Samples

218.0ms

256×

valid

Compiler

Compiled 648 to 102 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 116.0ms (58.4% of total)

ival-sinu: 28.0ms (14.1% of total)

ival-sin: 22.0ms (11.1% of total)

ival-div: 16.0ms (8% of total)

ival-pow: 5.0ms (2.5% of total)

const: 4.0ms (2% of total)

ival-add: 3.0ms (1.5% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series74.0ms (0.7%)

Memory

-9.6MiB live, 65.3MiB allocated

Counts

26 → 456

Calls

Call 1

Inputs
#s(alt (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (patch (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 x tau) (PI.f32)) (patch (.f32 (.f32 x tau) (PI.f32)) #<representation binary32>) () ())
#s(alt (.f32 x tau) (patch (.f32 x tau) #<representation binary32>) () ())
#s(alt #s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (patch #s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 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(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (patch (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) tau) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))) (patch (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) tau) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))) #<representation binary32>) () ())
#s(alt (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) tau) (patch (/.f32 (pow.f32 (PI.f32) #s(literal -2 binary32)) tau) #<representation binary32>) () ())
#s(alt (pow.f32 (PI.f32) #s(literal -2 binary32)) (patch (pow.f32 (PI.f32) #s(literal -2 binary32)) #<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 x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32)))) (patch (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau)) (.f32 (PI.f32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())
#s(alt #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau)) (patch #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau)) #<representation binary32>) () ())
#s(alt (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau) (patch (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau) #<representation binary32>) () ())
#s(alt (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) (patch (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) #<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 (.f32 tau x) (PI.f32)) (patch (.f32 (.f32 tau x) (PI.f32)) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (patch (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) (PI.f32)) (patch (.f32 (PI.f32) (PI.f32)) #<representation binary32>) () ())
#s(alt #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (patch #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) (.f32 tau (PI.f32))) (patch (.f32 (PI.f32) (.f32 tau (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)) (patch (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)) #<representation binary32>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	tau	@	-inf	((* (/ (sin (* (* x tau) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (+ (* (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI)))) 1) (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI))) (* (/ (pow (PI) -2) tau) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x))) (/ (pow (PI) -2) tau) (pow (PI) -2) (PI) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (pow (cbrt (PI)) 6) tau) (pow (cbrt (PI)) 6) (/ (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (* (neg (PI)) x))) (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) tau) (sin (* tau (* (PI) x))) (* (* tau x) (PI)) (/ (sin (* (* x tau) (PI))) (* (* tau x) (PI))) (* (PI) (PI)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI))) (* (* (PI) x) (* (neg (PI)) x)))
4.0ms	x	@	-inf	((* (/ (sin (* (* x tau) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (+ (* (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI)))) 1) (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI))) (* (/ (pow (PI) -2) tau) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x))) (/ (pow (PI) -2) tau) (pow (PI) -2) (PI) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (pow (cbrt (PI)) 6) tau) (pow (cbrt (PI)) 6) (/ (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (* (neg (PI)) x))) (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) tau) (sin (* tau (* (PI) x))) (* (* tau x) (PI)) (/ (sin (* (* x tau) (PI))) (* (* tau x) (PI))) (* (PI) (PI)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI))) (* (* (PI) x) (* (neg (PI)) x)))
4.0ms	x	@	inf	((* (/ (sin (* (* x tau) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (+ (* (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI)))) 1) (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI))) (* (/ (pow (PI) -2) tau) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x))) (/ (pow (PI) -2) tau) (pow (PI) -2) (PI) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (pow (cbrt (PI)) 6) tau) (pow (cbrt (PI)) 6) (/ (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (* (neg (PI)) x))) (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) tau) (sin (* tau (* (PI) x))) (* (* tau x) (PI)) (/ (sin (* (* x tau) (PI))) (* (* tau x) (PI))) (* (PI) (PI)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI))) (* (* (PI) x) (* (neg (PI)) x)))
4.0ms	tau	@	inf	((* (/ (sin (* (* x tau) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (+ (* (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI)))) 1) (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI))) (* (/ (pow (PI) -2) tau) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x))) (/ (pow (PI) -2) tau) (pow (PI) -2) (PI) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (pow (cbrt (PI)) 6) tau) (pow (cbrt (PI)) 6) (/ (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (* (neg (PI)) x))) (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) tau) (sin (* tau (* (PI) x))) (* (* tau x) (PI)) (/ (sin (* (* x tau) (PI))) (* (* tau x) (PI))) (* (PI) (PI)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI))) (* (* (PI) x) (* (neg (PI)) x)))
4.0ms	x	@	0	((* (/ (sin (* (* x tau) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (+ (* (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI)))) 1) (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI))) (* (/ (pow (PI) -2) tau) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x))) (/ (pow (PI) -2) tau) (pow (PI) -2) (PI) (/ (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI)))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (pow (cbrt (PI)) 6) tau) (pow (cbrt (PI)) 6) (/ (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (* (* (PI) x) (* (neg (PI)) x))) (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (/ (sin (* tau (* (PI) x))) tau) (sin (* tau (* (PI) x))) (* (* tau x) (PI)) (/ (sin (* (* x tau) (PI))) (* (* tau x) (PI))) (* (PI) (PI)) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (* (PI) (* tau (PI))) (* (* (PI) x) (* (neg (PI)) x)))

simplify555.0ms (5.3%)

Memory

-88.9MiB live, 278.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	7468
1	1230	7153
2	4948	6907
0	8229	6662

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

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

rewrite195.0ms (1.9%)

Memory

25.6MiB live, 255.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	309
0	107	297
1	341	281
2	1937	281
0	8583	281

Stop Event

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

Counts

26 → 1 286

Calls

Call 1

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

Outputs
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eval239.0ms (2.3%)

Memory: 23.5MiB live, 475.1MiB allocated
Compiler: Compiled 53 317 to 5 133 computations (90.4% saved)

prune280.0ms (2.7%)

Memory

-9.0MiB live, 399.2MiB allocated

Pruning

120 alts after pruning (113 fresh and 7 done)

	Pruned	Kept	Total
New	2 317	61	2 378
Fresh	15	52	67
Picked	4	1	5
Done	0	6	6
Total	2 336	120	2 456

Accuracy

99.8%

Counts

2 456 → 120

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(/.f32 (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) tau) (PI.f32))) (PI.f32)) (PI.f32)) tau)
	97.1%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) tau) (.f32 (PI.f32) x))
	96.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 (PI.f32) tau) (PI.f32)) x)) x)
	62.7%	(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) (*.f32 tau (PI.f32)))
	62.7%	(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) tau) (PI.f32))) tau) (*.f32 (PI.f32) (PI.f32)))
	97.1%	(/.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (.f32 (*.f32 x (PI.f32)) tau))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau))) (.f32 (.f32 x (PI.f32)) tau))
✓	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (*.f32 x (PI.f32)) tau))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	96.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)))
	96.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) x) (.f32 (neg.f32 (PI.f32)) x)))
✓	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
	96.1%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) tau)) (cbrt.f32 (PI.f32))))
✓	96.6%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	70.1%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (.f32 (neg.f32 (PI.f32)) x)))
	96.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (.f32 (neg.f32 tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x)))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
	97.0%	(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) x) (.f32 tau (PI.f32))))
	70.4%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau))
	62.7%	(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	97.5%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (/.f32 (.f32 (.f32 tau x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x)))
	96.6%	(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau) x))
	62.7%	(/.f32 (neg.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) tau) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) tau))
	63.7%	(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (.f32 tau (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 x (PI.f32)) tau))
	62.5%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (neg.f32 x))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)))
	62.6%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))))) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	62.1%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) tau)) (.f32 (*.f32 (PI.f32) (PI.f32)) tau))
	62.5%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (.f32 (PI.f32) tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	62.7%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (.f32 (*.f32 tau (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
✓	62.7%	(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	62.8%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) tau) (PI.f32))) (PI.f32)) tau)))
	62.7%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (*.f32 tau (PI.f32)))))
	62.7%	(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) tau) (PI.f32))) (PI.f32)) (PI.f32))))
	62.7%	(/.f32 #s(literal -1 binary32) (.f32 (neg.f32 tau) (/.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) tau) (PI.f32))))))
	62.5%	(.f32 (/.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal -4 binary32)) tau) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	62.7%	(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (PI.f32)) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	97.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) x)))
	62.7%	(.f32 (/.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) (PI.f32)) (/.f32 #s(literal 1 binary32) tau))
	62.7%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) tau) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	62.7%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (PI.f32) tau)) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	62.8%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)))
	62.7%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (PI.f32) (PI.f32))) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	97.0%	(.f32 (/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	97.4%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 tau (*.f32 (PI.f32) x))))
	96.5%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) x))
✓	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	70.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	94.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 3 binary32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (exp.f32 (log.f32 (PI.f32))))) (*.f32 x (PI.f32))))
	95.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 8 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32)))))))
	97.2%	(.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))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 tau x)))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) x) (.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	97.5%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	96.4%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	62.7%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) tau))) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	62.7%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	62.7%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau))) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	96.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) tau) (PI.f32))) (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) x) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
	62.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) tau) (PI.f32))) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	96.8%	(.f32 (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (neg.f32 x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32)))) (.f32 (neg.f32 (PI.f32)) x))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	62.7%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (PI.f32))) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	96.5%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau) x)))
	97.6%	(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) (.f32 tau (*.f32 (PI.f32) x)))))
	62.8%	(.f32 (neg.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32))))
	97.0%	(.f32 (neg.f32 (sin.f32 (/.f32 (.f32 tau (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau))))
	96.6%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) x))))
	96.5%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau) x)))
	70.2%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #s(approx (/ (/ (sin ( (PI) x)) x) (* (* (PI) (* (PI) x)) (neg tau))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)) tau)))
	63.4%	(.f32 (neg.f32 #s(approx (sin ( tau (* (PI) x))) (.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))))
✓	26.6%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	26.7%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 (PI.f32)) x)))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	26.8%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	27.0%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 (.f32 tau (PI.f32)) tau) #s(literal 1/6 binary32)) x (.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x)))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	26.7%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 (.f32 tau tau) (PI.f32)) (.f32 #s(literal 1/6 binary32) x) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	26.7%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 tau (.f32 (PI.f32) (.f32 #s(literal 1/6 binary32) tau))) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	25.9%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 tau (.f32 (PI.f32) x)) (.f32 #s(literal 1/6 binary32) tau) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	26.4%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 tau tau) (PI.f32))) x (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	63.5%	(.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))))
	63.6%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) x))))
	78.2%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (.f32 (.f32 tau tau) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	4.8%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (neg (PI)) x)) #s(approx (+ (* (* (* (* tau (PI)) tau) 1/6) x) (/ (/ -1 (PI)) x)) (.f32 (.f32 (.f32 tau tau) x) (.f32 (PI.f32) #s(literal 1/6 binary32))))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	62.9%	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (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)))
	63.7%	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (PI) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	96.7%	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (PI) x)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x))))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
	6.8%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) x)) x) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (fabs.f32 (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
	5.4%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (exp.f32 (log.f32 (PI.f32))) (PI.f32))) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (fabs.f32 (PI.f32)))) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) #s(literal 1 binary32)))
	59.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	62.6%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	57.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (PI.f32) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	6.4%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 1 binary32)))
	7.2%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
	50.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 x x)) (PI.f32)) (PI.f32) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
	46.7%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 x x)) #s(literal 1 binary32)))
	37.5%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	6.7%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
	41.6%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (+.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))
	62.9%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI)))) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
	4.7%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI)))) 1) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal -1/6 binary32)) x) x)))
	5.0%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI)))) 1) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)))))
	97.0%	#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))))
✓	62.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 5 725 to 2 187 computations (61.8% saved)

regimes318.0ms (3%)

Memory

26.2MiB live, 411.0MiB allocated

Counts

181 → 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))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI)))) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 #s(approx (+ (* tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI)))) 1) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal -1/6 binary32)) x) x)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) #s(approx (+ (* (+ (* tau tau) 1) (* (* -1/6 (* x x)) (* (PI) (PI)))) 1) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (PI.f32) (.f32 tau (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)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 x x)) (PI.f32)) (PI.f32) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (PI.f32) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) x)) x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (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))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (fabs.f32 (PI.f32)))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (fabs.f32 (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
(/.f32 (neg.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) tau) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) tau))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) tau) (PI.f32))) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) tau) (PI.f32))) tau) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) tau) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) (*.f32 tau (PI.f32)))
(.f32 (neg.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (PI.f32) (PI.f32))) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (PI.f32) tau)) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) tau) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
(/.f32 (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) tau) (PI.f32))) (PI.f32)) (PI.f32)) tau)
(/.f32 (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) tau) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) (PI.f32)) tau)
(.f32 (neg.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32))))
(/.f32 #s(literal -1 binary32) (.f32 (neg.f32 tau) (/.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) tau) (PI.f32))))))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) tau) (neg (sin (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (neg.f32 x))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)))
(.f32 (/.f32 (/.f32 #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) (PI.f32)) (/.f32 #s(literal 1 binary32) tau))
(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (PI.f32)) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (*.f32 tau (PI.f32)))))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
(.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (PI.f32))) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) tau))) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))) (.f32 (PI.f32) (.f32 tau (PI.f32))))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) tau) (PI.f32))) (PI.f32)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) tau) (PI.f32))) (PI.f32)) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (PI.f32)) tau)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 (.f32 (*.f32 tau (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (.f32 tau (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (.f32 (PI.f32) tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau))) #s(approx ( (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
(/.f32 #s(approx (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 x)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))))) (.f32 (PI.f32) (.f32 tau (PI.f32))))
#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 (* tau (* (PI) x))) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* (PI) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (+.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))
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#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* (* x (PI)) tau))) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
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(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (/.f32 (.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) x) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (exp.f32 (log.f32 (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 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau 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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (cbrt.f32 (PI.f32)) x)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (.f32 (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) (cbrt.f32 (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) x)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) tau)) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 3 binary32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 8 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32)))))))

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

Calls

4 calls:

109.0ms	(.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))))
87.0ms	x
65.0ms	tau
50.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes242.0ms (2.3%)

Memory

1.1MiB live, 354.4MiB allocated

Counts

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

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

Calls

4 calls:

70.0ms	(*.f32 x (PI.f32))
67.0ms	(.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))))
58.0ms	tau
41.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes157.0ms (1.5%)

Memory

-0.9MiB live, 286.2MiB allocated

Counts

118 → 1

Calls

Call 1

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

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

Calls

4 calls:

43.0ms	tau
38.0ms	(*.f32 x (PI.f32))
36.0ms	(.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))))
35.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes135.0ms (1.3%)

Memory

23.1MiB live, 216.5MiB allocated

Counts

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

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

Calls

4 calls:

37.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
31.0ms	(*.f32 x (PI.f32))
31.0ms	x
30.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes111.0ms (1.1%)

Memory

-15.8MiB live, 187.6MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

29.0ms	tau
28.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
26.0ms	x
24.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
78.2%	1	`x`
78.2%	1	`(*.f32 x (PI.f32))`
78.2%	1	`tau`
78.2%	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)

regimes147.0ms (1.4%)

Memory

2.5MiB live, 167.5MiB allocated

Counts

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

46.0ms	tau
42.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
31.0ms	x
24.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
70.4%	1	`x`
70.4%	1	`(*.f32 x (PI.f32))`
70.4%	1	`tau`
70.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes87.0ms (0.8%)

Memory

-14.2MiB live, 181.4MiB allocated

Counts

74 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	(*.f32 x (PI.f32))
22.0ms	x
20.0ms	tau
19.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
70.1%	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))))`
70.1%	1	`x`
70.1%	1	`tau`
70.1%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes110.0ms (1%)

Memory

27.3MiB live, 144.4MiB allocated

Counts

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

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

Calls

4 calls:

38.0ms	(*.f32 x (PI.f32))
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))))
19.0ms	x
18.0ms	tau

Results

Accuracy	Segments	Branch
64.2%	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))))`
64.2%	1	`tau`
64.2%	1	`x`
64.2%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes96.0ms (0.9%)

Memory

-20.6MiB live, 138.8MiB allocated

Counts

65 → 1

Calls

Call 1

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

38.0ms	x
19.0ms	(*.f32 x (PI.f32))
18.0ms	tau
17.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
63.7%	1	`x`
63.7%	1	`(*.f32 x (PI.f32))`
63.7%	1	`tau`
63.7%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes128.0ms (1.2%)

Memory

13.4MiB live, 126.7MiB allocated

Accuracy

Total -19.0b remaining (-160.2%)

Threshold costs -19b (-160.2%)

Counts

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

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

Calls

4 calls:

76.0ms	tau
17.0ms	x
17.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
15.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
62.9%	1	`tau`
62.9%	1	`x`
62.9%	1	`(*.f32 x (PI.f32))`
62.9%	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)

simplify96.0ms (0.9%)

Memory

-37.4MiB live, 35.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	258
1	146	258
2	306	258
3	890	258
4	1789	258
5	2335	258
6	5399	258

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.6s (15.5%)

Memory

13.6MiB live, 1 005.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	8421
1	1725	8243
2	5457	8132
0	8052	7881
0	10	55
0	18	55
1	63	55
2	483	53
3	6530	53
0	8065	53
0	381	7094
1	1266	6930
2	4921	6744
0	8294	6520
0	63	309
0	107	297
1	341	281
2	1937	281
0	8583	281
0	59	352
0	103	342
1	347	338
2	2202	330
0	8528	330
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	42	241
0	75	235
1	270	235
2	1634	223
3	7204	223
0	8217	223

Stop Event

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

Compiler

Compiled 551 to 237 computations (57% saved)

preprocess99.0ms (0.9%)

Memory

-6.7MiB live, 145.9MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 1 206 to 516 computations (57.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze42.0ms (0.4%)

sample2.1s (19.7%)

explain138.0ms (1.3%)

preprocess125.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.2%)

localize36.0ms (0.3%)

series36.0ms (0.3%)

simplify230.0ms (2.2%)

rewrite132.0ms (1.3%)

eval122.0ms (1.2%)

prune84.0ms (0.8%)

simplify118.0ms (1.1%)

localize116.0ms (1.1%)

series96.0ms (0.9%)

simplify256.0ms (2.4%)

rewrite170.0ms (1.6%)

eval329.0ms (3.1%)

prune131.0ms (1.3%)

simplify77.0ms (0.7%)

localize155.0ms (1.5%)

series69.0ms (0.7%)

simplify225.0ms (2.1%)

rewrite157.0ms (1.5%)

eval228.0ms (2.2%)

prune232.0ms (2.2%)

simplify145.0ms (1.4%)

localize267.0ms (2.5%)

series74.0ms (0.7%)

simplify555.0ms (5.3%)

rewrite195.0ms (1.9%)

eval239.0ms (2.3%)

prune280.0ms (2.7%)

regimes318.0ms (3%)

regimes242.0ms (2.3%)

regimes157.0ms (1.5%)

regimes135.0ms (1.3%)

regimes111.0ms (1.1%)

regimes147.0ms (1.4%)

regimes87.0ms (0.8%)

regimes110.0ms (1%)

regimes96.0ms (0.9%)

regimes128.0ms (1.2%)

simplify96.0ms (0.9%)

soundness1.6s (15.5%)

preprocess99.0ms (0.9%)

end0.0ms (0%)

Profiling