Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze28.0ms (0.3%)

Memory

-0.8MiB live, 38.7MiB 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 (18.3%)

Memory

-229.0MiB live, 2 686.7MiB allocated

Samples

1.6s

8 256×

valid

Precisions

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

ival-mult: 348.0ms (25.2% of total)

ival-<=: 211.0ms (15.3% of total)

ival-div: 187.0ms (13.6% of total)

const: 160.0ms (11.6% of total)

ival-sinu: 139.0ms (10.1% of total)

ival-sin: 128.0ms (9.3% of total)

ival-pi: 105.0ms (7.6% of total)

ival-and: 88.0ms (6.4% of total)

exact: 9.0ms (0.7% of total)

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

Bogosity

explain125.0ms (1.1%)

Memory

-2.9MiB live, 234.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
3	-	3	(0.46346232295036316 2.165358781814575)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
1	-	1	(0.9853898286819458 4.534402370452881)	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	4
-	0	252

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

1.0

Recall?

0.25

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms

512×

valid

Compiler

Compiled 211 to 44 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 11.0ms (31.4% of total)

ival-sinu: 8.0ms (22.8% of total)

ival-sin: 7.0ms (20% of total)

ival-div: 6.0ms (17.1% of total)

ival-pi: 2.0ms (5.7% of total)

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

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

preprocess78.0ms (0.7%)

Memory

-25.2MiB live, 52.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify19.0ms (0.2%)

Memory

32.5MiB live, 32.5MiB 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))

localize44.0ms (0.4%)

Memory

-22.0MiB live, 55.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3203125	(*.f32 x (PI.f32))
accuracy	0.395195019536884	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.40367128907376815	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.40398125179602573	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))

Samples

35.0ms

256×

valid

Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sinu: 15.0ms (53.4% of total)

ival-mult: 5.0ms (17.8% of total)

ival-sin: 4.0ms (14.2% of total)

ival-div: 3.0ms (10.7% of total)

ival-pi: 1.0ms (3.6% of total)

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

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

series48.0ms (0.4%)

Memory

9.7MiB live, 49.8MiB 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
26.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
5.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
4.0ms	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)))

simplify291.0ms (2.6%)

Memory

-6.5MiB live, 201.7MiB 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))))
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(/ (sin (* tau (* x (PI)))) (* 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))))))))
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(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(fma.f32 (.f32 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)

rewrite137.0ms (1.2%)

Memory

-3.0MiB live, 193.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

6 → 670

Calls

Call 1

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

Outputs
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eval90.0ms (0.8%)

Memory: 25.8MiB live, 221.5MiB allocated
Compiler: Compiled 24 307 to 2 341 computations (90.4% saved)

prune135.0ms (1.2%)

Memory

-17.4MiB live, 263.8MiB allocated

Pruning

47 alts after pruning (46 fresh and 1 done)

	Pruned	Kept	Total
New	967	46	1 013
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	967	47	1 014

Accuracy

99.5%

Counts

1 014 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	97.0%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) (.f32 tau x))
▶	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	96.0%	(/.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))))
	97.5%	(/.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))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
▶	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.3%	(/.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)))
	97.0%	(/.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
	97.0%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (neg.f32 (PI.f32)) x)))
	96.7%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (.f32 (neg.f32 (PI.f32)) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
	97.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
	97.1%	(.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)))
	96.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
▶	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.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))))
	95.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x)))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
	95.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))) (.f32 x (PI.f32))))
	96.9%	(.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))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))
✓	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))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1 binary32))))
	70.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.9%	(.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))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) tau)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.3%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	96.8%	(.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))))
	62.2%	#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)))
	63.0%	#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)))
	96.9%	#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))))
▶	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 101 to 1 212 computations (42.3% saved)

simplify136.0ms (1.2%)

Memory

9.4MiB live, 85.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	333
0	64	329
1	142	329
2	368	329
3	1225	329
4	2737	329
5	2866	329
6	2866	329
7	4166	329
8	4166	329
9	4301	329
10	4301	329
11	5347	329
12	5347	329
13	5347	329
14	5435	329
0	5435	329

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize120.0ms (1.1%)

Memory

15.5MiB live, 170.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.37890625	(*.f32 (sqrt.f32 (PI.f32)) x)
accuracy	0.40398125179602573	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.43978500976844204	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x))
accuracy	0.48666000976844204	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
accuracy	0.3203125	(*.f32 x (PI.f32))
accuracy	0.37890625	(*.f32 tau (PI.f32))
accuracy	0.40367128907376815	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.40398125179602573	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.33984375	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
accuracy	0.35546875	(.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy	0.40398125179602573	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.40824130861065216	(/.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)))
accuracy	12.098738514324983	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.3203125	(*.f32 (PI.f32) x)
accuracy	0.35546875	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
accuracy	0.40367128907376815	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
accuracy	0.40398125179602573	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))

Samples

92.0ms

256×

valid

Compiler

Compiled 645 to 62 computations (90.4% saved)

Precisions

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

ival-mult: 44.0ms (57.2% of total)

ival-div: 19.0ms (24.7% of total)

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

ival-sinu: 5.0ms (6.5% of total)

ival-sqrt: 2.0ms (2.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series77.0ms (0.7%)

Memory

-16.9MiB live, 92.7MiB allocated

Counts

20 → 384

Calls

Call 1

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

Outputs
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (patch (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (patch (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (patch (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (patch (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.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>) () ())) ())
#s(alt (* tau (* (PI) (sin (* x (PI))))) (taylor 0 tau) (#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 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI)))))) (taylor 0 tau) (#s(alt (.f32 (/.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 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI))))))))))) (taylor 0 tau) (#s(alt (.f32 (/.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 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))) (taylor 0 tau) (#s(alt (.f32 (/.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 1 (taylor 0 tau) (#s(alt (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) (patch (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (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 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) (patch (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (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 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) (patch (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (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 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) (patch (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) #<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>) () ())) ())
#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 (* 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 (/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))) (patch (/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (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)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))) (patch (/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (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)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))) (patch (/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (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)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))) (patch (/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (sin (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (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 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (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 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (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 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (* (pow tau 2) (* x (sin (* x (PI))))) (sqrt (pow (PI) 3)))) (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) #<representation binary32>) () ())) ())
#s(alt (+ (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* x (sin (* x (PI)))) (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 2) (* (pow x 3) (sin (* x (PI))))) (sqrt (pow (PI) 7))))))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) #<representation binary32>) () ())) ())
#s(alt (+ (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* x (sin (* x (PI)))) (sqrt (pow (PI) 3)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (* (pow x 5) (sin (* x (PI))))) (sqrt (pow (PI) 11)))) (* 1/120 (* (* (pow x 3) (sin (* x (PI)))) (sqrt (pow (PI) 7))))))))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))) (patch (/.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))) #<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 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))) (patch (/.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))) #<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 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))) (patch (/.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))) #<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 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))) (patch (/.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))) #<representation binary32>) () ())) ())
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#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 (* x (sqrt (PI))) (taylor -inf x) (#s(alt (.f32 (sqrt.f32 (PI.f32)) x) (patch (.f32 (sqrt.f32 (PI.f32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (sqrt (PI))) (taylor -inf x) (#s(alt (.f32 (sqrt.f32 (PI.f32)) x) (patch (.f32 (sqrt.f32 (PI.f32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (sqrt (PI))) (taylor -inf x) (#s(alt (.f32 (sqrt.f32 (PI.f32)) x) (patch (.f32 (sqrt.f32 (PI.f32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (sqrt (PI))) (taylor -inf x) (#s(alt (.f32 (sqrt.f32 (PI.f32)) x) (patch (.f32 (sqrt.f32 (PI.f32)) x) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	tau	@	0	((/ (/ (sin (* (PI) x)) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (/ (sin (* tau (* (PI) x))) (* tau (PI))) x) (/ (sin (* tau (* (PI) x))) (* tau (PI))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (* tau (* (PI) x)) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)) (* x (PI)) (* (sqrt (PI)) x))
14.0ms	x	@	-inf	((/ (/ (sin (* (PI) x)) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (/ (sin (* tau (* (PI) x))) (* tau (PI))) x) (/ (sin (* tau (* (PI) x))) (* tau (PI))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (* tau (* (PI) x)) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)) (* x (PI)) (* (sqrt (PI)) x))
9.0ms	x	@	inf	((/ (/ (sin (* (PI) x)) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (/ (sin (* tau (* (PI) x))) (* tau (PI))) x) (/ (sin (* tau (* (PI) x))) (* tau (PI))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (* tau (* (PI) x)) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)) (* x (PI)) (* (sqrt (PI)) x))
6.0ms	tau	@	-inf	((/ (/ (sin (* (PI) x)) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (/ (sin (* tau (* (PI) x))) (* tau (PI))) x) (/ (sin (* tau (* (PI) x))) (* tau (PI))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (* tau (* (PI) x)) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)) (* x (PI)) (* (sqrt (PI)) x))
5.0ms	tau	@	inf	((/ (/ (sin (* (PI) x)) (* (PI) x)) (/ (* tau (* (PI) x)) (sin (* tau (* (PI) x))))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (/ (/ (sin (* tau (* (PI) x))) (* tau (PI))) x) (/ (sin (* tau (* (PI) x))) (* tau (PI))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) (PI))) (* (* tau (* (PI) x)) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* tau (PI)) (* x (PI)) (* (sqrt (PI)) x))

simplify256.0ms (2.3%)

Memory

-5.8MiB live, 272.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	449	6288
1	1509	6122
2	5834	5941
0	8973	5735

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 382

Calls

Call 1

Inputs
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(* tau (* (PI) (sin (* x (PI)))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI))))))))))))
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))))))))
x
(+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2)))))
(+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4)))))))
(+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4))))))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(sin (* x (PI)))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(+ (* -1/6 (* (* (pow tau 2) (* x (sin (* x (PI))))) (sqrt (pow (PI) 3)))) (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))))
(+ (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* x (sin (* x (PI)))) (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 2) (* (pow x 3) (sin (* x (PI))))) (sqrt (pow (PI) 7)))))))
(+ (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* x (sin (* x (PI)))) (sqrt (pow (PI) 3)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (* (pow x 5) (sin (* x (PI))))) (sqrt (pow (PI) 11)))) (* 1/120 (* (* (pow x 3) (sin (* x (PI)))) (sqrt (pow (PI) 7)))))))))
(/ (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 (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* 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 (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* 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 (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(* 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)))))))
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))))))))
x
(* x (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))))
(* x (+ 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 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(sqrt (PI))
(+ (sqrt (PI)) (* (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (sqrt (/ 1 (pow (PI) 3)))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (* (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6)))))) (sqrt (/ 1 (pow (PI) 3)))))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (* (pow x 2) (+ (* (sqrt (/ 1 (pow (PI) 3))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 8))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 8))) (* -1/5040 (pow (PI) 8)))))) (sqrt (/ 1 (pow (PI) 3)))))))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
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))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* tau (* x (PI)))) (* 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 (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* tau (* x (PI)))) (* 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 (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (PI)))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))

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

rewrite154.0ms (1.4%)

Memory

34.6MiB live, 223.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	221
0	61	217
1	240	217
2	1571	209
3	6757	209
0	8035	209

Stop Event

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

Counts

20 → 1 498

Calls

Call 1

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

Outputs
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eval291.0ms (2.6%)

Memory: 27.6MiB live, 520.0MiB allocated
Compiler: Compiled 65 253 to 3 855 computations (94.1% saved)

prune189.0ms (1.7%)

Memory

5.9MiB live, 316.1MiB allocated

Pruning

54 alts after pruning (52 fresh and 2 done)

	Pruned	Kept	Total
New	2 639	30	2 669
Fresh	19	22	41
Picked	3	2	5
Done	1	0	1
Total	2 662	54	2 716

Accuracy

99.6%

Counts

2 716 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
▶	96.6%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	95.0%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.2%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	96.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)) x)
	96.5%	(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) x) (*.f32 (sqrt.f32 (PI.f32)) x))) (sqrt.f32 (PI.f32)))
	96.2%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
✓	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	62.1%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	95.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (sin.f32 (*.f32 x (PI.f32)))) x)
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (*.f32 x (PI.f32)) x))
▶	97.5%	(/.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))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	95.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.3%	(/.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)))
	70.1%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	96.6%	(/.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	70.2%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	96.8%	(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)))
	70.2%	(/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	62.0%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	97.1%	(.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)))
	96.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
	96.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x)))
	70.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	96.9%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x)))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
	96.9%	(.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))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1 binary32))))
	70.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	97.1%	(.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)))
▶	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.0%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 tau x) (PI.f32)) x)))
▶	96.8%	(.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))))
	63.0%	#s(approx (/ (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	96.4%	#s(approx (/ (/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x x) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 tau (PI.f32)))))
▶	60.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.9%	#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))))
✓	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 359 to 1 420 computations (39.8% saved)

simplify106.0ms (0.9%)

Memory

24.3MiB live, 131.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau (PI.f32)) x))
cost-diff	192	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x))
cost-diff	992	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
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	128	(.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 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
cost-diff	0	(fma.f32 tau tau #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
cost-diff	0	(fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
cost-diff	192	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	409
0	77	403
1	168	403
2	488	403
3	2145	403
4	4105	403
5	6818	403
0	8048	403

Stop Event

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

Calls

Call 1

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

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

localize212.0ms (1.9%)

Memory

-37.0MiB live, 221.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.37890625	(*.f32 tau (PI.f32))
accuracy	0.40398125179602573	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.43978500976844204	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x))
accuracy	0.48666000976844204	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
accuracy	0.3203125	(*.f32 (PI.f32) x)
accuracy	0.363945019536884	(.f32 (PI.f32) (.f32 (PI.f32) x))
accuracy	0.40398125179602573	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.43587875976844204	(.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	0.328125	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.33431625976844204	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.40398125179602573	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.42873002930532605	(.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)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	7.098087060984587	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
accuracy	20.569315994260375	(fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
accuracy	26.758341426607306	(fma.f32 tau tau #s(literal 1 binary32))
accuracy	0.32421875	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
accuracy	0.33431625976844204	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.4004288086106521	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
accuracy	0.40398125179602573	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))

Samples

176.0ms

256×

valid

Compiler

Compiled 787 to 81 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

const: 66.0ms (48.1% of total)

ival-mult: 35.0ms (25.5% of total)

ival-div: 18.0ms (13.1% of total)

ival-sin: 7.0ms (5.1% of total)

ival-sinu: 5.0ms (3.6% of total)

ival-add: 2.0ms (1.5% of total)

ival-sqrt: 2.0ms (1.5% of total)

ival-neg: 2.0ms (1.5% of total)

ival-pi: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.4%)

Memory

22.9MiB live, 97.6MiB allocated

Counts

21 → 408

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	tau	@	-inf	((/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (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)) (/ (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) (PI)) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* (PI) x)) (* tau (PI)))
5.0ms	x	@	-inf	((/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (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)) (/ (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) (PI)) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* (PI) x)) (* tau (PI)))
5.0ms	x	@	inf	((/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (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)) (/ (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) (PI)) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* (PI) x)) (* tau (PI)))
4.0ms	tau	@	inf	((/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (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)) (/ (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) (PI)) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* (PI) x)) (* tau (PI)))
3.0ms	tau	@	0	((/ (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) x)) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (* (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)) (/ (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (* (PI) (PI)) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* (PI) (* (PI) x)) (* tau (PI)))

simplify339.0ms (3%)

Memory

-29.5MiB live, 413.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	7112
1	1422	6816
2	5402	6601
0	8568	6355

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 406

Calls

Call 1

Inputs
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* -1/6 (pow (PI) 2))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
1
(+ 1 (pow tau 2))
(+ 1 (pow tau 2))
(+ 1 (pow tau 2))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(* -1 (* tau (* x (PI))))
(* tau (- (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (- (* (pow tau 2) (- (* -1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* x (PI))))
(* tau (- (* (pow tau 2) (- (* (pow tau 2) (- (* 1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI))))
(+ (* -1/6 (* (* (pow tau 2) (* x (sin (* x (PI))))) (sqrt (pow (PI) 3)))) (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))))
(+ (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* x (sin (* x (PI)))) (sqrt (pow (PI) 3)))) (* 1/120 (* (* (pow tau 2) (* (pow x 3) (sin (* x (PI))))) (sqrt (pow (PI) 7)))))))
(+ (* (/ (sin (* x (PI))) x) (sqrt (/ 1 (PI)))) (* (pow tau 2) (+ (* -1/6 (* (* x (sin (* x (PI)))) (sqrt (pow (PI) 3)))) (* (pow tau 2) (+ (* -1/5040 (* (* (pow tau 2) (* (pow x 5) (sin (* x (PI))))) (sqrt (pow (PI) 11)))) (* 1/120 (* (* (pow x 3) (sin (* x (PI)))) (sqrt (pow (PI) 7)))))))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(sin (* x (PI)))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
tau
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(pow tau 2)
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(pow tau 2)
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(* -1 (sin (* tau (* x (PI)))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (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
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(/ 1 tau)
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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))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
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(* tau (* x (PI)))
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(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(sqrt (PI))
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(+ (sqrt (PI)) (* (pow x 2) (+ (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (* (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6)))))) (sqrt (/ 1 (pow (PI) 3)))))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (* (pow x 2) (+ (* (sqrt (/ 1 (pow (PI) 3))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6)))))) (* (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 8))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 8))) (* -1/5040 (pow (PI) 8)))))) (sqrt (/ 1 (pow (PI) 3)))))))))
(/ 1 tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
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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))))
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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))))
(* -1 (sin (* tau (* 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)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
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(/ (sin (* x (PI))) (* tau (* x (PI))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
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(/ (sin (* tau (* x (PI)))) (* x (PI)))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
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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 (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
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(* 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))))
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(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
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(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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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))))
(* -1 (sin (* tau (* x (PI)))))
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(* -1 (sin (* tau (* x (PI)))))
(sin (* tau (* x (PI))))
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(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))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(* (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow x 2))) (sqrt (/ 1 (pow (PI) 3))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))

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

rewrite210.0ms (1.9%)

Memory

11.0MiB live, 242.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	261
0	77	255
1	297	255
2	1952	243
0	8530	241

Stop Event

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

Counts

21 → 2 022

Calls

Call 1

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

Outputs
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eval368.0ms (3.3%)

Memory: 61.7MiB live, 549.3MiB allocated
Compiler: Compiled 80 304 to 4 319 computations (94.6% saved)

prune302.0ms (2.7%)

Memory

-23.9MiB live, 506.4MiB allocated

Pruning

91 alts after pruning (88 fresh and 3 done)

	Pruned	Kept	Total
New	3 232	54	3 286
Fresh	13	34	47
Picked	4	1	5
Done	0	2	2
Total	3 249	91	3 340

Accuracy

99.6%

Counts

3 340 → 91

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	94.9%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
▶	70.0%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.2%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	96.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)) x)
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
	70.2%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (PI)) x)) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	96.5%	(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) x) (*.f32 (sqrt.f32 (PI.f32)) x))) (sqrt.f32 (PI.f32)))
✓	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	97.3%	(/.f32 (/.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (neg.f32 tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) x))
	62.1%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	95.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (sin.f32 (*.f32 x (PI.f32)))) x)
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	95.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))) (.f32 (PI.f32) x))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))) (.f32 (PI.f32) x))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
▶	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 tau (*.f32 x (PI.f32)))))
	70.2%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	70.1%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	70.2%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	70.2%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	96.8%	(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)))
▶	97.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32)))))
	96.4%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau) (sin.f32 (*.f32 x (PI.f32)))) x))
	97.4%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (*.f32 x (PI.f32)))))
	97.4%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
	96.3%	(/.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)))) (sqrt.f32 (PI.f32)))
	70.2%	(/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	63.0%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	62.0%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	96.7%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))) x)))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	97.1%	(.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)))
	96.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
	96.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x)))
	70.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	96.9%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x)))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
	96.9%	(.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))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1 binary32))))
	70.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
✓	97.3%	(.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)))
	70.1%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.0%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 tau x) (PI.f32)) x)))
	69.9%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau))))
	97.2%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	70.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
	62.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)))) (*.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 (.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	4.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	4.2%	#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 (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.f32 tau tau) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 x x) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	7.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 x x) #s(literal 1 binary32)))
	10.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 tau) tau #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	36.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
▶	58.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))))
▶	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
	5.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)))))
	4.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) x)) (.f32 (PI.f32) (PI.f32)))))
✓	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 3 812 to 2 378 computations (37.6% saved)

simplify278.0ms (2.5%)

Memory

-4.8MiB live, 262.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))))))
cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
cost-diff	0	#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 tau (PI.f32)) x))
cost-diff	0	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
cost-diff	1184	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
cost-diff	0	(.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (*.f32 tau tau)) (PI.f32))))
cost-diff	0	(fma.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))
cost-diff	0	#s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32)))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))))
cost-diff	0	(.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32))
cost-diff	0	(fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))
cost-diff	0	#s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32)))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
cost-diff	0	(PI.f32)
cost-diff	0	(*.f32 x (PI.f32))
cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	579
0	109	559
1	241	559
2	719	555
3	3110	555
4	4565	555
5	5085	555
6	5227	555
7	5229	555
8	5229	555
0	8461	547

Stop Event

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

Calls

Call 1

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

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

localize187.0ms (1.7%)

Memory

33.5MiB live, 263.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.33984375	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))))))
accuracy	0.35546875	(.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy	0.40398125179602573	(sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
accuracy	0.40824130861065216	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
accuracy	0.40398125179602573	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.43978500976844204	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x))
accuracy	0.48666000976844204	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
accuracy	9.216820248034777	#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
accuracy	0.390625	(.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (*.f32 tau tau)) (PI.f32))))
accuracy	0.40234375	(*.f32 #s(literal -1/6 binary32) x)
accuracy	7.098087060984587	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))))
accuracy	20.42518056526772	(fma.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))
accuracy	0.40234375	(*.f32 #s(literal -1/6 binary32) x)
accuracy	7.098087060984587	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
accuracy	11.940465039264181	#s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32)))
accuracy	19.71216743624149	(fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))
accuracy	0.31869125976844204	(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
accuracy	0.3203125	(*.f32 x (PI.f32))
accuracy	0.34117128907376804	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32)))))
accuracy	0.40398125179602573	(sin.f32 (.f32 tau (.f32 x (PI.f32))))

Samples

131.0ms

256×

valid

Compiler

Compiled 912 to 104 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 61.0ms (54.8% of total)

ival-div: 20.0ms (18% of total)

ival-sin: 13.0ms (11.7% of total)

ival-add: 6.0ms (5.4% of total)

ival-sinu: 5.0ms (4.5% of total)

const: 4.0ms (3.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series137.0ms (1.2%)

Memory

-13.9MiB live, 114.0MiB allocated

Counts

27 → 528

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	tau	@	inf	((/ (sin (* x (PI))) (* (/ (* x (PI)) (sin (* tau (* x (PI))))) (* tau (* x (PI))))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* -1/6 x) x) (PI)) (PI)) 1) (* (* (* -1/6 x) x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* -1/6 x) x) (* (PI) (+ (/ (PI) (* tau tau)) (PI)))) (* tau tau)) 1) (* (* (* -1/6 x) x) (* (PI) (+ (/ (PI) (* tau tau)) (PI)))) (/ (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* (PI) x)) (/ 1 (/ 1 (* x (PI)))) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (/ 1 (/ 1 (* x (PI))))))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (/ 1 (/ 1 (* x (PI))))))) (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI)))) (/ (* x (PI)) (sin (* tau (* x (PI))))) (* -1/6 x) (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x))) (sin (* tau (/ 1 (/ 1 (* x (PI)))))) (* (* tau (* (PI) x)) (PI)))
26.0ms	x	@	inf	((/ (sin (* x (PI))) (* (/ (* x (PI)) (sin (* tau (* x (PI))))) (* tau (* x (PI))))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* -1/6 x) x) (PI)) (PI)) 1) (* (* (* -1/6 x) x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* -1/6 x) x) (* (PI) (+ (/ (PI) (* tau tau)) (PI)))) (* tau tau)) 1) (* (* (* -1/6 x) x) (* (PI) (+ (/ (PI) (* tau tau)) (PI)))) (/ (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* (PI) x)) (/ 1 (/ 1 (* x (PI)))) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (/ 1 (/ 1 (* x (PI))))))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (/ 1 (/ 1 (* x (PI))))))) (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI)))) (/ (* x (PI)) (sin (* tau (* x (PI))))) (* -1/6 x) (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x))) (sin (* tau (/ 1 (/ 1 (* x (PI)))))) (* (* tau (* (PI) x)) (PI)))
7.0ms	x	@	-inf	((/ (sin (* x (PI))) (* (/ (* x (PI)) (sin (* tau (* x (PI))))) (* tau (* x (PI))))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* -1/6 x) x) (PI)) (PI)) 1) (* (* (* -1/6 x) x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* -1/6 x) x) (* (PI) (+ (/ (PI) (* tau tau)) (PI)))) (* tau tau)) 1) (* (* (* -1/6 x) x) (* (PI) (+ (/ (PI) (* tau tau)) (PI)))) (/ (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* (PI) x)) (/ 1 (/ 1 (* x (PI)))) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (/ 1 (/ 1 (* x (PI))))))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (/ 1 (/ 1 (* x (PI))))))) (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI)))) (/ (* x (PI)) (sin (* tau (* x (PI))))) (* -1/6 x) (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x))) (sin (* tau (/ 1 (/ 1 (* x (PI)))))) (* (* tau (* (PI) x)) (PI)))
6.0ms	tau	@	-inf	((/ (sin (* x (PI))) (* (/ (* x (PI)) (sin (* tau (* x (PI))))) (* tau (* x (PI))))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* -1/6 x) x) (PI)) (PI)) 1) (* (* (* -1/6 x) x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* -1/6 x) x) (* (PI) (+ (/ (PI) (* tau tau)) (PI)))) (* tau tau)) 1) (* (* (* -1/6 x) x) (* (PI) (+ (/ (PI) (* tau tau)) (PI)))) (/ (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* (PI) x)) (/ 1 (/ 1 (* x (PI)))) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (/ 1 (/ 1 (* x (PI))))))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (/ 1 (/ 1 (* x (PI))))))) (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI)))) (/ (* x (PI)) (sin (* tau (* x (PI))))) (* -1/6 x) (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x))) (sin (* tau (/ 1 (/ 1 (* x (PI)))))) (* (* tau (* (PI) x)) (PI)))
5.0ms	x	@	0	((/ (sin (* x (PI))) (* (/ (* x (PI)) (sin (* tau (* x (PI))))) (* tau (* x (PI))))) (sin (* x (PI))) (* x (PI)) (PI) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* -1/6 x) x) (PI)) (PI)) 1) (* (* (* -1/6 x) x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* -1/6 x) x) (* (PI) (+ (/ (PI) (* tau tau)) (PI)))) (* tau tau)) 1) (* (* (* -1/6 x) x) (* (PI) (+ (/ (PI) (* tau tau)) (PI)))) (/ (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sqrt (PI))) (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* (PI) x)) (/ 1 (/ 1 (* x (PI)))) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (/ 1 (/ 1 (* x (PI))))))) (* (* tau (* (PI) x)) (PI))) (* (/ (sin (* (PI) x)) x) (sin (* tau (/ 1 (/ 1 (* x (PI))))))) (/ (sin (* (PI) x)) x) (sin (* tau (* x (PI)))) (/ (* x (PI)) (sin (* tau (* x (PI))))) (* -1/6 x) (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (sin (* tau (* (PI) x))) (sin (* tau (/ 1 (/ 1 (* x (PI)))))) (* (* tau (* (PI) x)) (PI)))

simplify427.0ms (3.8%)

Memory

-30.3MiB live, 338.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	9564
1	1671	8890
2	6420	8661
0	8063	8321

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

rewrite259.0ms (2.3%)

Memory

-28.1MiB live, 375.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	452
0	109	436
1	408	432
2	2838	411
0	8390	396

Stop Event

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

Counts

27 → 1 020

Calls

Call 1

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

Outputs
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eval302.0ms (2.7%)

Memory: 40.5MiB live, 624.7MiB allocated
Compiler: Compiled 66 469 to 7 193 computations (89.2% saved)

prune326.0ms (2.9%)

Memory

-12.0MiB live, 557.9MiB allocated

Pruning

152 alts after pruning (146 fresh and 6 done)

	Pruned	Kept	Total
New	2 478	83	2 561
Fresh	20	63	83
Picked	2	3	5
Done	0	3	3
Total	2 500	152	2 652

Accuracy

99.6%

Counts

2 652 → 152

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(/.f32 (/.f32 (/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) tau) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	69.9%	(/.f32 (/.f32 (/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (PI.f32))) x) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.0%	(/.f32 (/.f32 (/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau x)) (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.3%	(/.f32 (/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
	70.1%	(/.f32 (/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.0%	(/.f32 (/.f32 (.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) x) (sqrt.f32 (PI.f32)))
	70.0%	(/.f32 (/.f32 (.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	97.0%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	94.9%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
✓	70.0%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	61.9%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (sin ( tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.0%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32)))) x) (sqrt.f32 (PI.f32)))
	70.1%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) x)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
	69.8%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) x))) x) (sqrt.f32 (PI.f32)))
	69.9%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	69.8%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 x (.f32 (sqrt.f32 (PI.f32)) x))) (sqrt.f32 (PI.f32)))
	69.8%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.0%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	69.9%	(/.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	69.8%	(/.f32 (/.f32 (.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 #s(literal 1 binary32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.1%	(/.f32 (/.f32 (.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.1%	(/.f32 (/.f32 (.f32 (.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau)) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	96.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)) x)
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) x))
	70.2%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (PI)) x)) (fma.f32 (.f32 (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32)) x) x (/.f32 #s(literal 1 binary32) tau))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.2%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau (PI)) x)) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.1%	(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) x))) (.f32 tau (.f32 (PI.f32) x))) (sqrt.f32 (PI.f32)))
	70.2%	(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.1%	(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 tau (*.f32 (PI.f32) x)))) (sqrt.f32 (PI.f32)))
	70.1%	(/.f32 (/.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (/.f32 (.f32 tau (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) x))) (sqrt.f32 (PI.f32)))
	96.5%	(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) x) (*.f32 (sqrt.f32 (PI.f32)) x))) (sqrt.f32 (PI.f32)))
✓	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	97.3%	(/.f32 (/.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (neg.f32 tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) x))
	62.1%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
	70.1%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32)))))) (sqrt.f32 (PI.f32)))
	70.0%	(/.f32 (.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) x)) (sqrt.f32 (PI.f32)))
	70.1%	(/.f32 (.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	95.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) x)) x) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))) (.f32 (PI.f32) x))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	95.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))))))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
✓	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 tau (*.f32 x (PI.f32)))))
	70.1%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sqrt.f32 (PI.f32)))) (.f32 (sqrt.f32 (PI.f32)) x))
	70.2%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	70.1%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	70.0%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))) x)
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 tau) (.f32 (PI.f32) x))))
	70.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) x))) (sqrt.f32 (PI.f32)))
	70.2%	(/.f32 (.f32 (neg.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (sqrt.f32 (PI.f32)) (*.f32 (neg.f32 x) (sqrt.f32 (PI.f32)))))
	97.1%	(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 x) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	70.2%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	70.2%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	70.0%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) x)))) (sqrt.f32 (PI.f32)))
	96.8%	(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)))
	94.5%	(/.f32 (sin.f32 (.f32 x (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))))
	96.0%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))))
	96.1%	(/.f32 (sin.f32 (.f32 x (exp.f32 (log.f32 (PI.f32))))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32)))))
	96.3%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))))
	96.0%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))))) (.f32 tau (.f32 x (PI.f32)))))
	97.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (/.f32 x (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (.f32 tau (*.f32 x (PI.f32)))))
	62.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 #s(approx (/ (* x (PI)) (sin (* tau (* x (PI))))) (/.f32 #s(literal 1 binary32) tau)) (.f32 tau (.f32 x (PI.f32)))))
	96.4%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau) (sin.f32 (*.f32 x (PI.f32)))) x))
	96.3%	(/.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)))) (sqrt.f32 (PI.f32)))
	70.2%	(/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
	63.0%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (* tau (* (PI) x)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	62.0%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (/ 1 (/ 1 (* x (PI))))))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	62.0%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	70.2%	(/.f32 #s(approx (sin (* x (PI))) (.f32 (PI.f32) x)) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32)))))
	70.2%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))))
	96.7%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))) x)))
	69.8%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) x) (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x)))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) (sqrt.f32 (PI.f32))))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	97.1%	(.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)))
	96.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
	96.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x)))
	70.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	70.0%	(.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) x)))
	70.1%	(.f32 (/.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 x) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (PI.f32)))))
	96.9%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) x))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
	70.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
	70.0%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32))))
	70.1%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.0%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 tau x) (PI.f32)) x)))
	70.2%	(.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))
	70.1%	(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	69.9%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (neg.f32 tau))))
	70.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)))) (*.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 (.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	4.8%	#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 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	4.4%	#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 (exp.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.f32 tau tau) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 x x) #s(literal 1 binary32)))
	7.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	37.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
	7.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (fma.f32 (.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) (.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (/.f32 (PI.f32) (.f32 tau tau)))) (*.f32 tau tau) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) x) x (.f32 (/.f32 (PI.f32) (.f32 tau tau)) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)))) (*.f32 tau tau) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) x) x (.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (/.f32 (PI.f32) (.f32 tau tau)))) (*.f32 tau tau) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (PI.f32)) (.f32 (/.f32 (PI.f32) (.f32 tau tau)) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)))) (*.f32 tau tau) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (/.f32 (PI.f32) (.f32 tau tau)))) (*.f32 tau tau) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (fma.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) x)) (.f32 (PI.f32) x) (.f32 (/.f32 (PI.f32) (.f32 tau tau)) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)))) (*.f32 tau tau) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (/.f32 (PI.f32) (.f32 tau tau)) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)))) (*.f32 tau tau) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (fma.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (/.f32 (PI.f32) (.f32 tau tau)))) (.f32 tau tau) #s(literal 1 binary32))))
	7.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (-.f32 (pow.f32 (/.f32 (PI.f32) (.f32 tau tau)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (-.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32))) (.f32 tau tau) #s(literal 1 binary32))))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))) (PI.f32) #s(literal 1 binary32))))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (/.f32 (neg.f32 (.f32 #s(literal -1/6 binary32) x)) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) x))) (PI.f32) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (.f32 x #s(literal -1/6 binary32)) x) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (+.f32 (/.f32 (fabs.f32 (PI.f32)) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))))
✓	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))))
	4.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (fabs.f32 (PI.f32)) #s(literal 1 binary32))))
	6.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 tau tau) (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32))) (fma.f32 (pow.f32 tau #s(literal -2 binary32)) (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (PI.f32) (.f32 (*.f32 #s(literal -1/6 binary32) x) x)) (PI.f32) #s(literal 1 binary32))))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) x))) (PI.f32) #s(literal 1 binary32))))
	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 (PI.f32) x))) (PI.f32) #s(literal 1 binary32))))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))))
	61.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 #s(approx (* (* (* -1/6 x) x) (* (PI) (+ (/ (PI) (* tau tau)) (PI)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x)) (*.f32 tau tau) #s(literal 1 binary32))))
	36.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (.f32 (.f32 (.f32 (fma.f32 (pow.f32 tau #s(literal -2 binary32)) (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) x) x)) (.f32 tau tau)) #s(literal 1 binary32))))
	63.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))) #s(literal 1 binary32))))
	5.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* (* (* -1/6 x) x) (PI)) (PI)) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
✓	62.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 8 145 to 2 925 computations (64.1% saved)

regimes289.0ms (2.6%)

Memory

-13.2MiB live, 458.9MiB allocated

Counts

214 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* (* (* -1/6 x) x) (PI)) (PI)) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 (PI.f32) x))) (PI.f32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) x))) (PI.f32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (PI.f32) (.f32 (*.f32 #s(literal -1/6 binary32) x) x)) (PI.f32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (fabs.f32 (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) x)) (.f32 (PI.f32) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 #s(approx (* (* (* -1/6 x) x) (* (PI) (+ (/ (PI) (* tau tau)) (PI)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x)) (*.f32 tau tau) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 x x) #s(literal 1 binary32)))
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(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 tau (.f32 (PI.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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.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))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 tau (PI.f32)))) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) x)))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) x) (*.f32 (sqrt.f32 (PI.f32)) x))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))))) (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))))))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) x)) x) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (* tau (PI)) x)) (sin (* tau (* (PI) x)))) (* (sqrt (PI)) x)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)))) (sqrt.f32 (PI.f32)))
(/.f32 (sin.f32 (.f32 x (exp.f32 (log.f32 (PI.f32))))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1 binary32))))
(/.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.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 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (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 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (sin.f32 (.f32 x (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))))

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

Calls

4 calls:

97.0ms	(.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))))
61.0ms	x
59.0ms	(*.f32 x (PI.f32))
59.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes237.0ms (2.1%)

Memory

-16.8MiB live, 284.8MiB allocated

Counts

132 → 1

Calls

Call 1

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

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

Calls

4 calls:

74.0ms	x
56.0ms	(*.f32 x (PI.f32))
50.0ms	tau
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))))

Results

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

regimes233.0ms (2.1%)

Memory

-3.8MiB live, 231.4MiB allocated

Counts

122 → 1

Calls

Call 1

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

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

Calls

4 calls:

74.0ms	(.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))))
57.0ms	(*.f32 x (PI.f32))
38.0ms	tau
32.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes207.0ms (1.8%)

Memory

11.5MiB live, 129.1MiB allocated

Counts

121 → 1

Calls

Call 1

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

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

Calls

4 calls:

64.0ms	x
55.0ms	(*.f32 x (PI.f32))
51.0ms	(.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	tau

Results

Accuracy	Segments	Branch
70.3%	1	`x`
70.3%	1	`tau`
70.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
70.3%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes151.0ms (1.3%)

Memory

-2.7MiB live, 162.4MiB allocated

Counts

106 → 1

Calls

Call 1

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

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

Calls

4 calls:

50.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
33.0ms	(*.f32 x (PI.f32))
32.0ms	x
30.0ms	tau

Results

Accuracy	Segments	Branch
70.2%	1	`x`
70.2%	1	`(*.f32 x (PI.f32))`
70.2%	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))))`
70.2%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes145.0ms (1.3%)

Memory

15.2MiB live, 171.5MiB allocated

Counts

68 → 1

Calls

Call 1

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

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

Calls

4 calls:

43.0ms	tau
40.0ms	(.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))))
38.0ms	(*.f32 x (PI.f32))
21.0ms	x

Results

Accuracy	Segments	Branch
70.2%	1	`x`
70.2%	1	`(*.f32 x (PI.f32))`
70.2%	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))))`
70.2%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes83.0ms (0.7%)

Memory

6.8MiB live, 163.2MiB allocated

Counts

65 → 1

Calls

Call 1

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

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:

22.0ms	(*.f32 x (PI.f32))
19.0ms	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))))
18.0ms	x

Results

Accuracy	Segments	Branch
70.2%	1	`x`
70.2%	1	`(*.f32 x (PI.f32))`
70.2%	1	`tau`
70.2%	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)

regimes118.0ms (1.1%)

Memory

-3.2MiB live, 148.2MiB allocated

Counts

62 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

46.0ms	(*.f32 x (PI.f32))
33.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
19.0ms	x
17.0ms	tau

Results

Accuracy	Segments	Branch
63.1%	1	`x`
63.1%	1	`(*.f32 x (PI.f32))`
63.1%	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))))`
63.1%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes68.0ms (0.6%)

Memory

5.6MiB live, 137.1MiB allocated

Accuracy

Total -18.8b remaining (-155.6%)

Threshold costs -18.8b (-155.6%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	x
16.0ms	tau
15.0ms	(*.f32 x (PI.f32))
14.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
62.2%	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))))`
62.2%	1	`x`
62.2%	1	`(*.f32 x (PI.f32))`
62.2%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify66.0ms (0.6%)

Memory

-23.2MiB live, 93.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	237
1	105	237
2	138	237
3	191	233
4	255	233
5	371	233
6	488	233
7	612	233
8	707	233
9	817	233
10	913	233
11	973	233
12	995	233
13	999	233

Stop Event

1×

saturated

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

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

soundness1.8s (15.9%)

Memory

27.6MiB live, 1 258.5MiB allocated

Iterations

Useful iterations: 2 (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
0	44	261
0	77	255
1	297	255
2	1952	243
0	8530	241
0	10	55
0	18	55
1	63	55
2	483	53
3	6485	53
0	8114	53
0	449	6288
1	1509	6122
2	5834	5941
0	8973	5735
0	36	221
0	61	217
1	240	217
2	1571	209
3	6757	209
0	8035	209
0	65	452
0	109	436
1	408	432
2	2838	411
0	8390	396
0	433	7112
1	1422	6816
2	5402	6601
0	8568	6355

Stop Event

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

Compiler

Compiled 493 to 218 computations (55.8% saved)

preprocess59.0ms (0.5%)

Memory

-11.6MiB live, 145.3MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 1 094 to 460 computations (58% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	70	237
1	105	237
2	138	237
3	191	233
4	255	233
5	371	233
6	488	233
7	612	233
8	707	233
9	817	233
10	913	233
11	973	233
12	995	233
13	999	233

Iter	Nodes	Cost
0	70	237
1	105	237
2	138	237
3	191	233
4	255	233
5	371	233
6	488	233
7	612	233
8	707	233
9	817	233
10	913	233
11	973	233
12	995	233
13	999	233

start0.0ms (0%)

analyze28.0ms (0.3%)

sample2.1s (18.3%)

explain125.0ms (1.1%)

preprocess78.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify19.0ms (0.2%)

localize44.0ms (0.4%)

series48.0ms (0.4%)

simplify291.0ms (2.6%)

rewrite137.0ms (1.2%)

eval90.0ms (0.8%)

prune135.0ms (1.2%)

simplify136.0ms (1.2%)

localize120.0ms (1.1%)

series77.0ms (0.7%)

simplify256.0ms (2.3%)

rewrite154.0ms (1.4%)

eval291.0ms (2.6%)

prune189.0ms (1.7%)

simplify106.0ms (0.9%)

localize212.0ms (1.9%)

series49.0ms (0.4%)

simplify339.0ms (3%)

rewrite210.0ms (1.9%)

eval368.0ms (3.3%)

prune302.0ms (2.7%)

simplify278.0ms (2.5%)

localize187.0ms (1.7%)

series137.0ms (1.2%)

simplify427.0ms (3.8%)

rewrite259.0ms (2.3%)

eval302.0ms (2.7%)

prune326.0ms (2.9%)

regimes289.0ms (2.6%)

regimes237.0ms (2.1%)

regimes233.0ms (2.1%)

regimes207.0ms (1.8%)

regimes151.0ms (1.3%)

regimes145.0ms (1.3%)

regimes83.0ms (0.7%)

regimes118.0ms (1.1%)

regimes68.0ms (0.6%)

simplify66.0ms (0.6%)

soundness1.8s (15.9%)

preprocess59.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	70	237
1	105	237
2	138	237
3	191	233
4	255	233
5	371	233
6	488	233
7	612	233
8	707	233
9	817	233
10	913	233
11	973	233
12	995	233
13	999	233