Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze20.0ms (0.2%)

Memory

12.0MiB live, 50.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.3s (15.6%)

Memory

37.2MiB live, 2 569.0MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 810.0ms

ival-sin: 240.0ms (29.6% of total)

ival-mult: 170.0ms (21% of total)

const: 116.0ms (14.3% of total)

ival-div: 106.0ms (13.1% of total)

ival-<=: 91.0ms (11.2% of total)

ival-pi: 56.0ms (6.9% of total)

ival-and: 20.0ms (2.5% of total)

exact: 7.0ms (0.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain122.0ms (1.4%)

Memory

-23.3MiB live, 190.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.6846045255661011 4.347371578216553)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	2
-	0	254

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	2
-	0	0	254

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

42.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sin: 13.0ms (44.7% of total)

ival-mult: 8.0ms (27.5% of total)

ival-div: 6.0ms (20.6% of total)

ival-pi: 2.0ms (6.9% of total)

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

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

preprocess72.0ms (0.8%)

Memory

3.2MiB live, 79.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify23.0ms (0.3%)

Memory

-0.2MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

598×	`times-frac`
578×	`lower-*.f64`
572×	`lower-*.f32`
540×	`lower-/.f64`
536×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.5%)

Memory

-6.6MiB live, 70.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.30439379884221013	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.32421875	(*.f32 x (PI.f32))
accuracy	0.37794877930532605	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.445976269536884	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

25.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 10.0ms (55.5% of total)

ival-mult: 4.0ms (22.2% of total)

ival-div: 3.0ms (16.7% of total)

ival-pi: 1.0ms (5.6% of total)

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

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

series28.0ms (0.3%)

Memory

37.3MiB live, 37.3MiB 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
7.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
5.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
4.0ms	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)))
3.0ms	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)))

simplify217.0ms (2.5%)

Memory

-23.7MiB live, 209.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite165.0ms (1.9%)

Memory

-10.3MiB live, 241.6MiB allocated

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

6 → 670

Calls

Call 1

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

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

eval93.0ms (1.1%)

Memory: 23.1MiB live, 203.0MiB allocated
Compiler: Compiled 24 307 to 2 341 computations (90.4% saved)

prune75.0ms (0.9%)

Memory

15.3MiB live, 174.9MiB allocated

Pruning

35 alts after pruning (34 fresh and 1 done)

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

Accuracy

99.8%

Counts

1 014 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (PI.f32)) tau))
	96.4%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (.f32 (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) (cbrt.f32 (PI.f32))))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
	96.3%	(/.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))))
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (.f32 (cbrt.f32 (PI.f32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.6%	(/.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))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
	97.6%	(/.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))
▶	97.5%	(/.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))))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) tau))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))
	98.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))) (.f32 x (PI.f32))))
	96.2%	(.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))))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	71.5%	(.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)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (cbrt.f32 (PI.f32)) tau)))
▶	98.1%	(.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)))
▶	97.4%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	97.7%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	97.2%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau))))
	24.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 tau (.f32 (.f32 x x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	64.2%	#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)))
	64.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	97.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
▶	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 505 to 880 computations (41.5% saved)

simplify96.0ms (1.1%)

Memory

-35.6MiB live, 73.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3 902×	`lower-*.f64`
3 872×	`lower-*.f32`
3 088×	`lower-/.f64`
3 072×	`lower-/.f32`
1 684×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	337
0	75	333
1	161	333
2	415	333
3	1728	331
4	4317	331
5	7321	331
0	8260	331

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1.2%)

Memory

-11.6MiB live, 182.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.328125	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))
accuracy	0.33203125	(*.f32 tau (PI.f32))
accuracy	0.37890625	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))
accuracy	0.4225387695368841	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
accuracy	0.32421875	(*.f32 (neg.f32 (PI.f32)) x)
accuracy	0.32421875	(*.f32 (PI.f32) x)
accuracy	0.37109375	(.f32 (.f32 (neg.f32 x) tau) (PI.f32))
accuracy	0.3942375488422101	(/.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))))
accuracy	0.32421875	(*.f32 x (PI.f32))
accuracy	0.37109375	(.f32 (.f32 tau x) (PI.f32))
accuracy	0.37794877930532605	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.445976269536884	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32)))
accuracy	11.471495416716314	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.3203125	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.32421875	(*.f32 (PI.f32) x)
accuracy	0.35546875	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.38900375976844204	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))

Samples

78.0ms

256×

valid

Compiler

Compiled 337 to 37 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 25.0ms (43.6% of total)

ival-sin: 17.0ms (29.6% of total)

ival-div: 12.0ms (20.9% of total)

ival-neg: 2.0ms (3.5% of total)

ival-pi: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series65.0ms (0.8%)

Memory

27.6MiB live, 65.0MiB allocated

Counts

23 → 480

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ 1 x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* x (PI)) (* (* (neg x) tau) (PI)) (* (neg (PI)) x) (* tau (PI)))
6.0ms	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)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ 1 x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* x (PI)) (* (* (neg x) tau) (PI)) (* (neg (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)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ 1 x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* x (PI)) (* (* (neg x) tau) (PI)) (* (neg (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)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ 1 x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* x (PI)) (* (* (neg x) tau) (PI)) (* (neg (PI)) x) (* tau (PI)))
4.0ms	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)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (* (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ 1 x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (* x (PI)) (* (* (neg x) tau) (PI)) (* (neg (PI)) x) (* tau (PI)))

simplify299.0ms (3.5%)

Memory

13.1MiB live, 196.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20 196×	`lower-fma.f64`
20 196×	`lower-fma.f32`
7 552×	`lower-*.f64`
7 552×	`lower-*.f32`
5 262×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	7024
1	1197	6881
2	4658	6734
0	8014	6518

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 477

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

rewrite313.0ms (3.6%)

Memory

-10.2MiB live, 235.2MiB allocated

Rules

4 862×	`lower-*.f64`
4 832×	`lower-*.f32`
4 016×	`lower-/.f64`
4 000×	`lower-/.f32`
1 152×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	250
0	75	246
1	258	246
2	1454	232
0	8108	232

Stop Event

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

Counts

23 → 1 876

Calls

Call 1

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

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

eval650.0ms (7.6%)

Memory: 19.6MiB live, 544.3MiB allocated
Compiler: Compiled 79 678 to 5 001 computations (93.7% saved)

prune305.0ms (3.5%)

Memory

22.6MiB live, 351.8MiB allocated

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	3 236	35	3 271
Fresh	21	8	29
Picked	2	3	5
Done	1	0	1
Total	3 260	46	3 306

Accuracy

99.9%

Counts

3 306 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (PI.f32)))
	96.3%	(/.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)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.6%	(/.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)))
	96.2%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (neg.f32 x) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))))
▶	98.1%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
	97.6%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 x)) (neg.f32 (PI.f32))))
	97.4%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (*.f32 tau x)) (PI.f32)))
	97.2%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (PI.f32)) (/.f32 (.f32 (neg.f32 x) tau) (sin.f32 (*.f32 x (PI.f32))))))
▶	96.9%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))))
	71.5%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 tau (.f32 (PI.f32) x))))
	64.8%	(/.f32 #s(approx (sin (* tau (* (PI) x))) (.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))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))) (.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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau x)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau (PI.f32))))
	32.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (fma.f32 (neg.f32 x) #s(literal 0 binary32) (*.f32 x (PI.f32)))))
✓	97.5%	(.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))))
	71.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 tau x)) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 tau x)) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) x)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) x)))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
✓	98.1%	(.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)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
▶	64.7%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	71.4%	(.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 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) x) (PI.f32)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	97.6%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	33.8%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (fma.f32 (neg.f32 x) #s(literal 0 binary32) (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	71.3%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	96.8%	(.f32 (.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	97.7%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	97.0%	(.f32 (.f32 #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	64.8%	(.f32 (.f32 #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	97.4%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 tau x)) (.f32 (*.f32 x (PI.f32)) (PI.f32))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)) (.f32 (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) x)))
	24.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 tau (.f32 (.f32 x x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	71.4%	(.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)))
	64.7%	(.f32 #s(approx ( (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (/.f32 #s(literal 1 binary32) x))
	64.2%	#s(approx (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)))
	64.9%	#s(approx (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
▶	64.2%	#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)))
✓	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 868 to 1 166 computations (37.6% saved)

simplify153.0ms (1.8%)

Memory

-11.4MiB live, 103.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 020×	`lower-fma.f64`
5 016×	`lower-fma.f32`
3 748×	`lower-*.f64`
3 716×	`lower-*.f32`
2 840×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	458
0	94	458
1	204	458
2	545	458
3	1991	454
4	4228	454
5	5963	454
0	8409	454

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (1.8%)

Memory

17.8MiB live, 175.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.328125	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))
accuracy	0.33203125	(*.f32 tau (PI.f32))
accuracy	0.33984375	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
accuracy	0.37890625	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))
accuracy	0.37337875976844204	(.f32 (.f32 (.f32 x x) tau) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
accuracy	0.3942375488422101	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))))
accuracy	0.43359375	(/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	0.37109375	(.f32 (.f32 tau x) (PI.f32))
accuracy	0.37794877930532605	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.445976269536884	(/.f32 #s(approx (sin (* (* x (PI)) tau)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (PI.f32)))
accuracy	10.927228231679635	#s(approx (sin (* (* x (PI)) tau)) (.f32 tau (.f32 (PI.f32) x)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	7.047433211140102	#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	18.538277238412586	(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	26.57990517051242	(fma.f32 tau tau #s(literal 1 binary32))
accuracy	0.31869125976844204	(/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (*.f32 x (PI.f32))))
accuracy	0.32421875	(*.f32 (PI.f32) x)
accuracy	0.32421875	(*.f32 x (PI.f32))
accuracy	0.3942375488422101	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))

Samples

124.0ms

256×

valid

Compiler

Compiled 400 to 49 computations (87.8% saved)

Precisions

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

ival-mult: 46.0ms (43.4% of total)

ival-sin: 28.0ms (26.4% of total)

ival-div: 15.0ms (14.1% of total)

ival-neg: 10.0ms (9.4% of total)

const: 4.0ms (3.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series79.0ms (0.9%)

Memory

-29.2MiB live, 101.4MiB allocated

Counts

24 → 468

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	tau	@	0	((/ (sin (* tau (* (PI) x))) (* (/ (* (* x (PI)) tau) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* (PI) x))) (* tau (* (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 (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* x (PI)) (/ (* (* x (PI)) tau) (sin (* x (PI)))) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (/ (* (PI) (PI)) (sin (* (PI) x))) (* (* (* x x) tau) (/ (* (PI) (PI)) (sin (* (PI) x)))) (* tau (PI)))
13.0ms	tau	@	-inf	((/ (sin (* tau (* (PI) x))) (* (/ (* (* x (PI)) tau) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* (PI) x))) (* tau (* (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 (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* x (PI)) (/ (* (* x (PI)) tau) (sin (* x (PI)))) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (/ (* (PI) (PI)) (sin (* (PI) x))) (* (* (* x x) tau) (/ (* (PI) (PI)) (sin (* (PI) x)))) (* tau (PI)))
11.0ms	tau	@	inf	((/ (sin (* tau (* (PI) x))) (* (/ (* (* x (PI)) tau) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* (PI) x))) (* tau (* (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 (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* x (PI)) (/ (* (* x (PI)) tau) (sin (* x (PI)))) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (/ (* (PI) (PI)) (sin (* (PI) x))) (* (* (* x x) tau) (/ (* (PI) (PI)) (sin (* (PI) x)))) (* tau (PI)))
6.0ms	x	@	-inf	((/ (sin (* tau (* (PI) x))) (* (/ (* (* x (PI)) tau) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* (PI) x))) (* tau (* (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 (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* x (PI)) (/ (* (* x (PI)) tau) (sin (* x (PI)))) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (/ (* (PI) (PI)) (sin (* (PI) x))) (* (* (* x x) tau) (/ (* (PI) (PI)) (sin (* (PI) x)))) (* tau (PI)))
5.0ms	x	@	inf	((/ (sin (* tau (* (PI) x))) (* (/ (* (* x (PI)) tau) (sin (* x (PI)))) (* x (PI)))) (sin (* tau (* (PI) x))) (* tau (* (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 (* (* x (PI)) tau)) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau x) (PI))) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* x (PI)) (/ (* (* x (PI)) tau) (sin (* x (PI)))) (* (PI) (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (* tau x) (PI)) (/ (* (PI) (PI)) (sin (* (PI) x))) (* (* (* x x) tau) (/ (* (PI) (PI)) (sin (* (PI) x)))) (* tau (PI)))

simplify184.0ms (2.1%)

Memory

16.8MiB live, 328.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 024×	`lower-fma.f64`
14 024×	`lower-fma.f32`
9 048×	`lower-*.f64`
9 048×	`lower-*.f32`
4 078×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	7558
1	1323	7265
2	5252	7262
0	8467	6989

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 464

Calls

Call 1

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

rewrite216.0ms (2.5%)

Memory

-8.5MiB live, 390.7MiB allocated

Rules

4 478×	`lower-*.f64`
4 446×	`lower-*.f32`
4 010×	`lower-/.f64`
3 992×	`lower-/.f32`
2 256×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	314
0	94	314
1	337	312
2	2008	296
0	8473	294

Stop Event

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

Counts

24 → 1 264

Calls

Call 1

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

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

eval216.0ms (2.5%)

Memory: 11.0MiB live, 555.0MiB allocated
Compiler: Compiled 56 633 to 4 866 computations (91.4% saved)

prune161.0ms (1.9%)

Memory

29.0MiB live, 463.8MiB allocated

Pruning

75 alts after pruning (71 fresh and 4 done)

	Pruned	Kept	Total
New	2 295	46	2 341
Fresh	13	25	38
Picked	3	2	5
Done	1	2	3
Total	2 312	75	2 387

Accuracy

99.9%

Counts

2 387 → 75

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 x (PI.f32)) tau) (PI.f32))) x)
	97.1%	(/.f32 (.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) x) (PI.f32)) (.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x)
	97.5%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (PI.f32)))
	96.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	64.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x (PI.f32))))
	97.0%	(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau))) (sin.f32 (.f32 (PI.f32) x))) x)
	64.9%	(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x)
	96.2%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (neg.f32 x) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))))
	96.0%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))) (.f32 x (PI.f32))))
✓	98.1%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
	97.6%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 x)) (neg.f32 (PI.f32))))
▶	97.8%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
▶	96.8%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) (.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))))
	71.2%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) #s(approx (/ ( (PI) (PI)) (sin (* (PI) x))) (/.f32 (PI.f32) x)))))
	71.5%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 tau (.f32 (PI.f32) x))))
	64.8%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau x)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau (PI.f32))))
	32.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (fma.f32 (neg.f32 x) #s(literal 0 binary32) (*.f32 x (PI.f32)))))
	71.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 tau x)) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 tau x)) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) x)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) x)))
✓	98.1%	(.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)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
	64.7%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	64.6%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 x (PI.f32)) tau)) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
	64.5%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
	64.0%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	71.4%	(.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)))
	97.4%	(.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))))
	33.8%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (fma.f32 (neg.f32 x) #s(literal 0 binary32) (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	71.3%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	96.8%	(.f32 (.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	97.7%	(.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))))
▶	64.8%	(.f32 (.f32 #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	97.4%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 tau x)) (.f32 (*.f32 x (PI.f32)) (PI.f32))))
	71.4%	(.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)))
	64.7%	(.f32 #s(approx ( (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (/.f32 #s(literal 1 binary32) x))
	64.9%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	64.2%	#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)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	64.2%	#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)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (.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)))
▶	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.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)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.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)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.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 #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 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	64.1%	#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)))
	63.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	64.2%	#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)))
	7.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 (pow.f32 tau #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #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)))
	64.2%	#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)))
	64.2%	#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)))
✓	64.2%	#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)))
	64.2%	#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 (neg.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	64.2%	#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)))
	6.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (neg.f32 (-.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #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)))
	64.2%	#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)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	64.2%	#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)))
	64.2%	#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)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 x x) #s(literal 1 binary32)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 x x)) #s(literal 1 binary32)))
	64.2%	#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 (.f32 tau #s(literal -1/6 binary32)) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	63.9%	#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)))
	6.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal 1 binary32) (.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)))
	38.6%	#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)))
▶	63.9%	#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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
	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 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)))))
	4.4%	#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) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) x)) (.f32 (PI.f32) (PI.f32)))))
✓	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 972 to 1 896 computations (36.2% saved)

simplify115.0ms (1.3%)

Memory

-16.1MiB live, 150.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 180×	`lower-fma.f64`
4 174×	`lower-fma.f32`
4 092×	`lower-*.f64`
4 058×	`lower-*.f32`
1 856×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	499
0	110	488
1	228	486
2	587	486
3	1932	482
4	4631	482
5	6313	482
0	8044	477

Stop Event

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

Calls

Call 1

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

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

localize144.0ms (1.7%)

Memory

10.9MiB live, 325.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34603500976844204	(.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (PI.f32))
accuracy	0.37337875976844204	(.f32 (.f32 (.f32 x x) tau) (.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
accuracy	0.38119125976844204	(/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))
accuracy	0.3942375488422101	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) (.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))))
accuracy	0.32421875	(*.f32 (PI.f32) x)
accuracy	0.37890625	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
accuracy	0.4225387695368841	(.f32 (.f32 #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
accuracy	10.768046506937752	#s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	7.047433211140102	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.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)))
accuracy	21.1118193782924	(fma.f32 (fma.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))
accuracy	25.45213014898566	(fma.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)))))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	7.047433211140102	#s(approx (* (/ (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))))
accuracy	11.498545926674664	#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)))
accuracy	18.369825770803693	(fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))
accuracy	0.30439379884221013	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.32421875	(*.f32 (PI.f32) x)
accuracy	0.32421875	(*.f32 x (PI.f32))
accuracy	0.3942375488422101	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))

Samples

110.0ms

256×

valid

Compiler

Compiled 403 to 57 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 46.0ms (50.3% of total)

ival-div: 18.0ms (19.7% of total)

ival-sin: 12.0ms (13.1% of total)

const: 6.0ms (6.6% of total)

ival-add: 5.0ms (5.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory

-3.3MiB live, 113.5MiB allocated

Counts

21 → 372

Calls

Call 1

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

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

Calls

6 calls:

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

simplify210.0ms (2.4%)

Memory

11.5MiB live, 281.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 952×	`lower-fma.f64`
18 952×	`lower-fma.f32`
7 816×	`lower-*.f64`
7 816×	`lower-*.f32`
5 968×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	337	6790
1	1095	6447
2	4323	6166
0	8480	5914

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 371

Calls

Call 1

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

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

rewrite167.0ms (1.9%)

Memory

-10.7MiB live, 263.8MiB allocated

Rules

4 290×	`lower-fma.f64`
4 284×	`lower-fma.f32`
4 174×	`lower-*.f64`
4 140×	`lower-/.f64`
4 140×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	347
0	110	334
1	382	334
2	2218	313
0	8296	301

Stop Event

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

Counts

21 → 702

Calls

Call 1

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

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

eval192.0ms (2.2%)

Memory: 43.4MiB live, 320.4MiB allocated
Compiler: Compiled 32 581 to 3 370 computations (89.7% saved)

prune153.0ms (1.8%)

Memory

-31.3MiB live, 288.0MiB allocated

Pruning

87 alts after pruning (78 fresh and 9 done)

	Pruned	Kept	Total
New	1 346	27	1 373
Fresh	15	51	66
Picked	0	5	5
Done	0	4	4
Total	1 361	87	1 448

Accuracy

99.9%

Counts

1 448 → 87

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(/.f32 (.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) x) (PI.f32)) (.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x)
	97.5%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (PI.f32)))
	96.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	98.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 (.f32 x (PI.f32)) tau) (.f32 (neg.f32 (PI.f32)) x)))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))
	97.0%	(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau))) (sin.f32 (.f32 (PI.f32) x))) x)
	96.2%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (neg.f32 x) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))))
	96.0%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))) (.f32 x (PI.f32))))
✓	98.1%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
	97.6%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 x)) (neg.f32 (PI.f32))))
✓	97.8%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
	96.8%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 x x) tau)))))
✓	96.8%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) (.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))))
	33.1%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) (.f32 #s(approx (/ (PI) (sin (* x (PI)))) (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) (*.f32 x x)) (PI.f32)) (PI.f32) #s(literal 1 binary32)) x)) (PI.f32)))))
	71.1%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) (.f32 #s(approx (/ (PI) (sin (* x (PI)))) (/.f32 #s(literal 1 binary32) x)) (PI.f32)))))
	71.2%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) #s(approx (/ ( (PI) (PI)) (sin (* (PI) x))) (/.f32 (PI.f32) x)))))
	71.5%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 tau (.f32 (PI.f32) x))))
	64.8%	(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau x)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 tau (PI.f32))))
	32.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (fma.f32 (neg.f32 x) #s(literal 0 binary32) (*.f32 x (PI.f32)))))
	71.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 tau x)) (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 tau x)) (sqrt.f32 (PI.f32)))) (.f32 (PI.f32) x)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) x)))
✓	98.1%	(.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)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
	64.7%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	64.6%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 x (PI.f32)) tau)) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
	64.0%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	71.4%	(.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)))
	97.4%	(.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))))
	33.8%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (fma.f32 (neg.f32 x) #s(literal 0 binary32) (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	71.3%	(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	96.8%	(.f32 (.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (.f32 tau (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	64.7%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
✓	64.8%	(.f32 (.f32 #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
	64.7%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
	71.4%	(.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)))
	64.7%	(.f32 #s(approx ( (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (/.f32 #s(literal 1 binary32) x))
	64.9%	#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	64.2%	#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)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	64.2%	#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)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (.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)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.f32 (PI.f32)))))) (.f32 x x) #s(literal 1 binary32)))
✓	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.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)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.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)))
	24.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)) (.f32 x x) #s(literal 1 binary32)))
	64.1%	#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)))
	6.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (.f32 (-.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (fma.f32 tau tau #s(literal -1 binary32))) (.f32 x x) #s(literal 1 binary32)))
	7.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	63.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	7.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 (pow.f32 tau #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #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)))
	64.2%	#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)))
✓	64.2%	#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)))
	64.2%	#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)))
	64.2%	#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 (neg.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	64.2%	#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)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (PI.f32)) (.f32 x x) #s(literal 1 binary32)))
	64.2%	#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)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x x)) #s(literal 1 binary32)))
	64.2%	#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)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	64.2%	#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)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 x x) #s(literal 1 binary32)))
	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 x x)) #s(literal 1 binary32)))
	63.9%	#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 (.f32 tau #s(literal -1/6 binary32)) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	6.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal 1 binary32) (.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)))
	38.6%	#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)))
	63.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* tau tau) (* -1/6 (* (PI) (PI))))) (* x x)) 1) (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))))
	4.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* tau tau) (* -1/6 (* (PI) (PI))))) (* x x)) 1) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)))))
✓	63.9%	#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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
	63.9%	#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 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
	63.9%	#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 x (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x #s(literal 1 binary32))))
	63.9%	#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 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) x #s(literal 1 binary32))))
	63.9%	#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) (PI.f32)) (*.f32 x (PI.f32))) x #s(literal 1 binary32))))
	63.9%	#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) (PI.f32)) x)) x #s(literal 1 binary32))))
	63.9%	#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 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x #s(literal 1 binary32))))
	63.9%	#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 x) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	65.3%	#s(approx (* (/ (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 x (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))))
	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) #s(approx (+ (* (* (* (* (PI) (PI)) -1/6) x) x) 1) (.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32)) (PI.f32)) x))))
✓	64.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 539 to 1 680 computations (63% saved)

regimes168.0ms (2%)

Memory

8.1MiB live, 276.8MiB allocated

Counts

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

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

Calls

4 calls:

43.0ms	tau
41.0ms	(*.f32 x (PI.f32))
38.0ms	x
37.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes99.0ms (1.1%)

Memory

25.8MiB live, 154.4MiB allocated

Counts

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

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

Calls

4 calls:

27.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
24.0ms	x
24.0ms	(*.f32 x (PI.f32))
20.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes97.0ms (1.1%)

Memory

-7.1MiB live, 148.7MiB allocated

Counts

79 → 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 (+ (* (* (* (* (PI) (PI)) -1/6) x) x) 1) (.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32)) (PI.f32)) 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 x x) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) 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 (PI.f32) (.f32 (*.f32 #s(literal -1/6 binary32) (PI.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 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x (PI.f32))) 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 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) 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 x (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) 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 (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)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 #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 (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* tau tau) (* -1/6 (* (PI) (PI))))) (* x x)) 1) (.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (.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 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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 (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* 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 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 #s(literal -1/6 binary32) (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 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #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 (neg.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (PI.f32))) #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)))) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.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)))) (fma.f32 (fma.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 (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (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 (.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)))) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.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 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (.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 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* tau tau) (* -1/6 (* (PI) (PI))))) (* x x)) 1) (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.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) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (PI.f32)) #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 (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.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)))
(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal 1 binary32) (.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)))
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(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 tau (.f32 (PI.f32) x))))
(.f32 #s(approx ( (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (/.f32 #s(literal 1 binary32) x))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
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(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
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(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) #s(approx (/ ( (PI) (PI)) (sin (* (PI) x))) (/.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) (.f32 #s(approx (/ (PI) (sin (* x (PI)))) (/.f32 #s(literal 1 binary32) x)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.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 (neg.f32 (-.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #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)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 tau (.f32 (.f32 x x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.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))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x (PI.f32))))
(/.f32 #s(approx (sin (* tau (* (PI) x))) (.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))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 x (PI.f32)) tau)) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 (pow.f32 tau #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #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)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) (.f32 #s(approx (/ (PI) (sin (* x (PI)))) (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) (*.f32 x x)) (PI.f32)) (PI.f32) #s(literal 1 binary32)) x)) (PI.f32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))

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

Calls

4 calls:

24.0ms	(*.f32 x (PI.f32))
23.0ms	tau
23.0ms	x
19.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes90.0ms (1%)

Memory

-8.0MiB live, 151.1MiB allocated

Counts

78 → 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 (+ (* (* (* (* (PI) (PI)) -1/6) x) x) 1) (.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32)) (PI.f32)) 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 x x) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) 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 (PI.f32) (.f32 (*.f32 #s(literal -1/6 binary32) (PI.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 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x (PI.f32))) 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 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) 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 x (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) 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 (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)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 #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 (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* tau tau) (* -1/6 (* (PI) (PI))))) (* x x)) 1) (.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(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (.f32 tau #s(literal -1/6 binary32)) tau) (.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 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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 (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* 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 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 #s(literal -1/6 binary32) (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 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #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 (neg.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (PI.f32))) #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)))) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.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)))) (fma.f32 (fma.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 (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (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 (.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)))) (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.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 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (.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 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (* (PI) (PI))) (* (* tau tau) (* -1/6 (* (PI) (PI))))) (* x x)) 1) (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.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) (+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 x (PI.f32)) #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 (* tau (* (PI) x))) (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.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)))
(/.f32 #s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal 1 binary32) (.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)))) (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 (.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 #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 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 tau (.f32 (PI.f32) x))))
(.f32 #s(approx ( (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (sin (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (/.f32 #s(literal 1 binary32) x))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (.f32 #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) x) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (PI))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)))) #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 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (fma.f32 tau tau #s(literal -1 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) #s(approx (/ ( (PI) (PI)) (sin (* (PI) x))) (/.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) (.f32 #s(approx (/ (PI) (sin (* x (PI)))) (/.f32 #s(literal 1 binary32) x)) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.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 (neg.f32 (-.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #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)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 tau (.f32 (.f32 x x) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.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))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x (PI.f32))))
(/.f32 #s(approx (sin (* tau (* (PI) x))) (.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))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 x (PI.f32)) tau)) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 (pow.f32 tau #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #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)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (* (/ (* (neg (PI)) x) (sin (* (PI) x))) (* (* (neg x) tau) (PI))) (.f32 (.f32 (.f32 x x) tau) (.f32 #s(approx (/ (PI) (sin (* x (PI)))) (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) (*.f32 x x)) (PI.f32)) (PI.f32) #s(literal 1 binary32)) x)) (PI.f32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))

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

Calls

4 calls:

23.0ms	(*.f32 x (PI.f32))
22.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
21.0ms	x
20.0ms	tau

Results

Accuracy	Segments	Branch
71.5%	1	`x`
71.5%	1	`tau`
71.5%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
71.5%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes58.0ms (0.7%)

Memory

22.1MiB live, 101.5MiB allocated

Counts

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

Calls

4 calls:

15.0ms	x
14.0ms	tau
13.0ms	(*.f32 x (PI.f32))
13.0ms	(.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
65.3%	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))))`
65.3%	1	`x`
65.3%	1	`(*.f32 x (PI.f32))`
65.3%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes48.0ms (0.6%)

Memory

-29.7MiB live, 85.3MiB allocated

Accuracy

Total -19.6b remaining (-171.3%)

Threshold costs -19.6b (-171.3%)

Counts

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

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

Calls

4 calls:

12.0ms	x
12.0ms	tau
11.0ms	(*.f32 x (PI.f32))
11.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify46.0ms (0.5%)

Memory

30.9MiB live, 72.7MiB allocated

Algorithm

1×	egg-herbie

Rules

222×	`distribute-lft-neg-in-binary32-*.f32-neg.f32`
128×	`unsub-neg-binary32--.f32-neg.f32-+.f32`
108×	`distribute-neg-in-binary32-+.f32-neg.f32`
106×	`neg-mul-1-binary32-*.f32-neg.f32`
104×	`neg-sub0-binary32--.f32-neg.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	168
1	100	168
2	136	168
3	187	164
4	243	164
5	339	164
6	456	164
7	568	164
8	615	164
9	646	164
10	673	164
11	690	164
12	696	164
13	697	164

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.7s (19.8%)

Memory

-255.8MiB live, 827.3MiB allocated

Rules

20 196×	`lower-fma.f64`
20 196×	`lower-fma.f32`
16 966×	`lower-fma.f64`
16 966×	`lower-fma.f32`
14 024×	`lower-fma.f64`

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	42	250
0	75	246
1	258	246
2	1454	232
0	8108	232
0	10	55
0	18	55
1	63	55
2	483	53
3	6485	53
0	8114	53
0	400	7558
1	1323	7265
2	5252	7262
0	8467	6989
0	360	7024
1	1197	6881
2	4658	6734
0	8014	6518
0	55	314
0	94	314
1	337	312
2	2008	296
0	8473	294
0	69	347
0	110	334
1	382	334
2	2218	313
0	8296	301

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	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 370 to 179 computations (51.6% saved)

preprocess71.0ms (0.8%)

Memory

-9.1MiB live, 114.8MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 724 to 316 computations (56.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	63	168
1	100	168
2	136	168
3	187	164
4	243	164
5	339	164
6	456	164
7	568	164
8	615	164
9	646	164
10	673	164
11	690	164
12	696	164
13	697	164

Iter	Nodes	Cost
0	63	168
1	100	168
2	136	168
3	187	164
4	243	164
5	339	164
6	456	164
7	568	164
8	615	164
9	646	164
10	673	164
11	690	164
12	696	164
13	697	164

start0.0ms (0%)

analyze20.0ms (0.2%)

sample1.3s (15.6%)

explain122.0ms (1.4%)

preprocess72.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify23.0ms (0.3%)

localize39.0ms (0.5%)

series28.0ms (0.3%)

simplify217.0ms (2.5%)

rewrite165.0ms (1.9%)

eval93.0ms (1.1%)

prune75.0ms (0.9%)

simplify96.0ms (1.1%)

localize104.0ms (1.2%)

series65.0ms (0.8%)

simplify299.0ms (3.5%)

rewrite313.0ms (3.6%)

eval650.0ms (7.6%)

prune305.0ms (3.5%)

simplify153.0ms (1.8%)

localize154.0ms (1.8%)

series79.0ms (0.9%)

simplify184.0ms (2.1%)

rewrite216.0ms (2.5%)

eval216.0ms (2.5%)

prune161.0ms (1.9%)

simplify115.0ms (1.3%)

localize144.0ms (1.7%)

series43.0ms (0.5%)

simplify210.0ms (2.4%)

rewrite167.0ms (1.9%)

eval192.0ms (2.2%)

prune153.0ms (1.8%)

regimes168.0ms (2%)

regimes99.0ms (1.1%)

regimes97.0ms (1.1%)

regimes90.0ms (1%)

regimes58.0ms (0.7%)

regimes48.0ms (0.6%)

simplify46.0ms (0.5%)

soundness1.7s (19.8%)

preprocess71.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	63	168
1	100	168
2	136	168
3	187	164
4	243	164
5	339	164
6	456	164
7	568	164
8	615	164
9	646	164
10	673	164
11	690	164
12	696	164
13	697	164