Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze21.0ms (0.2%)

Memory

-7.6MiB live, 31.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.6s (13%)

Memory

38.4MiB live, 2 034.1MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 882.0ms

ival-sin: 243.0ms (27.5% of total)

ival-mult: 192.0ms (21.8% of total)

const: 155.0ms (17.6% of total)

ival-div: 133.0ms (15.1% of total)

ival-<=: 93.0ms (10.5% of total)

ival-pi: 33.0ms (3.7% of total)

ival-and: 21.0ms (2.4% of total)

exact: 9.0ms (1% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain185.0ms (1.5%)

Memory

-38.1MiB live, 316.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.9765286445617676 1.0308988094329834)	`(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	3
-	0	253

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	2
-	0	0	253

Precision?

1.0

Recall?

0.3333333333333333

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 151 to 34 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sin: 13.0ms (42.2% of total)

ival-mult: 9.0ms (29.2% of total)

ival-div: 6.0ms (19.5% of total)

ival-pi: 2.0ms (6.5% of total)

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

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

preprocess79.0ms (0.6%)

Memory

15.9MiB live, 90.9MiB 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 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) tau) (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))

Symmetry

(abs tau)

(abs x)

Compiler

Compiled 23 to 10 computations (56.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Compiler

Compiled 23 to 10 computations (56.5% saved)

simplify29.0ms (0.2%)

Memory

-0.3MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.3%)

Memory

12.2MiB live, 87.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.359375	(*.f32 x (PI.f32))
accuracy	0.3674688180802656	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.39357377930532605	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.4091987793053261	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

26.0ms

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: 6.0ms (33.2% of total)

ival-mult: 5.0ms (27.6% of total)

ival-pi: 3.0ms (16.6% of total)

ival-div: 3.0ms (16.6% of total)

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

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

series32.0ms (0.3%)

Memory

-29.8MiB live, 52.0MiB 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 1 (taylor 0 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 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) (taylor 0 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 (+ 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)))))))))) (taylor 0 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 (+ 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)))))))))))))) (taylor 0 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)))) (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)))) (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)))) (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)))) (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 (* 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 (/ (* (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>) () ())) ())
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#s(alt (* tau (* x (PI))) (taylor inf tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor inf tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor inf tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor inf tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (taylor 0 x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) (taylor 0 x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) (taylor 0 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 (/ (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 (/ (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 0 x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor 0 x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor 0 x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor 0 x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())

Calls

30 calls:

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

simplify312.0ms (2.5%)

Memory

40.2MiB live, 260.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1582
1	620	1562
2	2413	1538
3	4145	1538
4	4880	1538
5	5560	1538
6	5950	1538
7	5981	1538
8	5981	1538
0	8826	1486

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite207.0ms (1.7%)

Memory

-6.2MiB live, 247.1MiB 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 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (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 #s(literal 1 binary32) (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #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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(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) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(.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 (PI.f32) #s(literal 2/3 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 (PI.f32) #s(literal 2/3 binary32)) x) (pow.f32 (PI.f32) #s(literal 2/9 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(.f32 (.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) x) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 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 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) x) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) x) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (*.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 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (.f32 (cbrt.f32 (PI.f32)) x) #s(literal 1 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 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 (PI.f32) #s(literal 2/3 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))

eval90.0ms (0.7%)

Memory: 12.4MiB live, 235.6MiB allocated
Compiler: Compiled 24 386 to 2 307 computations (90.5% saved)

prune245.0ms (2%)

Memory

3.9MiB live, 473.1MiB allocated

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	979	34	1 013
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	980	34	1 014

Accuracy

99.7%

Counts

1 014 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) (neg.f32 x))
▶	66.9%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
	97.4%	(/.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)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
▶	97.5%	(/.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)))
	66.9%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)))) #s(literal 2 binary32))
	97.0%	(/.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) x))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)))
	97.1%	(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32))))
	97.5%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (neg.f32 (PI.f32)) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))))
	97.1%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))
	85.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	71.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
▶	97.1%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
	97.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	97.2%	(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	80.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.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))))
▶	97.7%	(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x))))
	84.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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 (fma.f32 (.f32 tau tau) (.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau tau)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	79.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	64.8%	#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)))
	97.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) tau)))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
▶	64.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 652 to 878 computations (46.9% saved)

simplify142.0ms (1.1%)

Memory

5.5MiB live, 184.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3 462×	`lower-/.f64`
3 454×	`lower-*.f64`
3 450×	`lower-/.f32`
3 428×	`lower-*.f32`
1 838×	`lower-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	381
0	71	385
1	168	385
2	564	379
3	2389	379
4	4860	379
0	8303	379

Stop Event

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

Calls

Call 1

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

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

localize169.0ms (1.4%)

Memory

-19.0MiB live, 399.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.359375	(*.f32 (PI.f32) x)
accuracy	0.4111900879159782	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
accuracy	0.4248237793053261	(.f32 (.f32 (PI.f32) x) (PI.f32))
accuracy	10.176071618189527	(-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x x))))
accuracy	0.33984375	(.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy	0.359375	(*.f32 (PI.f32) x)
accuracy	0.36746881808026566	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4059562988422102	(/.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)))
accuracy	0.36746881808026566	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.39681625976844204	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)))
accuracy	0.4225387695368841	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
accuracy	0.4248237793053261	(.f32 (.f32 (PI.f32) x) (PI.f32))
accuracy	11.511971425197743	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.359375	(*.f32 (PI.f32) x)
accuracy	0.36746881808026566	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.39357377930532605	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x))
accuracy	0.4394913086106522	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x)))

Samples

108.0ms

256×

valid

Compiler

Compiled 386 to 42 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 33.0ms (36.6% of total)

ival-sin: 23.0ms (25.5% of total)

ival-cos: 15.0ms (16.6% of total)

ival-div: 12.0ms (13.3% of total)

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

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

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

ival-add: 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)

series63.0ms (0.5%)

Memory

28.5MiB live, 183.6MiB allocated

Counts

19 → 420

Calls

Call 1

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

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) 1) (taylor 0 x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* -1 (* (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 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))) 1) (taylor 0 x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* (pow x 2) (+ (* -1 (* (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 (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) 1) (taylor 0 x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor -inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
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#s(alt (* tau (* x (pow (PI) 2))) (taylor 0 x) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (patch (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
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#s(alt (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8)))))))))))))))) (taylor 0 x) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (patch (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (taylor inf x) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (patch (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
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#s(alt (/ (sin (* tau (* x (PI)))) x) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) #<representation binary32>) () ())) ())
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#s(alt (/ (sin (* tau (* x (PI)))) x) (taylor -inf tau) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) #<representation binary32>) () ())) ())
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#s(alt (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))) (taylor 0 x) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) #<representation binary32>) () ())) ())
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#s(alt (/ (sin (* tau (* x (PI)))) x) (taylor inf x) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) #<representation binary32>) () ())) ())
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#s(alt (/ (sin (* tau (* x (PI)))) x) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) x) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) x) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) x) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) #<representation binary32>) () ())) ())
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#s(alt (+ (* 1/2 (* (pow x 2) (- (* 1/24 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* 1/24 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau))))) (* 1/2 (/ (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))) (* tau (pow (PI) 2))))) (taylor 0 x) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))) (* tau (pow (PI) 2)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* -1/720 (/ (* (pow (PI) 4) (pow (- tau 1) 6)) tau)) (* -1/720 (/ (* (pow (PI) 4) (pow (+ 1 tau) 6)) tau))))) (* 1/2 (- (* 1/24 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* 1/24 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau))))))) (taylor 0 x) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))) (* tau (pow (PI) 2)))) (* (pow x 2) (+ (* 1/2 (- (* 1/24 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* 1/24 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* 1/40320 (/ (* (pow (PI) 6) (pow (- tau 1) 8)) tau)) (* 1/40320 (/ (* (pow (PI) 6) (pow (+ 1 tau) 8)) tau))))) (* 1/2 (- (* -1/720 (/ (* (pow (PI) 4) (pow (- tau 1) 6)) tau)) (* -1/720 (/ (* (pow (PI) 4) (pow (+ 1 tau) 6)) tau))))))))) (taylor 0 x) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf x) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf x) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf x) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf x) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor -inf x) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor -inf x) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor -inf x) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor -inf x) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (* tau (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))) (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau) (taylor 0 tau) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (* tau (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))) (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))))) tau) (taylor 0 tau) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (* tau (+ (* 1/2 (* tau (- (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* -1/6 (* x (* (PI) (sin (* -1 (* x (PI)))))))))) (* 1/2 (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))))))) tau) (taylor 0 tau) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf tau) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf tau) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf tau) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf tau) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor -inf tau) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor -inf tau) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor -inf tau) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor -inf tau) (#s(alt (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2))))) (taylor 0 x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2))))) (taylor 0 x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2))))) (taylor 0 x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (+ (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* (pow x 2) (- (* 1/40320 (* (pow (PI) 8) (pow (- tau 1) 8))) (* 1/40320 (* (pow (PI) 8) (pow (+ 1 tau) 8)))))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2))))) (taylor 0 x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (taylor inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (taylor inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (taylor inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (taylor inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (taylor -inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (taylor -inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (taylor -inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (taylor -inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (taylor 0 tau) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI)))) (taylor 0 tau) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) #<representation binary32>) () ())) ())
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#s(alt (+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI))))))))) (taylor 0 tau) (#s(alt (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (patch (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 (PI.f32) x) (patch (.f32 (PI.f32) x) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 (PI.f32) x) (patch (.f32 (PI.f32) x) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 (PI.f32) x) (patch (.f32 (PI.f32) x) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor 0 x) (#s(alt (.f32 (.f32 (PI.f32) x) (PI.f32)) (patch (.f32 (.f32 (PI.f32) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor 0 x) (#s(alt (.f32 (.f32 (PI.f32) x) (PI.f32)) (patch (.f32 (.f32 (PI.f32) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor 0 x) (#s(alt (.f32 (.f32 (PI.f32) x) (PI.f32)) (patch (.f32 (.f32 (PI.f32) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor 0 x) (#s(alt (.f32 (.f32 (PI.f32) x) (PI.f32)) (patch (.f32 (.f32 (PI.f32) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor inf x) (#s(alt (.f32 (.f32 (PI.f32) x) (PI.f32)) (patch (.f32 (.f32 (PI.f32) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor inf x) (#s(alt (.f32 (.f32 (PI.f32) x) (PI.f32)) (patch (.f32 (.f32 (PI.f32) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor inf x) (#s(alt (.f32 (.f32 (PI.f32) x) (PI.f32)) (patch (.f32 (.f32 (PI.f32) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor inf x) (#s(alt (.f32 (.f32 (PI.f32) x) (PI.f32)) (patch (.f32 (.f32 (PI.f32) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (.f32 (.f32 (PI.f32) x) (PI.f32)) (patch (.f32 (.f32 (PI.f32) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (.f32 (.f32 (PI.f32) x) (PI.f32)) (patch (.f32 (.f32 (PI.f32) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (.f32 (.f32 (PI.f32) x) (PI.f32)) (patch (.f32 (.f32 (PI.f32) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (.f32 (.f32 (PI.f32) x) (PI.f32)) (patch (.f32 (.f32 (PI.f32) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor 0 tau) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor 0 tau) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor 0 tau) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor 0 tau) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor inf tau) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor inf tau) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor inf tau) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor inf tau) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf tau) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf tau) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf tau) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf tau) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor 0 x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor 0 x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor 0 x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor 0 x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())

Calls

105 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2))
4.0ms	tau	@	-inf	(* (* (PI) x) (- tau 1))
2.0ms	x	@	inf	(/ (sin (* tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x)))
2.0ms	tau	@	-inf	(/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2))
1.0ms	tau	@	inf	(/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2))

simplify225.0ms (1.8%)

Memory

-41.0MiB live, 341.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 170×	`lower-fma.f64`
9 170×	`lower-fma.f32`
5 826×	`lower-*.f64`
5 826×	`lower-*.f32`
4 526×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	658	8156
1	2232	7803
2	5368	7520
0	8157	7282

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
-1
(- (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) 1)
(- (* (pow x 2) (+ (* -1 (* (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 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))) 1)
(- (* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* (pow x 2) (+ (* -1 (* (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 (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) 1)
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (- (* (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 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* (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 (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 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))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(- (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (* -1 (/ (sin (* x (PI))) (* x (PI)))))
(- (* (pow tau 2) (- (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))) (* -1 (/ (sin (* x (PI))) (* x (PI)))))
(- (* (pow tau 2) (- (* (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)))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))) (* -1 (/ (sin (* x (PI))) (* x (PI)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* x (PI))))
(* x (+ (* -1 (* tau (PI))) (* -1 (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))))
(* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))) (* -1 (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
(* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7)))))))) (* -1 (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))))))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (* tau (sin (* x (PI)))))
(* tau (+ (* -1 (sin (* x (PI)))) (* 1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))
(* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI)))))))))))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
-1
(- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1)
(- (* (pow x 2) (+ (* -1/120 (* (pow x 2) (pow (PI) 4))) (* 1/6 (pow (PI) 2)))) 1)
(- (* (pow x 2) (+ (* 1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/120 (pow (PI) 4)) (* 1/5040 (* (pow x 2) (pow (PI) 6))))))) 1)
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
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(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (+ (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* (pow x 2) (- (* 1/40320 (* (pow (PI) 8) (pow (- tau 1) 8))) (* 1/40320 (* (pow (PI) 8) (pow (+ 1 tau) 8)))))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(- (cos (* -1 (* x (PI)))) (cos (* x (PI))))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* tau (- (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
1
(+ 1 (* -1/2 (* (pow x 2) (* (pow (PI) 2) (pow (- tau 1) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* 1/24 (* (pow x 2) (* (pow (PI) 4) (pow (- tau 1) 4)))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (* (pow (PI) 6) (pow (- tau 1) 6)))) (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))))))))
(cos (* x (* (PI) (- tau 1))))
(cos (* x (* (PI) (- tau 1))))
(cos (* x (* (PI) (- tau 1))))
(cos (* x (* (PI) (- tau 1))))
(cos (* x (* (PI) (- tau 1))))
(cos (* x (* (PI) (- tau 1))))
(cos (* x (* (PI) (- tau 1))))
(cos (* x (* (PI) (- tau 1))))
(cos (* -1 (* x (PI))))
(+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(cos (* x (* (PI) (- tau 1))))
(cos (* x (* (PI) (- tau 1))))
(cos (* x (* (PI) (- tau 1))))
(cos (* x (* (PI) (- tau 1))))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(* x (* (PI) (- tau 1)))
(* x (* (PI) (- tau 1)))
(* x (* (PI) (- tau 1)))
(* x (* (PI) (- tau 1)))
(* x (* (PI) (- tau 1)))
(* x (* (PI) (- tau 1)))
(* x (* (PI) (- tau 1)))
(* x (* (PI) (- tau 1)))
(* x (* (PI) (- tau 1)))
(* x (* (PI) (- tau 1)))
(* x (* (PI) (- tau 1)))
(* x (* (PI) (- tau 1)))
(* -1 (* x (PI)))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(* tau (* x (PI)))
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))

Outputs
-1
#s(literal -1 binary32)
(- (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) 1)
(fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal -1 binary32))
(- (* (pow x 2) (+ (* -1 (* (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 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))) 1)
(fma.f32 (-.f32 (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal -1 binary32))
(- (* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* (pow x 2) (+ (* -1 (* (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 (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) 1)
(fma.f32 (fma.f32 (neg.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))))) (.f32 x x) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal -1 binary32))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (sin (* x (PI))) (* x (PI))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 x) (PI.f32)))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))))
(-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) x)))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 x) (PI.f32))))
(+ (* -1 (/ (sin (* x (PI))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (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 (neg.f32 x) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (neg.f32 (PI.f32)) (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 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 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* (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 (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
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(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (+ (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* (pow x 2) (- (* 1/40320 (* (pow (PI) 8) (pow (- tau 1) 8))) (* 1/40320 (* (pow (PI) 8) (pow (+ 1 tau) 8)))))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/40320 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32))) (-.f32 (pow.f32 (-.f32 tau #s(literal 1 binary32)) #s(literal 8 binary32)) (pow.f32 (-.f32 tau #s(literal -1 binary32)) #s(literal 8 binary32)))) (.f32 x x) (.f32 (.f32 #s(literal -1/720 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (-.f32 (pow.f32 (-.f32 tau #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 (-.f32 tau #s(literal -1 binary32)) #s(literal 6 binary32))))) (.f32 x x) (.f32 (.f32 #s(literal 1/24 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (-.f32 (pow.f32 (-.f32 tau #s(literal 1 binary32)) #s(literal 4 binary32)) (pow.f32 (-.f32 tau #s(literal -1 binary32)) #s(literal 4 binary32))))) (.f32 x x) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32)))))) (*.f32 x x))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* -1 (* x (PI)))) (cos (* x (PI))))
#s(literal 0 binary32)
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(fma.f32 (.f32 (.f32 (PI.f32) x) (+.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) tau #s(literal 0 binary32))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(fma.f32 (fma.f32 #s(literal 0 binary32) tau (.f32 (.f32 (PI.f32) x) (+.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))) tau #s(literal 0 binary32))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* tau (- (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (+.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))) tau #s(literal 0 binary32)) tau (.f32 (.f32 (PI.f32) x) (+.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))) tau #s(literal 0 binary32))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (* (pow x 2) (* (pow (PI) 2) (pow (- tau 1) 2)))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) (*.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* 1/24 (* (pow x 2) (* (pow (PI) 4) (pow (- tau 1) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/24 binary32) (.f32 x x)) (.f32 (pow.f32 (-.f32 tau #s(literal 1 binary32)) #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal 1 binary32))))) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (* (pow (PI) 6) (pow (- tau 1) 6)))) (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal 1 binary32))) (.f32 (fma.f32 (.f32 #s(literal 1/24 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (pow.f32 (-.f32 tau #s(literal 1 binary32)) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/720 binary32) (.f32 x x)) (.f32 (pow.f32 (-.f32 tau #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* -1 (* x (PI))))
(cos.f32 (*.f32 (PI.f32) x))
(+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(fma.f32 (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) tau (cos.f32 (.f32 (PI.f32) x)))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 (.f32 (cos.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) tau (cos.f32 (.f32 (PI.f32) x)))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (cos.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 (.f32 (neg.f32 x) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x)))))) tau (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) tau (cos.f32 (.f32 (PI.f32) x)))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(* x (* (PI) (- tau 1)))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* x (* (PI) (- tau 1)))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* x (* (PI) (- tau 1)))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* x (* (PI) (- tau 1)))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* x (* (PI) (- tau 1)))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* x (* (PI) (- tau 1)))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* x (* (PI) (- tau 1)))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* x (* (PI) (- tau 1)))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* x (* (PI) (- tau 1)))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* x (* (PI) (- tau 1)))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* x (* (PI) (- tau 1)))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* x (* (PI) (- tau 1)))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* -1 (* x (PI)))
(*.f32 (neg.f32 x) (PI.f32))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(.f32 (.f32 (PI.f32) (-.f32 x (/.f32 x tau))) tau)
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(.f32 (.f32 (PI.f32) (-.f32 x (/.f32 x tau))) tau)
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(.f32 (.f32 (PI.f32) (-.f32 x (/.f32 x tau))) tau)
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(.f32 (.f32 (PI.f32) (-.f32 x (/.f32 x tau))) tau)
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(.f32 (.f32 (PI.f32) (-.f32 x (/.f32 x tau))) tau)
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(.f32 (.f32 (PI.f32) (-.f32 x (/.f32 x tau))) tau)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(* x (pow (PI) 2))
(.f32 (.f32 (PI.f32) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)

rewrite203.0ms (1.6%)

Memory

8.9MiB live, 324.7MiB allocated

Rules

6 042×	`lower-/.f64`
6 030×	`lower-/.f32`
3 626×	`lower-*.f64`
3 600×	`lower-*.f32`
2 132×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	257
0	71	261
1	299	255
2	2176	241
0	8190	241

Stop Event

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

Counts

19 → 1 494

Calls

Call 1

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

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

eval220.0ms (1.8%)

Memory: 23.9MiB live, 446.9MiB allocated
Compiler: Compiled 67 755 to 3 738 computations (94.5% saved)

prune490.0ms (4%)

Memory

-0.1MiB live, 804.7MiB allocated

Pruning

55 alts after pruning (54 fresh and 1 done)

	Pruned	Kept	Total
New	2 373	37	2 410
Fresh	12	17	29
Picked	4	1	5
Done	0	0	0
Total	2 389	55	2 444

Accuracy

99.9%

Counts

2 444 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (.f32 (.f32 x (PI.f32)) (PI.f32))) (.f32 #s(literal 2 binary32) (*.f32 tau x)))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	64.3%	(/.f32 (-.f32 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)) (.f32 (.f32 #s(literal 2 binary32) (.f32 tau x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 tau x)) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)))
	66.9%	(/.f32 (-.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (.f32 (neg.f32 (PI.f32)) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
	66.8%	(/.f32 (-.f32 (cos.f32 (/.f32 (fma.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))) (pow.f32 (.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32))) (fma.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32))) (-.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
	66.9%	(/.f32 (-.f32 (cos.f32 (/.f32 (.f32 (fma.f32 tau tau #s(literal -1 binary32)) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
	66.9%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (.f32 tau x)) #s(literal 2 binary32)))
	51.7%	(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
	33.4%	(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) #s(literal 1 binary32)) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.4%	(/.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))
▶	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32))))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (*.f32 x (PI.f32)) (PI.f32)) tau))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	66.9%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)))) #s(literal 2 binary32))
	97.0%	(/.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) x))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (.f32 (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (PI.f32)) x))
▶	97.6%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
	63.7%	(/.f32 #s(approx (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 x x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
	63.9%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	97.5%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))))
	97.1%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))
▶	85.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	71.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
▶	66.9%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))))
	97.3%	(.f32 (.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (PI.f32)) x))) (sin.f32 (*.f32 (PI.f32) x)))
	97.4%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	85.0%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)))) (.f32 tau tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (.f32 (PI.f32) x)))
	80.0%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x)))
	79.9%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 (PI.f32) x)))
	96.9%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) x)))
	64.9%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
	96.3%	(.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 tau #s(literal 1 binary32)) x (fma.f32 tau x x))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) (-.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) x) (fma.f32 tau x x))) #s(literal 1/2 binary32)))) (.f32 (.f32 (.f32 tau (*.f32 x (PI.f32))) x) (PI.f32))))
	96.4%	(.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 tau #s(literal 1 binary32)) x (fma.f32 tau x x))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) (-.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) x) (fma.f32 tau x x))) #s(literal 1/2 binary32)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)))
	97.3%	(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 tau (*.f32 (PI.f32) x))))
	85.4%	(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (neg (PI)) x)) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x))))
	78.3%	(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (fma.f32 (.f32 tau tau) tau tau))) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 (PI.f32) x))))
	64.9%	(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (neg.f32 tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))))
	63.8%	#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) (.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 (*.f32 (PI.f32) (PI.f32)) tau)) #s(literal 1/2 binary32)))
▶	6.3%	#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
	79.4%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	64.8%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	84.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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 (fma.f32 (.f32 tau tau) (.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau tau)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	79.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	97.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) tau)))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
✓	64.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 990 to 1 619 computations (45.9% saved)

simplify114.0ms (0.9%)

Memory

-0.6MiB live, 188.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

4 744×	`lower-*.f64`
4 708×	`lower-*.f32`
3 908×	`lower-/.f64`
3 898×	`lower-/.f32`
2 666×	`lower--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	401
0	98	401
1	208	397
2	594	397
3	2712	397
4	5784	397
0	8032	397

Stop Event

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

Calls

Call 1

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

Outputs
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
tau
#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
#s(literal 0 binary32)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (*.f32 (PI.f32) 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
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(.f32 #s(literal -1/6 binary32) (.f32 x x))
(.f32 (.f32 x x) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 x x)
(*.f32 (PI.f32) (PI.f32))
#s(literal 1 binary32)
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
tau
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x))
(.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))
(.f32 tau (.f32 (neg.f32 (PI.f32)) x))
(.f32 (.f32 (neg.f32 (PI.f32)) x) tau)
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))))
(.f32 (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))))
(/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)))
(/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x)))
#s(literal 1/2 binary32)
(.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))
(.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) (.f32 x x))
(.f32 (.f32 tau (*.f32 x (PI.f32))) x)
(.f32 (.f32 tau (*.f32 (PI.f32) x)) x)
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
tau
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x))
(.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)
(*.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32))
(-.f32 tau #s(literal 1 binary32))
#s(literal 1 binary32)
(cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32)))
(*.f32 (fma.f32 tau x x) (PI.f32))
(fma.f32 tau x x)

localize194.0ms (1.6%)

Memory

-7.6MiB live, 397.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.359375	(*.f32 x (PI.f32))
accuracy	0.3984375	(.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))
accuracy	0.44273378907376815	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))))
accuracy	10.176071618189527	(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
accuracy	0.359375	(*.f32 x (PI.f32))
accuracy	0.3674688180802658	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.40234375	(.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x))
accuracy	0.4111900879159782	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
accuracy	0.3674688180802656	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.4091987793053261	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	4.427938075790228	#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	29.982374435491185	#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
accuracy	0.359375	(*.f32 x (PI.f32))
accuracy	0.3674688180802658	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.39357377930532605	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.4394913086106522	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32))))

Samples

116.0ms

256×

valid

Compiler

Compiled 386 to 55 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 44.0ms (45.5% of total)

ival-cos: 19.0ms (19.7% of total)

ival-sin: 10.0ms (10.3% of total)

ival-div: 9.0ms (9.3% of total)

ival-sub: 6.0ms (6.2% of total)

const: 4.0ms (4.1% of total)

ival-add: 3.0ms (3.1% of total)

ival-pi: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series58.0ms (0.5%)

Memory

20.0MiB live, 59.0MiB allocated

Counts

21 → 432

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) (taylor 0 x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (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)))))))))) (taylor 0 x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (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)))))))))))))) (taylor 0 x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) (patch (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
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#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (patch (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
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#s(alt (/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (* tau (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))) (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))))) tau) (taylor 0 tau) (#s(alt (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (patch (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (* tau (+ (* 1/2 (* tau (- (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* -1/6 (* x (* (PI) (sin (* -1 (* x (PI)))))))))) (* 1/2 (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))))))) tau) (taylor 0 tau) (#s(alt (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (patch (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf tau) (#s(alt (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (patch (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf tau) (#s(alt (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (patch (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf tau) (#s(alt (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (patch (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf tau) (#s(alt (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (patch (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) #<representation binary32>) () ())) ())
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#s(alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor -inf tau) (#s(alt (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (patch (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))) (* tau (pow (PI) 2)))) (taylor 0 x) (#s(alt (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (patch (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) #<representation binary32>) () ())) ())
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#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf x) (#s(alt (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (patch (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor inf x) (#s(alt (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (patch (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) #<representation binary32>) () ())) ())
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#s(alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (* tau (* (pow x 2) (pow (PI) 2))))) (taylor -inf x) (#s(alt (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (patch (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) #<representation binary32>) () ())) ())
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#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor 0 tau) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor 0 tau) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor 0 tau) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
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#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf tau) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf tau) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
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#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
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#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (patch (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor 0 tau) (#s(alt (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) (patch (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor 0 tau) (#s(alt (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) (patch (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor 0 tau) (#s(alt (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) (patch (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor 0 tau) (#s(alt (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) (patch (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor inf tau) (#s(alt (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) (patch (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor inf tau) (#s(alt (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) (patch (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor inf tau) (#s(alt (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) (patch (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor inf tau) (#s(alt (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) (patch (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor -inf tau) (#s(alt (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) (patch (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor -inf tau) (#s(alt (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) (patch (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor -inf tau) (#s(alt (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) (patch (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor -inf tau) (#s(alt (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) (patch (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32)) #<representation binary32>) () ())) ())
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#s(alt (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x))))) (taylor -inf tau) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x))))) (taylor -inf tau) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x))))) (taylor -inf tau) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2))))) (taylor 0 x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2))))) (taylor 0 x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2))))) (taylor 0 x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (+ (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* (pow x 2) (- (* 1/40320 (* (pow (PI) 8) (pow (- tau 1) 8))) (* 1/40320 (* (pow (PI) 8) (pow (+ 1 tau) 8)))))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2))))) (taylor 0 x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (taylor inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (taylor inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (taylor inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (taylor inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (taylor -inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (taylor -inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (taylor -inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (taylor -inf x) (#s(alt (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) (patch (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #<representation binary32>) () ())) ())

Calls

108 calls:

Time	Variable		Point	Expression
1.0ms	tau	@	inf	(/ 1/2 (* (* (* tau (* x (PI))) x) (PI)))
1.0ms	x	@	inf	(/ 1/2 (* (* (* tau (* x (PI))) x) (PI)))
1.0ms	tau	@	0	(* (* tau (* x (PI))) x)
0.0ms	tau	@	0	(/ 1/2 (* (* (* tau (* x (PI))) x) (PI)))
0.0ms	x	@	0	(/ 1/2 (* (* (* tau (* x (PI))) x) (PI)))

simplify335.0ms (2.7%)

Memory

-1.2MiB live, 231.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 334×	`lower-fma.f64`
14 334×	`lower-fma.f32`
8 766×	`lower-*.f64`
8 766×	`lower-*.f32`
3 046×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	541	8042
1	1797	7692
2	6693	7416
0	8293	7176

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* x (PI)))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(* tau (sin (* x (PI))))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
(* x (+ (PI) (* -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))))))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(* 1/2 (/ (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))) (* tau (pow (PI) 2))))
(+ (* 1/2 (* (pow x 2) (- (* 1/24 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* 1/24 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau))))) (* 1/2 (/ (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))) (* tau (pow (PI) 2)))))
(+ (* 1/2 (/ (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))) (* tau (pow (PI) 2)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* -1/720 (/ (* (pow (PI) 4) (pow (- tau 1) 6)) tau)) (* -1/720 (/ (* (pow (PI) 4) (pow (+ 1 tau) 6)) tau))))) (* 1/2 (- (* 1/24 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* 1/24 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau)))))))
(+ (* 1/2 (/ (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))) (* tau (pow (PI) 2)))) (* (pow x 2) (+ (* 1/2 (- (* 1/24 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* 1/24 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* 1/40320 (/ (* (pow (PI) 6) (pow (- tau 1) 8)) tau)) (* 1/40320 (/ (* (pow (PI) 6) (pow (+ 1 tau) 8)) tau))))) (* 1/2 (- (* -1/720 (/ (* (pow (PI) 4) (pow (- tau 1) 6)) tau)) (* -1/720 (/ (* (pow (PI) 4) (pow (+ 1 tau) 6)) tau)))))))))
(* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/ (+ (* 1/2 (* tau (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))) (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)
(/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (* tau (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))) (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))))) tau)
(/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (* tau (+ (* 1/2 (* tau (- (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* -1/6 (* x (* (PI) (sin (* -1 (* x (PI)))))))))) (* 1/2 (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))))))) tau)
(* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
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(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(- (cos (* -1 (* x (PI)))) (cos (* x (PI))))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* tau (- (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(* (pow x 2) (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (+ (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* (pow x 2) (- (* 1/40320 (* (pow (PI) 8) (pow (- tau 1) 8))) (* 1/40320 (* (pow (PI) 8) (pow (+ 1 tau) 8)))))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #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 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #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))) (* (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 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (.f32 #s(literal -1/720 binary32) tau) tau (.f32 #s(literal -1/720 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.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 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) x)) (.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 (.f32 #s(literal 1/120 binary32) (.f32 x x)) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))
(* tau (* x (PI)))
(.f32 (.f32 (PI.f32) x) tau)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (+.f32 tau (.f32 (.f32 tau tau) tau))) (*.f32 (PI.f32) tau)) x)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) tau (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))))) (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (+.f32 tau (.f32 (.f32 tau tau) tau))))) (.f32 x x) (*.f32 (PI.f32) tau)) x)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 tau tau)) tau (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32)))) (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) tau (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))))) (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (+.f32 tau (.f32 (.f32 tau tau) tau))))) (.f32 x x) (*.f32 (PI.f32) tau)) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(* tau (sin (* x (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) tau)
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) x)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))))) (.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
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(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* tau (* (pow x 2) (PI)))
(.f32 (.f32 (*.f32 (PI.f32) x) x) tau)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) x) x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (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))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* 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))
(- (cos (* -1 (* x (PI)))) (cos (* x (PI))))
#s(literal 0 binary32)
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(fma.f32 (.f32 (.f32 (PI.f32) x) (+.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) tau #s(literal 0 binary32))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(fma.f32 (fma.f32 (.f32 (PI.f32) x) (+.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 #s(literal 0 binary32) tau)) tau #s(literal 0 binary32))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* tau (- (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(fma.f32 (fma.f32 (fma.f32 (.f32 tau #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) x) (.f32 x x)) (+.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 0 binary32)) tau (.f32 (.f32 (PI.f32) x) (+.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))) tau #s(literal 0 binary32))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) tau) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) tau) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) tau) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) tau) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(* (pow x 2) (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 x x))
(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(.f32 (fma.f32 (.f32 (.f32 (.f32 #s(literal 1/24 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (-.f32 (pow.f32 (-.f32 tau #s(literal 1 binary32)) #s(literal 4 binary32)) (pow.f32 (-.f32 tau #s(literal -1 binary32)) #s(literal 4 binary32)))) x) x (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32)))))) (*.f32 x x))
(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(.f32 (fma.f32 (.f32 (fma.f32 (.f32 (.f32 #s(literal -1/720 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (-.f32 (pow.f32 (-.f32 tau #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 (-.f32 tau #s(literal -1 binary32)) #s(literal 6 binary32)))) (.f32 x x) (.f32 (.f32 #s(literal 1/24 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (-.f32 (pow.f32 (-.f32 tau #s(literal 1 binary32)) #s(literal 4 binary32)) (pow.f32 (-.f32 tau #s(literal -1 binary32)) #s(literal 4 binary32))))) x) x (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32)))))) (.f32 x x))
(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (+ (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* (pow x 2) (- (* 1/40320 (* (pow (PI) 8) (pow (- tau 1) 8))) (* 1/40320 (* (pow (PI) 8) (pow (+ 1 tau) 8)))))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(.f32 (fma.f32 (.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/40320 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32))) (-.f32 (pow.f32 (-.f32 tau #s(literal 1 binary32)) #s(literal 8 binary32)) (pow.f32 (-.f32 tau #s(literal -1 binary32)) #s(literal 8 binary32)))) (.f32 x x) (.f32 (.f32 #s(literal -1/720 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (-.f32 (pow.f32 (-.f32 tau #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 (-.f32 tau #s(literal -1 binary32)) #s(literal 6 binary32))))) (.f32 x x) (.f32 (.f32 #s(literal 1/24 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (-.f32 (pow.f32 (-.f32 tau #s(literal 1 binary32)) #s(literal 4 binary32)) (pow.f32 (-.f32 tau #s(literal -1 binary32)) #s(literal 4 binary32))))) x) x (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32)))))) (*.f32 x x))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (+ x (* tau x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32))))

rewrite348.0ms (2.8%)

Memory

-6.4MiB live, 325.7MiB allocated

Rules

5 658×	`lower-/.f64`
5 648×	`lower-/.f32`
4 096×	`lower-*.f64`
4 060×	`lower-*.f32`
3 530×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	280
0	98	273
1	363	246
2	2351	246
0	8685	244

Stop Event

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

Counts

21 → 1 520

Calls

Call 1

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

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

eval584.0ms (4.7%)

Memory: 18.3MiB live, 371.6MiB allocated
Compiler: Compiled 77 677 to 2 874 computations (96.3% saved)

prune841.0ms (6.8%)

Memory

-14.5MiB live, 969.5MiB allocated

Pruning

80 alts after pruning (76 fresh and 4 done)

	Pruned	Kept	Total
New	2 137	49	2 186
Fresh	22	27	49
Picked	2	3	5
Done	0	1	1
Total	2 161	80	2 241

Accuracy

99.9%

Counts

2 241 → 80

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	85.0%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau x)) (PI.f32))
	85.1%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) x) (.f32 tau (PI.f32)))
	64.3%	(/.f32 (-.f32 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau)) x)) (.f32 (.f32 #s(literal 2 binary32) (.f32 tau x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 tau x)) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau)) x)))
	66.9%	(/.f32 (-.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (.f32 (neg.f32 (PI.f32)) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
	66.8%	(/.f32 (-.f32 (cos.f32 (/.f32 (fma.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))) (pow.f32 (.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32))) (fma.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32))) (-.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
	66.9%	(/.f32 (-.f32 (cos.f32 (/.f32 (.f32 (fma.f32 tau tau #s(literal -1 binary32)) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
	66.9%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (.f32 tau x)) #s(literal 2 binary32)))
	51.7%	(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
	33.4%	(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) #s(literal 1 binary32)) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.4%	(/.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))
✓	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32))))
	66.9%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))) #s(literal 1/2 binary32)) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
	66.9%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)))) #s(literal 2 binary32))
	97.0%	(/.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) x))
	97.5%	(/.f32 (.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) x) tau))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) x))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x)) tau))
▶	97.6%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
	85.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)))
	71.2%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)))
	85.4%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32))))
	71.2%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32))))
	78.3%	(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (+.f32 tau (.f32 (.f32 tau tau) tau))) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 x (PI.f32))))
	64.9%	(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 x (PI.f32))))
	63.9%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	63.7%	(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
	85.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) tau)))
	85.2%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))))
	84.7%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau x))))
	97.1%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	85.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	66.9%	(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32)))))
	84.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
	85.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
▶	97.2%	(.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))))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 tau (.f32 (PI.f32) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (PI.f32)))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 tau (PI.f32))))
	79.6%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) x) (.f32 x x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	79.2%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (.f32 (.f32 tau tau) x) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	85.1%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.3%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.9%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
	66.9%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))))
✓	66.9%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))))
	85.1%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.4%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.3%	(.f32 (.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (PI.f32)) x))) (sin.f32 (*.f32 (PI.f32) x)))
	85.3%	(.f32 (.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 tau (*.f32 (PI.f32) x))))
	85.4%	(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 tau (*.f32 (PI.f32) x))))
	85.3%	(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
	97.1%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
	84.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (PI.f32)) (PI.f32))) (.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	80.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	65.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.0%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)))) (.f32 tau tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (.f32 (PI.f32) x)))
	80.0%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x)))
	79.9%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 (PI.f32) x)))
	96.9%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) x)))
	96.3%	(.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 tau #s(literal 1 binary32)) x (fma.f32 tau x x))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) (-.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) x) (fma.f32 tau x x))) #s(literal 1/2 binary32)))) (.f32 (.f32 (.f32 tau (*.f32 (PI.f32) x)) x) (PI.f32))))
	96.4%	(.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 tau #s(literal 1 binary32)) x (fma.f32 tau x x))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) (-.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) x) (fma.f32 tau x x))) #s(literal 1/2 binary32)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau)) x)))
	97.3%	(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 tau (*.f32 (PI.f32) x))))
✓	6.3%	#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
	79.4%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	64.8%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	84.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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 (fma.f32 (.f32 tau tau) (.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau tau)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	79.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	97.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) tau)))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
✓	64.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 395 to 2 421 computations (44.9% saved)

simplify183.0ms (1.5%)

Memory

37.1MiB live, 115.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2 824×	`lower-*.f64`
2 796×	`lower-*.f32`
1 398×	`associate-/l/`
1 360×	`lower-/.f64`
1 348×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	470
0	77	466
1	161	466
2	395	466
3	1153	466
4	2578	466
5	2764	466
6	2837	466
7	2886	466
8	2886	466
9	3776	466
10	4244	466
11	4537	466
12	4543	466
13	4548	466
14	4548	466
15	4610	466
16	4822	466
17	4960	466
18	4972	466
19	4972	466
20	4972	466
21	5114	466
22	5115	466
0	5115	466

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize156.0ms (1.3%)

Memory

-22.7MiB live, 389.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3674688180802656	(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
accuracy	0.39357377930532605	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.4091987793053261	(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.4404487793053261	(.f32 (.f32 tau x) (PI.f32))
accuracy	0.3674688180802656	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4296875	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) tau)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	4.427938075790233	#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	0.4091987793053261	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32)))
accuracy	0.4404487793053261	(.f32 (.f32 tau x) (PI.f32))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	4.427938075790233	#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	0.3671875	(.f32 #s(literal -1/6 binary32) (.f32 x x))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	4.427938075790233	#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	11.220349930483764	#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
accuracy	0.359375	(*.f32 x (PI.f32))
accuracy	0.3674688180802656	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.40234375	(.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.4111900879159782	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))

Samples

98.0ms

256×

valid

Compiler

Compiled 405 to 38 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-sin: 28.0ms (36.7% of total)

ival-mult: 23.0ms (30.1% of total)

ival-div: 11.0ms (14.4% of total)

ival-pi: 6.0ms (7.9% of total)

const: 5.0ms (6.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory

-19.2MiB live, 58.2MiB allocated

Counts

26 → 528

Calls

Call 1

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

Outputs
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf tau) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf tau) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf tau) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf tau) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) (taylor 0 x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) (taylor 0 x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) (taylor 0 x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (* (PI) (sin (* x (PI)))))) (taylor 0 tau) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI))))))) (taylor 0 tau) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))) (taylor 0 tau) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))) (taylor 0 tau) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (taylor inf tau) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (taylor inf tau) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (taylor inf tau) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (taylor inf tau) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (taylor -inf tau) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (taylor -inf tau) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (taylor -inf tau) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (taylor -inf tau) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor 0 x) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))) (taylor 0 x) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))))))) (taylor 0 x) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8)))))))))))))))) (taylor 0 x) (#s(alt (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
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#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor -inf tau) (#s(alt (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))) (patch (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* tau (* (pow x 2) (pow (PI) 2))) (taylor -inf tau) (#s(alt (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))) (patch (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor 0 x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor 0 x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor 0 x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor 0 x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#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 tau) (#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 tau) (#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 tau) (#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 tau) (#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 tau) (#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 tau) (#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 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 x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) (taylor 0 x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))) (taylor 0 x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))) (taylor 0 x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (taylor 0 x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) (taylor 0 x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) (taylor 0 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 (/ (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 (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())

Calls

132 calls:

Time	Variable		Point	Expression
3.0ms	tau	@	0	(/ (* (PI) x) (/ (sin (* tau (* (PI) x))) tau))
1.0ms	x	@	-inf	(/ (* (PI) x) (/ (sin (* tau (* (PI) x))) tau))
1.0ms	tau	@	-inf	(/ (* (PI) x) (/ (sin (* tau (* (PI) x))) tau))
1.0ms	x	@	0	(/ (* (PI) x) (/ (sin (* tau (* (PI) x))) tau))
0.0ms	tau	@	inf	(/ (* (PI) x) (/ (sin (* tau (* (PI) x))) tau))

simplify202.0ms (1.6%)

Memory

31.8MiB live, 300.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 860×	`lower-fma.f64`
16 860×	`lower-fma.f32`
7 838×	`lower-*.f64`
7 838×	`lower-*.f32`
5 676×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	7862
1	1049	7712
2	4311	7552
0	8255	7298

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

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

rewrite235.0ms (1.9%)

Memory

-23.9MiB live, 382.2MiB allocated

Rules

4 934×	`lower-*.f64`
4 906×	`lower-*.f32`
4 522×	`lower-/.f64`
4 510×	`lower-/.f32`
3 630×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	316
0	77	312
1	262	301
2	1419	301
0	8361	296

Stop Event

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

Counts

26 → 1 681

Calls

Call 1

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

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

eval317.0ms (2.6%)

Memory: 21.3MiB live, 522.7MiB allocated
Compiler: Compiled 80 253 to 3 843 computations (95.2% saved)

prune1.4s (11.5%)

Memory

7.7MiB live, 1 780.1MiB allocated

Pruning

120 alts after pruning (115 fresh and 5 done)

	Pruned	Kept	Total
New	2 791	74	2 865
Fresh	30	41	71
Picked	4	1	5
Done	0	4	4
Total	2 825	120	2 945

Accuracy

99.9%

Counts

2 945 → 120

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) (.f32 (PI.f32) tau)) x)
	84.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) (PI.f32)) (.f32 x tau))
	85.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x) (.f32 (PI.f32) tau))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	85.0%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau x)) (PI.f32))
	64.3%	(/.f32 (-.f32 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau)) x)) (.f32 (.f32 #s(literal 2 binary32) (.f32 tau x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 tau x)) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau)) x)))
	66.9%	(/.f32 (-.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (.f32 (neg.f32 (PI.f32)) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
	66.8%	(/.f32 (-.f32 (cos.f32 (/.f32 (fma.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))) (pow.f32 (.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32))) (fma.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32))) (-.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
	66.9%	(/.f32 (-.f32 (cos.f32 (/.f32 (.f32 (fma.f32 tau tau #s(literal -1 binary32)) (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) tau))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
	66.9%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) (.f32 tau x)) #s(literal 2 binary32)))
	51.7%	(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
	33.4%	(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) #s(literal 1 binary32)) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
	85.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) (.f32 (PI.f32) tau))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (*.f32 (PI.f32) x) tau) x))
✓	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 x (PI.f32))))
	97.5%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (PI.f32) x))
	66.9%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)))) #s(literal 2 binary32))
	97.0%	(/.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) tau)) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) x))
	84.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (PI.f32))) (.f32 x tau))
	85.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) x)) (.f32 (PI.f32) tau))
	85.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) tau)) (.f32 (PI.f32) x))
	85.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) x) tau))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x)) tau))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))))))
✓	97.6%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
	85.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)))
	71.2%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)))
	71.2%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32))))
	84.8%	(/.f32 (neg.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (PI.f32))) (.f32 (/.f32 (neg.f32 x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) tau))
	84.9%	(/.f32 (neg.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) (/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) tau) x) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau))))
	78.3%	(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (+.f32 tau (.f32 (.f32 tau tau) tau))) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 x (PI.f32))))
	64.9%	(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 x (PI.f32))))
	63.9%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
	63.8%	(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
	84.8%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (PI.f32))))
	85.2%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
	84.7%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau x))))
	84.8%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
	97.1%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	85.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.1%	(.f32 (/.f32 (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 (PI.f32) x)) tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
	85.0%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 tau (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	66.9%	(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (*.f32 (fma.f32 tau x x) (PI.f32)))))
	84.9%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.8%	(.f32 (/.f32 (sin.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) x)))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (PI.f32)))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	85.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) tau) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x)) #s(literal 1 binary32))))
	84.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))))))
	71.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
	85.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	71.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
	85.4%	(.f32 (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))
	79.1%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	79.6%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) x) (.f32 x x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	79.2%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	79.2%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (.f32 (.f32 tau tau) x) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.5%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.9%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
	85.1%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
	85.1%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x)) #s(literal 1 binary32))))
	85.1%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))))))
	85.1%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1/36 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))))
	71.3%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
	79.1%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	79.5%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.8%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.8%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 x (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
	85.3%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
	85.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
	83.1%	(.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ ( (PI) x) (/ (sin (* tau (* (PI) x))) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x) (.f32 (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 tau tau)) #s(literal 7/360 binary32))) (.f32 tau tau) #s(literal 1 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	79.2%	(.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ ( (PI) x) (/ (sin (* tau (* (PI) x))) tau)) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	66.9%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))))
✓	66.9%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))) (-.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32)))))
	85.0%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (neg.f32 tau)) (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	85.4%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.3%	(.f32 (.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (PI.f32)) x))) (sin.f32 (*.f32 (PI.f32) x)))
	85.3%	(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
	84.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	80.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	65.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
	65.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))))
	65.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	65.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
	65.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
	65.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	65.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	65.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) #s(literal 1 binary32))))
	65.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 x (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
	65.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x)) #s(literal 1 binary32))))
	4.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
	85.0%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)))) (.f32 tau tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (.f32 (PI.f32) x)))
	80.0%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x)))
	96.9%	(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) x)))
	96.3%	(.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 tau #s(literal 1 binary32)) x (fma.f32 tau x x))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) (-.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) x) (fma.f32 tau x x))) #s(literal 1/2 binary32)))) (.f32 (.f32 (.f32 tau (*.f32 (PI.f32) x)) x) (PI.f32))))
	96.4%	(.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 tau #s(literal 1 binary32)) x (fma.f32 tau x x))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) (-.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) x) (fma.f32 tau x x))) #s(literal 1/2 binary32)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau)) x)))
	97.3%	(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 tau (*.f32 (PI.f32) x))))
✓	6.3%	#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
	64.8%	#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	84.8%	#s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (* (PI) x) (* tau (* (PI) x)))) (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 (fma.f32 (.f32 tau tau) (.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau tau)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	79.4%	#s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (* (PI) x) (* tau (* (PI) x)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	97.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) tau)))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
✓	64.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 8 300 to 2 565 computations (69.1% saved)

regimes416.0ms (3.4%)

Memory

-0.8MiB live, 386.7MiB allocated

Counts

195 → 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 (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 x (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.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)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.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 (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 (* x (PI)))) (sin (* x (PI)))) (* (* (PI) x) (* tau (* (PI) x)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) (.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 (*.f32 (PI.f32) (PI.f32)) tau)) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ ( (PI) x) (/ (sin (* tau (* (PI) x))) tau)) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (+.f32 tau (.f32 (.f32 tau tau) tau))) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 x (PI.f32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (fma.f32 (.f32 tau tau) tau tau))) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(approx (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 x x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (.f32 (.f32 tau tau) x) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) x) (.f32 x x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) #s(literal 1 binary32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (neg.f32 tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) #s(literal 1 binary32)) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)))
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(.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 tau #s(literal 1 binary32)) x (fma.f32 tau x x))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) (-.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) x) (fma.f32 tau x x))) #s(literal 1/2 binary32)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)))
(.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 tau #s(literal 1 binary32)) x (fma.f32 tau x x))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) (-.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) x) (fma.f32 tau x x))) #s(literal 1/2 binary32)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
(/.f32 (-.f32 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)) (.f32 (.f32 #s(literal 2 binary32) (.f32 tau x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 tau x)) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)) x)))
(/.f32 (-.f32 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau)) x)) (.f32 (.f32 #s(literal 2 binary32) (.f32 tau x)) (cos.f32 (.f32 (fma.f32 tau x x) (PI.f32))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 tau x)) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (-.f32 (cos.f32 (/.f32 (fma.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))) (pow.f32 (.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32))) (fma.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32))) (-.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) (.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))

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

Calls

4 calls:

141.0ms	tau
137.0ms	(.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))))
68.0ms	(*.f32 x (PI.f32))
61.0ms	x

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes170.0ms (1.4%)

Memory

27.7MiB live, 343.4MiB allocated

Counts

150 → 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 (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 x (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.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)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.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 (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 (* x (PI)))) (sin (* x (PI)))) (* (* (PI) x) (* tau (* (PI) x)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) (.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 (*.f32 (PI.f32) (PI.f32)) tau)) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ ( (PI) x) (/ (sin (* tau (* (PI) x))) tau)) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (+.f32 tau (.f32 (.f32 tau tau) tau))) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 x (PI.f32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (fma.f32 (.f32 tau tau) tau tau))) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(approx (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 x x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (.f32 (.f32 tau tau) x) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) x) (.f32 x x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) #s(literal 1 binary32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (neg.f32 tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) #s(literal 1 binary32)) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.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 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
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(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (PI.f32)) (PI.f32))) (.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ ( (PI) x) (/ (sin (* tau (* (PI) x))) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x) (.f32 (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 tau tau)) #s(literal 7/360 binary32))) (.f32 tau tau) #s(literal 1 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #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))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1/36 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) tau)))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 tau (.f32 (PI.f32) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) x)) tau))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) x) tau))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32)))))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (neg.f32 tau) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (.f32 (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (PI.f32)) x))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

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

Calls

4 calls:

44.0ms	tau
41.0ms	(.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))))
39.0ms	x
39.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes147.0ms (1.2%)

Memory

-20.3MiB live, 294.4MiB allocated

Counts

134 → 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 (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 x (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.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)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.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 (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 (* x (PI)))) (sin (* x (PI)))) (* (* (PI) x) (* tau (* (PI) x)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) (.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 (*.f32 (PI.f32) (PI.f32)) tau)) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ ( (PI) x) (/ (sin (* tau (* (PI) x))) tau)) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (+.f32 tau (.f32 (.f32 tau tau) tau))) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 x (PI.f32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (fma.f32 (.f32 tau tau) tau tau))) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(approx (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 x x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (.f32 (.f32 tau tau) x) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
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(/.f32 (neg.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (PI.f32))) (.f32 (/.f32 (neg.f32 x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) tau))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 tau (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) tau)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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 (fma.f32 (.f32 tau tau) (.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau tau)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (* (PI) x) (* tau (* (PI) x)))) (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 (fma.f32 (.f32 tau tau) (.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau tau)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)))) (.f32 tau tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (PI.f32)) (PI.f32))) (.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ ( (PI) x) (/ (sin (* tau (* (PI) x))) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x) (.f32 (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 tau tau)) #s(literal 7/360 binary32))) (.f32 tau tau) #s(literal 1 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #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))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1/36 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) tau)))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 tau (.f32 x (PI.f32))) x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 tau (.f32 (PI.f32) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) x) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) x)))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(*.f32 x (PI.f32))`
97.5%	1	`tau`
97.5%	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))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes143.0ms (1.2%)

Memory

0.3MiB live, 317.8MiB allocated

Counts

125 → 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 (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 x (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.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)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.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 (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 (* x (PI)))) (sin (* x (PI)))) (* (* (PI) x) (* tau (* (PI) x)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
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(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 x (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (.f32 (PI.f32) x)) (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (neg.f32 tau)) (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (PI.f32))) (.f32 (/.f32 (neg.f32 x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) tau))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 tau (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) tau)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x tau) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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 (fma.f32 (.f32 tau tau) (.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau tau)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (* (PI) x) (* tau (* (PI) x)))) (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 (fma.f32 (.f32 tau tau) (.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau tau)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32)) (.f32 (-.f32 tau #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)))) (.f32 tau tau) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (PI.f32)) (PI.f32))) (.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ ( (PI) x) (/ (sin (* tau (* (PI) x))) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x x) (.f32 (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 tau tau)) #s(literal 7/360 binary32))) (.f32 tau tau) #s(literal 1 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #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))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1/36 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))))

Outputs

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

Calls

4 calls:

40.0ms	tau
34.0ms	(*.f32 x (PI.f32))
32.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
31.0ms	x

Results

Accuracy	Segments	Branch
85.5%	1	`x`
85.5%	1	`tau`
85.5%	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))))`
85.5%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes67.0ms (0.5%)

Memory

8.8MiB live, 166.7MiB allocated

Counts

58 → 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 (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 x (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.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)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.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 (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 (* x (PI)))) (sin (* x (PI)))) (* (* (PI) x) (* tau (* (PI) x)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) (.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 (*.f32 (PI.f32) (PI.f32)) tau)) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ ( (PI) x) (/ (sin (* tau (* (PI) x))) tau)) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (+.f32 tau (.f32 (.f32 tau tau) tau))) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 x (PI.f32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (fma.f32 (.f32 tau tau) tau tau))) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(approx (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 x x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (.f32 (.f32 tau tau) x) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) x) (.f32 x x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) #s(literal 1 binary32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (neg.f32 tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) #s(literal 1 binary32)) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.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 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #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))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #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))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #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))) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.5%	1	`x`
85.5%	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))))`
85.5%	1	`(*.f32 x (PI.f32))`
85.5%	1	`tau`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes62.0ms (0.5%)

Memory

-2.8MiB live, 155.1MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 x (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.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)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.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 (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 (* x (PI)))) (sin (* x (PI)))) (* (* (PI) x) (* tau (* (PI) x)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) (.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 (*.f32 (PI.f32) (PI.f32)) tau)) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ ( (PI) x) (/ (sin (* tau (* (PI) x))) tau)) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (+.f32 tau (.f32 (.f32 tau tau) tau))) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 x (PI.f32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (fma.f32 (.f32 tau tau) tau tau))) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(approx (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 x x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (.f32 (.f32 tau tau) x) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) x) (.f32 x x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) #s(literal 1 binary32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (neg.f32 tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) #s(literal 1 binary32)) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.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 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.4%	1	`x`
85.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
85.4%	1	`(*.f32 x (PI.f32))`
85.4%	1	`tau`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes56.0ms (0.5%)

Memory

27.1MiB live, 146.6MiB allocated

Counts

48 → 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 (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 x (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.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)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.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 (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 (* x (PI)))) (sin (* x (PI)))) (* (* (PI) x) (* tau (* (PI) x)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) (.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 (*.f32 (PI.f32) (PI.f32)) tau)) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ ( (PI) x) (/ (sin (* tau (* (PI) x))) tau)) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (+.f32 tau (.f32 (.f32 tau tau) tau))) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 x (PI.f32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (fma.f32 (.f32 tau tau) tau tau))) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(approx (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 x x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (.f32 (.f32 tau tau) x) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) x) (.f32 x x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) #s(literal 1 binary32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (neg.f32 tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) #s(literal 1 binary32)) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.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))))

Outputs

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

Calls

4 calls:

14.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
13.0ms	(*.f32 x (PI.f32))
13.0ms	x
13.0ms	tau

Results

Accuracy	Segments	Branch
80.1%	1	`x`
80.1%	1	`tau`
80.1%	1	`(*.f32 x (PI.f32))`
80.1%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes59.0ms (0.5%)

Memory

-14.9MiB live, 143.5MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 x (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.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)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.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 (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 (* x (PI)))) (sin (* x (PI)))) (* (* (PI) x) (* tau (* (PI) x)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 (.f32 tau x) x) (PI.f32)) (PI.f32))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) (.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 (*.f32 (PI.f32) (PI.f32)) tau)) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ ( (PI) x) (/ (sin (* tau (* (PI) x))) tau)) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 tau tau) x) x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (+.f32 tau (.f32 (.f32 tau tau) tau))) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 x (PI.f32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (fma.f32 (.f32 tau tau) tau tau))) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 #s(approx (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))) (-.f32 (-.f32 tau #s(literal 1 binary32)) (-.f32 tau #s(literal -1 binary32))))) (.f32 x x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (*.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 (.f32 (.f32 tau tau) x) x))) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) x) (.f32 x x)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 x x) x)) (.f32 (PI.f32) x)) tau)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 #s(approx (sin (* tau (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) x)) tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) x) (sin (* (PI) x))) (* (* tau (* (PI) x)) (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) #s(literal 1 binary32))))
(neg.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (.f32 (neg.f32 tau) (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (* (* (PI) x) (PI)) (* tau x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (-.f32 #s(approx (cos (* (* (PI) x) (- tau 1))) #s(literal 1 binary32)) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x)))

Outputs

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

Calls

4 calls:

18.0ms	tau
13.0ms	(*.f32 x (PI.f32))
13.0ms	x
12.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
80.0%	1	`x`
80.0%	1	`(*.f32 x (PI.f32))`
80.0%	1	`tau`
80.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes27.0ms (0.2%)

Memory

-12.1MiB live, 68.9MiB allocated

Counts

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

Outputs

#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)))

Calls

4 calls:

8.0ms	x
6.0ms	(.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))))
6.0ms	tau
6.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
79.4%	1	`x`
79.4%	1	`(*.f32 x (PI.f32))`
79.4%	1	`tau`
79.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes17.0ms (0.1%)

Memory

7.5MiB live, 46.6MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 x (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.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)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 x x)) #s(literal 1 binary32))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.2%	1	`x`
65.2%	1	`tau`
65.2%	1	`(*.f32 x (PI.f32))`
65.2%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes11.0ms (0.1%)

Memory

-5.5MiB live, 33.8MiB allocated

Counts

6 → 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 (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 x (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.2%	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))))`
65.2%	1	`tau`
65.2%	1	`x`
65.2%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes7.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Accuracy

Total -19.4b remaining (-168.3%)

Threshold costs -19.4b (-168.3%)

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (- (cos (* (* (PI) x) (- tau 1))) (cos (* (PI) (+ (* tau x) x)))) (* (* (* (* (PI) x) (PI)) (* tau x)) 2)) #s(literal 0 binary32))

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
64.0%	1	`tau`
64.0%	1	`x`
64.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify8.0ms (0.1%)

Memory

-19.5MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	392
1	110	392

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.7s (13.9%)

Memory

-142.4MiB live, 1 095.9MiB allocated

Rules

16 966×	`lower-fma.f64`
16 966×	`lower-fma.f32`
16 860×	`lower-fma.f64`
16 860×	`lower-fma.f32`
14 334×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	257
0	71	261
1	299	255
2	2176	241
0	8190	241
0	315	7862
1	1049	7712
2	4311	7552
0	8255	7298
0	43	316
0	77	312
1	262	301
2	1419	301
0	8361	296
0	196	1582
1	620	1562
2	2413	1538
3	4145	1538
4	4880	1538
5	5560	1538
6	5950	1538
7	5981	1538
8	5981	1538
0	8826	1486
0	10	55
0	18	55
1	63	55
2	483	53
3	6485	53
0	8114	53
0	60	280
0	98	273
1	363	246
2	2351	246
0	8685	244
0	541	8042
1	1797	7692
2	6693	7416
0	8293	7176

Stop Event

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

Compiler

Compiled 750 to 303 computations (59.6% saved)

preprocess65.0ms (0.5%)

Memory

-14.8MiB live, 138.7MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 1 528 to 556 computations (63.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze21.0ms (0.2%)

sample1.6s (13%)

explain185.0ms (1.5%)

preprocess79.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.2%)

localize36.0ms (0.3%)

series32.0ms (0.3%)

simplify312.0ms (2.5%)

rewrite207.0ms (1.7%)

eval90.0ms (0.7%)

prune245.0ms (2%)

simplify142.0ms (1.1%)

localize169.0ms (1.4%)

series63.0ms (0.5%)

simplify225.0ms (1.8%)

rewrite203.0ms (1.6%)

eval220.0ms (1.8%)

prune490.0ms (4%)

simplify114.0ms (0.9%)

localize194.0ms (1.6%)

series58.0ms (0.5%)

simplify335.0ms (2.7%)

rewrite348.0ms (2.8%)

eval584.0ms (4.7%)

prune841.0ms (6.8%)

simplify183.0ms (1.5%)

localize156.0ms (1.3%)

series31.0ms (0.2%)

simplify202.0ms (1.6%)

rewrite235.0ms (1.9%)

eval317.0ms (2.6%)

prune1.4s (11.5%)

regimes416.0ms (3.4%)

regimes170.0ms (1.4%)

regimes147.0ms (1.2%)

regimes143.0ms (1.2%)

regimes67.0ms (0.5%)

regimes62.0ms (0.5%)

regimes56.0ms (0.5%)

regimes59.0ms (0.5%)

regimes27.0ms (0.2%)

regimes17.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.7s (13.9%)

preprocess65.0ms (0.5%)

end0.0ms (0%)

Profiling