Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze21.0ms (0.2%)

Memory

-3.3MiB live, 34.5MiB 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 (13.1%)

Memory

72.3MiB live, 2 348.6MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 884.0ms

ival-sin: 237.0ms (26.8% of total)

ival-mult: 199.0ms (22.5% of total)

ival-div: 145.0ms (16.4% of total)

const: 122.0ms (13.8% of total)

ival-<=: 87.0ms (9.8% of total)

ival-pi: 61.0ms (6.9% of total)

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

exact: 8.0ms (0.9% of total)

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

Bogosity

explain180.0ms (1.4%)

Memory

-35.0MiB live, 158.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(PI.f32)`
-	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
-	-	`(.f32 (.f32 x (PI.f32)) tau)`
-	-	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
-	-	`(*.f32 x (PI.f32))`
-	-	`(sin.f32 (*.f32 x (PI.f32)))`
-	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
-	-	`tau`
-	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	2
-	0	254

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

70.0ms

512×

valid

Compiler

Compiled 151 to 34 computations (77.5% saved)

Precisions

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

ival-sin: 40.0ms (70.7% of total)

ival-mult: 9.0ms (15.9% of total)

ival-div: 6.0ms (10.6% of total)

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

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

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

preprocess75.0ms (0.6%)

Memory

11.7MiB live, 48.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs tau)

(abs x)

Compiler

Compiled 23 to 10 computations (56.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.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 23 to 10 computations (56.5% saved)

simplify25.0ms (0.2%)

Memory

-21.1MiB live, 17.9MiB 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 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 (.f32 x (PI.f32)) tau)
(.f32 x (.f32 (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)))

localize40.0ms (0.3%)

Memory

1.5MiB live, 48.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3046875	(*.f32 x (PI.f32))
accuracy	0.33335878907376815	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.34168266062689934	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.38576127930532605	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

25.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sin: 6.0ms (41.2% of total)

ival-mult: 4.0ms (27.5% of total)

ival-div: 3.0ms (20.6% of total)

ival-pi: 1.0ms (6.9% of total)

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

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

series39.0ms (0.3%)

Memory

-6.4MiB live, 31.5MiB 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
12.0ms	tau	@	inf	(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
3.0ms	x	@	0	(/ (sin (* x (PI))) (* x (PI)))
3.0ms	tau	@	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))))

simplify389.0ms (3.1%)

Memory

24.8MiB live, 370.0MiB 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 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #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 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #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 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 tau tau)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32))))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (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 tau tau) (.f32 (sin.f32 (.f32 x (PI.f32))) (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+ (* (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 tau (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (sin.f32 (.f32 x (PI.f32))) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/5040 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (*.f32 (PI.f32) (PI.f32))))) #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 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #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 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32))) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (*.f32 (PI.f32) (PI.f32))))) #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 (.f32 tau tau) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 x x) (*.f32 x x))))) #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 (.f32 tau tau) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (fma.f32 (.f32 tau tau) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal -1/5040 binary32)) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 x x) (.f32 x x)))))) #s(literal 1 binary32))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau)))) (*.f32 tau (PI.f32))))
(* 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 x (fma.f32 (.f32 x x) (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (.f32 (.f32 x (.f32 x (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))) (.f32 tau (PI.f32))))
(* 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 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 7 binary32)) (.f32 x (.f32 x (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))))) (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) x)) (*.f32 x (PI.f32))))
(* 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 tau (fma.f32 x (PI.f32) (.f32 (.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))))))))
(* 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 tau (fma.f32 (.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))) (.f32 (.f32 tau tau) #s(literal -1/5040 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)))))) (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 x (.f32 tau (PI.f32))))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
(* tau (* x (PI)))
(.f32 x (.f32 tau (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #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 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))

rewrite367.0ms (2.9%)

Memory

-10.3MiB live, 304.3MiB 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
(neg.f32 (.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(neg.f32 (.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau)))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))) (neg.f32 (*.f32 x (PI.f32)))))
(neg.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (neg.f32 (.f32 (PI.f32) (*.f32 x tau)))))
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(.f32 (.f32 x (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 x (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) x)
(.f32 (.f32 #s(literal 1 binary32) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/9 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(.f32 (.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (*.f32 x (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))

eval190.0ms (1.5%)

Memory: 3.7MiB live, 161.3MiB allocated
Compiler: Compiled 24 386 to 2 296 computations (90.6% saved)

prune329.0ms (2.6%)

Memory

22.7MiB live, 310.1MiB allocated

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	978	35	1 013
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	978	36	1 014

Accuracy

99.8%

Counts

1 014 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	66.1%	(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (.f32 (PI.f32) tau) (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
▶	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32)))))
	66.1%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))) #s(literal 2 binary32))
▶	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))
	97.8%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (neg.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	97.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (neg.f32 x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
▶	97.4%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) tau)) (.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 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 x (sqrt.f32 (PI.f32))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	95.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (*.f32 x (PI.f32))))
✓	98.1%	(.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))))
	86.1%	(.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 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	71.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32))))))
	80.1%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau)))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	80.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)) (fma.f32 (.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
	80.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	64.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
▶	64.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 771 to 956 computations (46% saved)

simplify147.0ms (1.2%)

Memory

-18.5MiB live, 101.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2 088×	`lower-*.f64`
2 056×	`lower-*.f32`
1 858×	`associate-*r/`
1 230×	`times-frac`
1 144×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	379
0	71	377
1	142	377
2	369	377
3	1116	377
4	3143	377
5	3496	377
6	3498	377
7	3498	377
8	3798	377
9	3884	377
10	3900	377
11	3900	377
12	4728	377
13	4807	377
14	4807	377
0	4807	377

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize602.0ms (4.8%)

Memory

14.5MiB live, 205.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.328125	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
accuracy	0.34168266062689945	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.390625	(/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
accuracy	0.442070019536884	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
accuracy	0.34168266062689945	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.35775375976844204	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (sin.f32 (.f32 x (PI.f32))))
accuracy	0.3678512695368841	(.f32 (PI.f32) (.f32 x (PI.f32)))
accuracy	0.40367128907376815	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32)))))
accuracy	0.34765625	(.f32 (.f32 (*.f32 x x) tau) (PI.f32))
accuracy	0.3515625	(*.f32 tau (PI.f32))
accuracy	0.38509750976844204	(.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))
accuracy	0.4365425293053261	(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32)))))
accuracy	11.49071531588803	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.32650375976844204	(.f32 (PI.f32) (.f32 x tau))
accuracy	0.33335878907376815	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.34168266062689945	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.35775375976844204	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))

Samples

216.0ms

256×

valid

Compiler

Compiled 357 to 37 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-div: 161.0ms (80.5% of total)

ival-mult: 25.0ms (12.5% of total)

ival-sin: 12.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

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

series359.0ms (2.9%)

Memory

11.8MiB live, 126.3MiB allocated

Counts

21 → 468

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
153.0ms	tau	@	0	(* (* (* x x) tau) (PI))
147.0ms	x	@	-inf	(* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI))))
7.0ms	x	@	0	(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) x))
1.0ms	tau	@	0	(/ (/ 1 (* (PI) (* x tau))) (PI))
1.0ms	x	@	0	(/ (/ 1 (* (PI) (* x tau))) (PI))

simplify616.0ms (4.9%)

Memory

-29.7MiB live, 822.4MiB allocated

Algorithm

1×	egg-herbie

Rules

25 332×	`lower-fma.f64`
25 332×	`lower-fma.f32`
6 906×	`lower-+.f64`
6 906×	`lower-+.f32`
6 842×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	7558
1	1316	7362
2	5079	7112
0	8129	6886

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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

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

rewrite215.0ms (1.7%)

Memory

14.0MiB live, 409.2MiB allocated

Rules

4 144×	`lower-*.f64`
4 112×	`lower-*.f32`
3 730×	`lower-/.f64`
3 714×	`lower-/.f32`
1 188×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	271
0	71	269
1	228	257
2	1456	251
3	7290	251
0	8096	251

Stop Event

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

Counts

21 → 1 485

Calls

Call 1

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

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

eval207.0ms (1.6%)

Memory: 23.3MiB live, 526.0MiB allocated
Compiler: Compiled 55 414 to 2 584 computations (95.3% saved)

prune626.0ms (5%)

Memory

-16.9MiB live, 1 341.2MiB allocated

Pruning

55 alts after pruning (53 fresh and 2 done)

	Pruned	Kept	Total
New	2 245	34	2 279
Fresh	11	19	30
Picked	4	1	5
Done	0	1	1
Total	2 260	55	2 315

Accuracy

99.8%

Counts

2 315 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))) (.f32 (PI.f32) (*.f32 x tau)))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
▶	66.1%	(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (.f32 (PI.f32) tau) (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	90.3%	(/.f32 (.f32 (.f32 (pow.f32 (/.f32 tau (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 tau (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal -1/2 binary32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (PI.f32)))))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
▶	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.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 (PI.f32) (.f32 x tau)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) x)))) (neg.f32 tau)))
▶	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))))
	86.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))) (.f32 (PI.f32) (*.f32 x tau)))
	71.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	97.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (neg.f32 (PI.f32)))) tau)))
▶	80.4%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) tau) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32)))))
	80.1%	(/.f32 (.f32 #s(approx (sin ( (PI) (* x tau))) (.f32 tau (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	97.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (neg.f32 x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
	79.1%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
▶	63.9%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	80.2%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 (fma.f32 x (.f32 x (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 x tau)))
	64.5%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
	97.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))))
	96.8%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
	63.7%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) x)) (.f32 tau (.f32 x (*.f32 (PI.f32) (PI.f32))))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) tau)) (.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 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 x (sqrt.f32 (PI.f32))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	95.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (*.f32 x (PI.f32))))
✓	98.1%	(.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))))
	86.1%	(.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 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	71.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) x))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	80.1%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau)))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	80.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	80.0%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (fma.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
	84.9%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (fma.f32 (.f32 x x) (fma.f32 (.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 (.f32 tau tau) #s(literal 1/36 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
	64.8%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
	80.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	96.7%	#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 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
	96.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 x (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))))))
	97.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (.f32 x tau)))))
	97.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 x tau))) (PI.f32)))))
	97.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) (.f32 x x))))))
	79.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 #s(approx (sin ( x (* tau (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau)))) (.f32 tau (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
✓	64.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 759 to 1 521 computations (44.9% saved)

simplify192.0ms (1.5%)

Memory

6.7MiB live, 334.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))
cost-diff	0	(cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32))))
cost-diff	0	(-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))
cost-diff	0	(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))))
cost-diff	0	(.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (PI.f32)))
cost-diff	0	#s(approx (/ (sin (* (PI) (* x tau))) tau) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (PI.f32))))
cost-diff	0	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) tau) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
cost-diff	0	(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) tau) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32)))))
cost-diff	0	(*.f32 tau (PI.f32))
cost-diff	0	(.f32 x (.f32 tau (PI.f32)))
cost-diff	0	#s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32))))
cost-diff	0	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.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))))
cost-diff	160	(.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)))
cost-diff	192	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.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 (PI.f32) (.f32 x tau)))
cost-diff	3584	(pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1 binary32))

Rules

4 054×	`lower-*.f64`
4 004×	`lower-*.f32`
2 914×	`lower-/.f64`
2 900×	`lower-/.f32`
2 304×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	557
0	106	559
1	214	519
2	623	519
3	2658	519
4	3269	519
5	4422	519
6	6527	519
0	8434	519

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (1.4%)

Memory

20.0MiB live, 337.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.38509750976844204	(.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))
accuracy	0.4225387695368841	(*.f32 (PI.f32) (fma.f32 x tau x))
accuracy	0.7423927873178173	(-.f32 (*.f32 (PI.f32) tau) (PI.f32))
accuracy	10.420226937524541	(-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))
accuracy	0.32650375976844204	(.f32 (PI.f32) (.f32 x tau))
accuracy	0.3416826606268994	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.37861254884221013	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))))
accuracy	0.38509750976844204	(.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))
accuracy	0.4431687934055951	(fma.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (PI.f32))
accuracy	1.0	(.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	5.888438744187134	#s(approx (/ (sin (* (PI) (* x tau))) tau) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (PI.f32))))
accuracy	0.32650375976844204	(.f32 (PI.f32) (.f32 x tau))
accuracy	0.3515625	(*.f32 tau (PI.f32))
accuracy	0.35775375976844204	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
accuracy	11.223098173845743	#s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32))))
accuracy	0.32650375976844204	(.f32 (PI.f32) (.f32 x tau))
accuracy	0.3416826606268994	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.35775375976844204	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.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 (PI.f32) (.f32 x tau)))
accuracy	0.42091752930532605	(.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)))

Samples

100.0ms

256×

valid

Compiler

Compiled 497 to 55 computations (88.9% saved)

Precisions

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

ival-mult: 36.0ms (46.7% of total)

ival-div: 12.0ms (15.6% of total)

ival-sin: 9.0ms (11.7% of total)

ival-cos: 6.0ms (7.8% of total)

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

const: 4.0ms (5.2% of total)

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

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

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

exact: 1.0ms (1.3% of total)

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

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

series48.0ms (0.4%)

Memory

-0.4MiB live, 78.5MiB allocated

Counts

26 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* (PI) (+ (* x tau) x))
2.0ms	x	@	0	(/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* (PI) (+ (* x tau) x)))) (* (* (PI) (* x (* (PI) (* x tau)))) 2))
2.0ms	x	@	0	(* x (+ (* (* x x) (* (* tau tau) (* (* (PI) (* (PI) (PI))) -1/6))) (PI)))
2.0ms	tau	@	-inf	(/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* (PI) (+ (* x tau) x)))) (* (* (PI) (* x (* (PI) (* x tau)))) 2))
1.0ms	tau	@	inf	(/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* (PI) (+ (* x tau) x)))) (* (* (PI) (* x (* (PI) (* x tau)))) 2))

simplify289.0ms (2.3%)

Memory

10.3MiB live, 404.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 388×	`lower-fma.f64`
7 388×	`lower-fma.f32`
5 582×	`lower-*.f64`
5 582×	`lower-*.f32`
4 356×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	9293
1	2128	9017
2	4921	8762
3	7763	8762
0	8022	8455

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(* 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
(+ 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 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)))
(* 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 (* (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)))))))))))
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(/ (+ (* 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 (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* (pow x 2) (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(* (pow x 2) (- (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (- (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
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(* (pow x 2) (- (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (- (+ (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* (pow x 2) (- (+ (* -1/720 (pow (- (* tau (PI)) (PI)) 6)) (* (pow x 2) (- (* 1/40320 (pow (- (* tau (PI)) (PI)) 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 (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x)))))
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(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (- (* tau x) (* -1 x)))))
(- (cos (* x (- (* tau (PI)) (PI)))) (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 (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x)))))
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(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x)))))
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(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x)))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* (PI) (+ x (* tau x)))))
1
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(+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* 1/24 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 6))) (* 1/24 (pow (- (* tau (PI)) (PI)) 4)))))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(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 (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* -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))))
(PI)
(+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))
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(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))
(PI)
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(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))
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(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 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)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* -1 (PI))
(- (* tau (PI)) (PI))
(- (* tau (PI)) (PI))
(- (* tau (PI)) (PI))
(* tau (PI))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(* tau (PI))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(* x (* (PI) (+ 1 tau)))
(* x (* (PI) (+ 1 tau)))
(* x (* (PI) (+ 1 tau)))
(* x (* (PI) (+ 1 tau)))
(* x (* (PI) (+ 1 tau)))
(* x (* (PI) (+ 1 tau)))
(* x (* (PI) (+ 1 tau)))
(* x (* (PI) (+ 1 tau)))
(* -1 (* x (* (PI) (- (* -1 tau) 1))))
(* -1 (* x (* (PI) (- (* -1 tau) 1))))
(* -1 (* x (* (PI) (- (* -1 tau) 1))))
(* -1 (* x (* (PI) (- (* -1 tau) 1))))
(* x (PI))
(+ (* tau (* x (PI))) (* x (PI)))
(+ (* tau (* x (PI))) (* x (PI)))
(+ (* tau (* x (PI))) (* x (PI)))
(* tau (* x (PI)))
(* tau (+ (* x (PI)) (/ (* x (PI)) tau)))
(* tau (+ (* x (PI)) (/ (* x (PI)) tau)))
(* tau (+ (* x (PI)) (/ (* x (PI)) tau)))
(* tau (* x (PI)))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))

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

rewrite338.0ms (2.7%)

Memory

-19.1MiB live, 535.6MiB allocated

Rules

4 506×	`lower-*.f64`
4 456×	`lower-*.f32`
4 284×	`lower-fma.f64`
4 280×	`lower-fma.f32`
4 210×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	391
0	106	384
1	362	335
2	2410	335
0	8350	330

Stop Event

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

Counts

26 → 1 282

Calls

Call 1

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

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

eval303.0ms (2.4%)

Memory: 10.2MiB live, 348.9MiB allocated
Compiler: Compiled 71 657 to 3 906 computations (94.5% saved)

prune652.0ms (5.2%)

Memory

35.3MiB live, 579.2MiB allocated

Pruning

62 alts after pruning (60 fresh and 2 done)

	Pruned	Kept	Total
New	2 023	33	2 056
Fresh	21	27	48
Picked	5	0	5
Done	0	2	2
Total	2 049	62	2 111

Accuracy

99.9%

Counts

2 111 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	63.9%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) tau)) x)
	68.0%	(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (fma.f32 x tau x))))))) (.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 x tau) #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))))))
	64.0%	(/.f32 (-.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 x tau) #s(literal 2 binary32)))) (.f32 (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 x tau) #s(literal 2 binary32)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))))) (.f32 (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 x tau) #s(literal 2 binary32)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 x tau) #s(literal 2 binary32))))))
	66.0%	(/.f32 (-.f32 (cos.f32 (fma.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 x (neg.f32 (PI.f32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
	66.2%	(/.f32 (-.f32 (cos.f32 (/.f32 (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x tau) (.f32 x (.f32 x (.f32 tau tau))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x x)))) (fma.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) (.f32 x tau)) (fma.f32 (PI.f32) (.f32 x (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x)))))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
	66.1%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 x tau (neg.f32 x)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
	66.1%	(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x)) #s(literal 2 binary32)))
▶	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
	31.1%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) #s(literal 1 binary32)) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))) (*.f32 x tau))
▶	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x)))))) (.f32 (PI.f32) (.f32 x tau)))
	85.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) #s(approx (pow (/ 1 (sin ( (PI) x))) -1) (.f32 x (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)))))) (.f32 (PI.f32) (*.f32 x tau)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (.f32 x tau)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 x tau))) (PI.f32)))
	86.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))) (.f32 (PI.f32) (*.f32 x tau)))
	71.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	80.4%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) tau) (.f32 x (fma.f32 (.f32 (.f32 x (.f32 x (.f32 tau tau))) #s(literal -1/6 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32)))))
	97.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (neg.f32 x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
	64.0%	(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (PI.f32)))))
	63.8%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (.f32 x tau)))
	64.5%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (.f32 (PI.f32) (.f32 x tau)))
▶	79.1%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
	79.2%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (PI.f32) tau (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))))))) (.f32 (PI.f32) (.f32 x tau)))
	63.8%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	63.9%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 (PI.f32) x) tau))
	80.2%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 (fma.f32 x (.f32 x (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 x tau)))
	63.7%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (sin (* (PI) x))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))))
	64.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x tau) (/.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) (PI.f32))))
	63.7%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) x)) (.f32 tau (.f32 x (*.f32 (PI.f32) (PI.f32))))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	95.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	98.1%	(.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))))
	86.1%	(.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 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	71.8%	(.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)))
▶	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) x))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	80.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* (PI) (* x tau))) tau) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) (PI.f32)))) x))
	63.9%	(.f32 (/.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
	97.5%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
	80.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (PI) (* x tau))) tau) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32)))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) x)))))
	97.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 x tau)) (*.f32 (PI.f32) x)))))
	80.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	63.7%	#s(approx (/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* (PI) (+ (* x tau) x)))) (* (* (PI) (* x (* (PI) (* x tau)))) 2)) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1/2 binary32) (.f32 tau (*.f32 (PI.f32) (PI.f32))))))
▶	6.3%	#s(approx (/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* (PI) (+ (* x tau) x)))) (* (* (PI) (* x (* (PI) (* x tau)))) 2)) #s(literal 0 binary32))
	80.0%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (fma.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
	84.9%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (fma.f32 (.f32 x x) (fma.f32 (.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 (.f32 tau tau) #s(literal 1/36 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
	80.0%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	64.8%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
	96.7%	#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 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 x (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))))))
	97.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 x tau))) (PI.f32)))))
	97.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) (.f32 x x))))))
✓	64.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 3 241 to 1 707 computations (47.3% saved)

simplify723.0ms (5.7%)

Memory

-216.9MiB live, 283.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) tau))
cost-diff	192	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) x))))
cost-diff	0	(fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))
cost-diff	0	#s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32)))
cost-diff	0	(-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))))
cost-diff	0	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
cost-diff	0	(.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) (.f32 tau (PI.f32))))
cost-diff	0	#s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) (.f32 tau (PI.f32)))))
cost-diff	0	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
cost-diff	160	(fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) (*.f32 tau (PI.f32)))
cost-diff	0	#s(approx (/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* (PI) (+ (* x tau) x)))) (* (* (PI) (* x (* (PI) (* x tau)))) 2)) #s(literal 0 binary32))
cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x))))))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
cost-diff	192	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x)))))) (.f32 (PI.f32) (.f32 x tau)))
cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x))))

Rules

9 600×	`lower-fma.f64`
9 590×	`lower-fma.f32`
6 018×	`lower-*.f64`
5 974×	`lower-*.f32`
4 166×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	608
0	119	574
1	243	574
2	741	567
3	3717	567
0	8147	563

Stop Event

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

Calls

Call 1

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

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

localize213.0ms (1.7%)

Memory

2.9MiB live, 322.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.3416826606268994	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.3515625	(*.f32 (PI.f32) tau)
accuracy	0.35384750976844204	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) tau))
accuracy	0.4567375488422101	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) x))))
accuracy	0.4225387695368841	(*.f32 (PI.f32) (fma.f32 x tau x))
accuracy	0.5286712890737681	(*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))
accuracy	5.480610628815575	#s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32)))
accuracy	10.420226937524541	(-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))))
accuracy	0.35775375976844204	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.42578125	(.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	6.283465644162555	#s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) (.f32 tau (PI.f32)))))
accuracy	29.982248396025096	#s(approx (/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* (PI) (+ (* x tau) x)))) (* (* (PI) (* x (* (PI) (* x tau)))) 2)) #s(literal 0 binary32))
accuracy	0.32650375976844204	(.f32 (PI.f32) (.f32 x tau))
accuracy	0.3416826606268994	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.35775375976844204	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x)))))) (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.42091752930532605	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x)))))

Samples

132.0ms

256×

valid

Compiler

Compiled 523 to 60 computations (88.5% saved)

Precisions

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

ival-mult: 43.0ms (38.7% of total)

ival-div: 28.0ms (25.2% of total)

ival-cos: 16.0ms (14.4% of total)

ival-sin: 10.0ms (9% of total)

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

const: 4.0ms (3.6% of total)

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

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

exact: 1.0ms (0.9% of total)

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

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

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

series41.0ms (0.3%)

Memory

-2.7MiB live, 75.7MiB allocated

Counts

22 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
3.0ms	tau	@	inf	(+ (* (* x x) (* (* (PI) (* (PI) (PI))) (* -1/6 (* (+ (* tau tau) 1) tau)))) (* tau (PI)))
1.0ms	tau	@	0	(+ (* (* x x) (* (* (PI) (* (PI) (PI))) (* -1/6 (* (+ (* tau tau) 1) tau)))) (* tau (PI)))
1.0ms	x	@	0	(+ (* (* x x) (* (* (PI) (* (PI) (PI))) (* -1/6 (* (+ (* tau tau) 1) tau)))) (* tau (PI)))
1.0ms	tau	@	-inf	(/ (sin (* (PI) (* x tau))) (* (PI) tau))
1.0ms	x	@	inf	(+ (* (* x x) (* (* (PI) (* (PI) (PI))) (* -1/6 (* (+ (* tau tau) 1) tau)))) (* tau (PI)))

simplify344.0ms (2.7%)

Memory

-8.0MiB live, 380.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 866×	`lower-fma.f64`
6 866×	`lower-fma.f32`
5 892×	`lower-*.f64`
5 892×	`lower-*.f32`
4 104×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	630	9175
1	2129	8867
2	4958	8520
0	8286	8172

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 442

Calls

Call 1

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

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

rewrite389.0ms (3.1%)

Memory

41.6MiB live, 631.5MiB allocated

Rules

4 818×	`lower-*.f64`
4 774×	`lower-*.f32`
4 626×	`lower-/.f64`
4 610×	`lower-/.f32`
3 752×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	428
0	120	378
1	436	374
2	3315	366
0	9058	362

Stop Event

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

Counts

22 → 1 083

Calls

Call 1

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

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

eval185.0ms (1.5%)

Memory: -7.0MiB live, 503.0MiB allocated
Compiler: Compiled 68 216 to 4 035 computations (94.1% saved)

prune570.0ms (4.5%)

Memory

33.9MiB live, 1 142.6MiB allocated

Pruning

107 alts after pruning (102 fresh and 5 done)

	Pruned	Kept	Total
New	1 639	55	1 694
Fresh	8	47	55
Picked	2	3	5
Done	0	2	2
Total	1 649	107	1 756

Accuracy

99.9%

Counts

1 756 → 107

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.0%	(/.f32 (/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (PI.f32) tau)))) (PI.f32)) x) tau)
	79.1%	(/.f32 (/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (PI.f32) tau)))) (PI.f32)) tau) x)
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) x))) (*.f32 x tau))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	63.9%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) tau)) x)
	79.1%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (PI.f32) tau)))) (*.f32 (PI.f32) x)) tau)
	79.2%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (PI.f32) tau)))) (*.f32 x tau)) (PI.f32))
	79.1%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (PI.f32) tau)))) (PI.f32)) (*.f32 x tau))
	48.0%	(/.f32 (-.f32 (/.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 x x) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) #s(literal 1 binary32))) (PI.f32)) (/.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))) (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x tau)) #s(literal 2 binary32))))
	68.0%	(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (fma.f32 x tau x))))))) (.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 x tau) #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))))))
	66.0%	(/.f32 (-.f32 (cos.f32 (fma.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 x (neg.f32 (PI.f32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
	66.2%	(/.f32 (-.f32 (cos.f32 (/.f32 (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x tau) (.f32 x (.f32 x (.f32 tau tau))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x x)))) (fma.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) (.f32 x tau)) (fma.f32 (PI.f32) (.f32 x (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x)))))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
	66.1%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 x tau (neg.f32 x)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
	66.1%	(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x)) #s(literal 2 binary32)))
	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (.f32 x #s(literal -1/2 binary32))) x #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 x x) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))))
	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (fma.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (neg.f32 (PI.f32)) (.f32 (PI.f32) (.f32 tau (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 (fma.f32 (.f32 (PI.f32) tau) x (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	49.8%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 (.f32 (.f32 (fma.f32 x tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (*.f32 (PI.f32) x) tau))) #s(literal 2 binary32)))
	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (*.f32 (PI.f32) tau) x))) #s(literal 2 binary32)))
	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 #s(approx ( (PI) (+ (* x tau) x)) (.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	10.6%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 #s(approx ( (PI) (+ (* x tau) x)) (.f32 x (PI.f32))))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	49.8%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (cos.f32 #s(approx ( (PI) (+ (* x tau) x)) (.f32 tau (.f32 x (+.f32 (/.f32 (PI.f32) tau) (PI.f32))))))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(approx (* (+ (* (PI) tau) (neg (PI))) (+ (* (PI) tau) (neg (PI)))) (fma.f32 tau (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 tau #s(literal -2 binary32))) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(approx (* (+ (* (PI) tau) (neg (PI))) (+ (* (PI) tau) (neg (PI)))) (.f32 (.f32 tau tau) (fma.f32 (PI.f32) (+.f32 (PI.f32) (/.f32 (PI.f32) (.f32 tau tau))) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) tau))))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
	49.9%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(approx (* (+ (* (PI) tau) (neg (PI))) (+ (* (PI) tau) (neg (PI)))) (.f32 (.f32 tau tau) (fma.f32 (PI.f32) (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 (PI.f32) (neg.f32 tau)) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))) (neg.f32 tau))))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	32.5%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(approx (* (+ (* (PI) tau) (neg (PI))) (+ (* (PI) tau) (neg (PI)))) (.f32 (.f32 tau tau) (fma.f32 (PI.f32) (PI.f32) (.f32 #s(literal -2 binary32) (/.f32 (.f32 (PI.f32) (PI.f32)) tau))))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	31.0%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(approx (* (+ (* (PI) tau) (neg (PI))) (+ (* (PI) tau) (neg (PI)))) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
	47.3%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) #s(approx (+ (* (* -1/2 (* x x)) (* (+ (* (PI) tau) (neg (PI))) (+ (* (PI) tau) (neg (PI))))) 1) (.f32 (.f32 tau tau) (fma.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) tau))))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	5.3%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) #s(approx (+ (* (* -1/2 (* x x)) (* (+ (* (PI) tau) (neg (PI))) (+ (* (PI) tau) (neg (PI))))) 1) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	31.1%	(/.f32 (-.f32 #s(approx (cos (* x (- (* (PI) tau) (PI)))) #s(approx (+ (* (* -1/2 (* x x)) (* (+ (* (PI) tau) (neg (PI))) (+ (* (PI) tau) (neg (PI))))) 1) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) (*.f32 x x))))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
✓	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x)))))) (.f32 (PI.f32) (.f32 x tau)))
	85.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) #s(approx (pow (/ 1 (sin ( (PI) x))) -1) (.f32 x (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)))))) (.f32 (PI.f32) (*.f32 x tau)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) x)) (.f32 x tau)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 x tau))) (PI.f32)))
	86.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))) (.f32 (PI.f32) (*.f32 x tau)))
	71.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	80.4%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) tau) (.f32 x (fma.f32 (.f32 (.f32 x (.f32 x (.f32 tau tau))) #s(literal -1/6 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32)))))
	97.1%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (.f32 (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (*.f32 x (neg.f32 (PI.f32)))))))
	64.0%	(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (PI.f32)))))
	79.2%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 (.f32 (.f32 tau (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 x (.f32 x x))))) (.f32 (PI.f32) (.f32 x tau)))
	79.2%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (PI.f32) x) tau (.f32 (.f32 (.f32 tau (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 x (.f32 x x))))) (.f32 (PI.f32) (*.f32 x tau)))
	79.2%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (PI.f32) tau) x (.f32 (.f32 (.f32 tau (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 x (.f32 x x))))) (.f32 (PI.f32) (*.f32 x tau)))
	79.5%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 x tau) (PI.f32) (.f32 (.f32 (.f32 tau (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 x (.f32 x x))))) (.f32 (PI.f32) (*.f32 x tau)))
	79.1%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (fma.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (PI.f32) tau)) x)) (.f32 (PI.f32) (.f32 x tau)))
	63.8%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) (.f32 x tau)))
	79.1%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 (.f32 tau (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x tau)))
	79.1%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) (.f32 tau (PI.f32))))) (.f32 (.f32 (PI.f32) x) tau))
	79.3%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) (.f32 tau (PI.f32))))) (.f32 (.f32 (PI.f32) tau) x))
	70.2%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(approx ( -1/6 (* (+ (* tau tau) 1) tau)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))))) (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
	65.0%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(approx ( -1/6 (* (+ (* tau tau) 1) tau)) (.f32 #s(literal -1/6 binary32) tau))) (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
	78.9%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 tau (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))))) (.f32 (PI.f32) (*.f32 x tau)))
	79.2%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (PI.f32) tau (.f32 (.f32 x x) (.f32 (.f32 tau (fma.f32 tau tau #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))))) (.f32 (PI.f32) (.f32 x tau)))
	63.8%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	63.9%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 (PI.f32) x) tau))
	65.0%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x #s(approx (+ ( (* x x) (* (* (PI) (* (PI) (PI))) (* -1/6 (* (+ (* tau tau) 1) tau)))) (* tau (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) tau)))) (.f32 (PI.f32) (*.f32 x tau)))
	78.9%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x #s(approx (+ ( (* x x) (* (* (PI) (* (PI) (PI))) (* -1/6 (* (+ (* tau tau) 1) tau)))) (* tau (PI))) (.f32 (.f32 x x) (fma.f32 (PI.f32) (/.f32 tau (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau tau #s(literal 1 binary32))))))))) (.f32 (PI.f32) (.f32 x tau)))
	78.8%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x #s(approx (+ ( (* x x) (* (* (PI) (* (PI) (PI))) (* -1/6 (* (+ (* tau tau) 1) tau)))) (* tau (PI))) (.f32 (.f32 tau (.f32 tau tau)) (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (/.f32 (PI.f32) (.f32 tau tau))))))) (.f32 (PI.f32) (*.f32 x tau)))
	79.1%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x #s(approx (+ ( (* x x) (* (* (PI) (* (PI) (PI))) (* -1/6 (* (+ (* tau tau) 1) tau)))) (* tau (PI))) (.f32 tau (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)))))) (.f32 (PI.f32) (.f32 x tau)))
	80.2%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 (fma.f32 x (.f32 x (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (PI.f32)) (PI.f32))) #s(literal 1 binary32)) (sin.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) (.f32 x tau)))
	78.9%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (* x (+ (* (* x x) (* (* (PI) (* (PI) (PI))) (* -1/6 (* (+ (* tau tau) 1) tau)))) (* tau (PI)))) (.f32 (.f32 x (.f32 x x)) (fma.f32 (PI.f32) (/.f32 tau (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau tau #s(literal 1 binary32)))))))) (.f32 (PI.f32) (*.f32 x tau)))
	65.2%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (* x (+ (* (* x x) (* (* (PI) (* (PI) (PI))) (* -1/6 (* (+ (* tau tau) 1) tau)))) (* tau (PI)))) (.f32 (.f32 x tau) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
	78.8%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (* x (+ (* (* x x) (* (* (PI) (* (PI) (PI))) (* -1/6 (* (+ (* tau tau) 1) tau)))) (* tau (PI)))) (.f32 (.f32 tau (.f32 tau tau)) (fma.f32 x (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x x)))))))) (.f32 (PI.f32) (.f32 x tau)))
	63.7%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (sin (* (PI) x))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))))
	79.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x tau)) #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (PI.f32) tau))))))
	64.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x tau) (/.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) (PI.f32))))
	79.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x tau) (/.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (PI.f32) tau)))) (PI.f32))))
	63.7%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) x)) (.f32 tau (.f32 x (*.f32 (PI.f32) (PI.f32))))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	95.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	98.1%	(.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))))
	86.1%	(.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 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	71.8%	(.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)))
✓	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (*.f32 (PI.f32) x))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 (PI.f32) x))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	80.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin (* (PI) (* x tau))) tau) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) (PI.f32)))) x))
	63.9%	(.f32 (/.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
	79.0%	(.f32 (/.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (PI.f32) tau)))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
	79.0%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (PI.f32) tau)))))
	49.9%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (-.f32 #s(approx (cos ( x (- (* (PI) tau) (PI)))) (fma.f32 (.f32 x x) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) #s(literal 1 binary32))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))))
	97.5%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 (PI.f32) x))))
	80.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (PI) (* x tau))) tau) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32)))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) x)))))
	97.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 x tau)) (*.f32 (PI.f32) x)))))
	79.0%	(.f32 (neg.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (.f32 tau (fma.f32 tau tau #s(literal 1 binary32)))) (.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x (neg.f32 (PI.f32))) tau)))
	88.4%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) x))))
	80.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	6.3%	#s(approx (/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* (PI) (+ (* x tau) x)))) (* (* (PI) (* x (* (PI) (* x tau)))) 2)) #s(literal 0 binary32))
	80.0%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (fma.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
	84.9%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (fma.f32 (.f32 x x) (fma.f32 (.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 (.f32 tau tau) #s(literal 1/36 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
	80.0%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	64.8%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	#s(approx (/ (* (/ (sin (* (PI) (* x tau))) tau) (sin (* x (PI)))) (* x (* (PI) (* x (PI))))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
	96.7%	#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 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
	97.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 x (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))))))
	97.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 x tau))) (PI.f32)))))
	97.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) tau) (.f32 x x))))))
✓	64.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 7 731 to 2 417 computations (68.7% saved)

regimes248.0ms (2%)

Memory

-3.9MiB live, 335.2MiB allocated

Counts

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

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

Calls

4 calls:

76.0ms	(*.f32 x (PI.f32))
60.0ms	(.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))))
52.0ms	tau
43.0ms	x

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes187.0ms (1.5%)

Memory

-14.2MiB live, 232.7MiB allocated

Counts

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

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

Calls

4 calls:

55.0ms	x
45.0ms	(*.f32 x (PI.f32))
40.0ms	tau
39.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes132.0ms (1%)

Memory

11.4MiB live, 211.0MiB allocated

Counts

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

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

Calls

4 calls:

36.0ms	tau
35.0ms	x
28.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
27.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes118.0ms (0.9%)

Memory

27.9MiB live, 226.4MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

32.0ms	(*.f32 x (PI.f32))
27.0ms	tau
27.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
27.0ms	x

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`tau`
97.3%	1	`(*.f32 x (PI.f32))`
97.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes114.0ms (0.9%)

Memory

-17.3MiB live, 222.1MiB allocated

Counts

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

Calls

4 calls:

30.0ms	tau
26.0ms	(*.f32 x (PI.f32))
25.0ms	x
25.0ms	(.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
86.1%	1	`x`
86.1%	1	`tau`
86.1%	1	`(*.f32 x (PI.f32))`
86.1%	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)

regimes72.0ms (0.6%)

Memory

-22.1MiB live, 143.0MiB allocated

Counts

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

Calls

4 calls:

19.0ms	x
17.0ms	(*.f32 x (PI.f32))
17.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
14.0ms	tau

Results

Accuracy	Segments	Branch
80.7%	1	`tau`
80.7%	1	`x`
80.7%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
80.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes63.0ms (0.5%)

Memory

-1.4MiB live, 118.8MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

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

regimes10.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Accuracy

Total -18.6b remaining (-161.6%)

Threshold costs -18.6b (-161.6%)

Counts

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

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	tau
2.0ms	x

Results

Accuracy	Segments	Branch
64.1%	1	`x`
64.1%	1	`(*.f32 x (PI.f32))`
64.1%	1	`tau`
64.1%	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)

simplify8.0ms (0.1%)

Memory

-20.9MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	234
1	82	234

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (8.4%)

Memory

3.6MiB live, 647.5MiB allocated

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: 2 (0.0ms)

Iter	Nodes	Cost
0	41	271
0	71	269
1	228	257
2	1456	251
3	7290	251
0	8096	251
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	391
0	106	384
1	362	335
2	2410	335
0	8350	330

Stop Event

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

Compiler

Compiled 507 to 204 computations (59.8% saved)

preprocess43.0ms (0.3%)

Memory

29.5MiB live, 104.9MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 904 to 342 computations (62.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze21.0ms (0.2%)

sample1.6s (13.1%)

explain180.0ms (1.4%)

preprocess75.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify25.0ms (0.2%)

localize40.0ms (0.3%)

series39.0ms (0.3%)

simplify389.0ms (3.1%)

rewrite367.0ms (2.9%)

eval190.0ms (1.5%)

prune329.0ms (2.6%)

simplify147.0ms (1.2%)

localize602.0ms (4.8%)

series359.0ms (2.9%)

simplify616.0ms (4.9%)

rewrite215.0ms (1.7%)

eval207.0ms (1.6%)

prune626.0ms (5%)

simplify192.0ms (1.5%)

localize171.0ms (1.4%)

series48.0ms (0.4%)

simplify289.0ms (2.3%)

rewrite338.0ms (2.7%)

eval303.0ms (2.4%)

prune652.0ms (5.2%)

simplify723.0ms (5.7%)

localize213.0ms (1.7%)

series41.0ms (0.3%)

simplify344.0ms (2.7%)

rewrite389.0ms (3.1%)

eval185.0ms (1.5%)

prune570.0ms (4.5%)

regimes248.0ms (2%)

regimes187.0ms (1.5%)

regimes132.0ms (1%)

regimes118.0ms (0.9%)

regimes114.0ms (0.9%)

regimes72.0ms (0.6%)

regimes63.0ms (0.5%)

regimes10.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.1s (8.4%)

preprocess43.0ms (0.3%)

end0.0ms (0%)

Profiling