Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze29.0ms (0.2%)

Memory

-14.5MiB live, 40.8MiB 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)

sample1.5s (9.7%)

Memory

41.1MiB live, 2 404.7MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 987.0ms

ival-sin: 327.0ms (33.1% of total)

ival-mult: 200.0ms (20.3% of total)

const: 145.0ms (14.7% of total)

ival-<=: 124.0ms (12.6% of total)

ival-div: 119.0ms (12.1% of total)

ival-pi: 40.0ms (4.1% of total)

ival-and: 22.0ms (2.2% of total)

exact: 8.0ms (0.8% of total)

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

Bogosity

explain127.0ms (0.8%)

Memory

-6.7MiB live, 244.8MiB 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	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

47.0ms

512×

valid

Compiler

Compiled 151 to 34 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sin: 14.0ms (41.3% of total)

ival-mult: 9.0ms (26.6% of total)

ival-div: 8.0ms (23.6% of total)

ival-pi: 2.0ms (5.9% of total)

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

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

preprocess81.0ms (0.5%)

Memory

-6.1MiB live, 73.8MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 10 computations (56.5% saved)

simplify24.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB 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)))

localize59.0ms (0.4%)

Memory

-29.2MiB live, 47.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3125	(*.f32 x (PI.f32))
accuracy	0.3425701238684589	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.41833881837909415	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.4186325195368841	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

34.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

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

ival-sin: 17.0ms (61.5% of total)

ival-mult: 6.0ms (21.7% of total)

ival-div: 3.0ms (10.9% of total)

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

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

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

series30.0ms (0.2%)

Memory

17.5MiB live, 54.3MiB allocated

Counts

6 → 120

Calls

Call 1

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

Outputs
#s(alt 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 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
5.0ms	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))))
2.0ms	x	@	-inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))

simplify429.0ms (2.7%)

Memory

7.3MiB live, 471.0MiB 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))

rewrite244.0ms (1.5%)

Memory

7.7MiB live, 287.7MiB 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))))

eval144.0ms (0.9%)

Memory: 5.1MiB live, 118.3MiB allocated
Compiler: Compiled 24 386 to 2 296 computations (90.6% saved)

prune369.0ms (2.3%)

Memory

15.8MiB live, 377.9MiB allocated

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	976	37	1 013
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	977	37	1 014

Accuracy

99.8%

Counts

1 014 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
▶	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
	69.4%	(/.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)))
▶	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
	97.6%	(/.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))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) x))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (.f32 (PI.f32) (*.f32 x tau))))
	97.5%	(/.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)))))
	97.2%	(/.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)))))
	97.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
	96.9%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.0%	(.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))))
	95.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.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))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) x))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))))
	83.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	69.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.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))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32))))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
▶	97.5%	(.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))))
	76.5%	(.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))))
	97.4%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
	97.3%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))
	97.3%	(.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))))
	77.3%	(.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))))
▶	98.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	82.4%	#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)))
	76.5%	#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)))
	62.6%	#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))))
	96.8%	#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))))))
▶	61.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 822 to 974 computations (46.5% saved)

simplify48.0ms (0.3%)

Memory

-3.7MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 x (PI.f32))
cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
cost-diff	0	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
cost-diff	384	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
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) (.f32 (PI.f32) (*.f32 x tau))))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32))))
cost-diff	192	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
cost-diff	0	(*.f32 x (PI.f32))
cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))
cost-diff	0	(.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))))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
cost-diff	0	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
cost-diff	0	#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))
cost-diff	0	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Rules

906×	`lower-*.f64`
884×	`lower-*.f32`
774×	`lower-/.f64`
758×	`lower-/.f32`
708×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	364
0	61	364
1	117	364
2	322	364
3	981	364
4	1566	364
5	1656	364
6	1669	364
7	1669	364
8	1690	364
9	1690	364
0	1690	364

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize268.0ms (1.7%)

Memory

2.9MiB live, 198.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.34257012386845903	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.375	(.f32 (PI.f32) (.f32 x tau))
accuracy	0.4140625	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
accuracy	0.4215812988422101	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
accuracy	0.33984375	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32))))
accuracy	0.34257012386845903	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.37109375	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
accuracy	0.375	(.f32 (PI.f32) (.f32 x tau))
accuracy	0.34257012386845903	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.37109375	(.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))))
accuracy	0.37109375	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
accuracy	0.375	(.f32 (PI.f32) (.f32 x tau))
accuracy	12.227986725435887	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.3425701238684589	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
accuracy	0.41796875	(*.f32 tau (PI.f32))
accuracy	0.41833881837909415	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.4186325195368841	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))

Samples

155.0ms

256×

valid

Compiler

Compiled 338 to 31 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-sin: 63.0ms (61.6% of total)

ival-div: 21.0ms (20.5% of total)

ival-mult: 16.0ms (15.6% of total)

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

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

exact: 0.0ms (0% of total)

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

series202.0ms (1.3%)

Memory

13.8MiB live, 82.5MiB allocated

Counts

19 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
166.0ms	x	@	-inf	(* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI))))
1.0ms	tau	@	-inf	(* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI))))
1.0ms	tau	@	0	(/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau)))))
1.0ms	tau	@	-inf	(/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau))))
1.0ms	x	@	-inf	(/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau))))

simplify1.0s (6.6%)

Memory

-167.8MiB live, 559.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 868×	`lower-fma.f64`
14 868×	`lower-fma.f32`
6 652×	`lower-*.f64`
6 652×	`lower-*.f32`
4 182×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	6560
1	998	6430
2	3848	6286
3	6376	6282
4	7410	6282
5	7752	6282
6	7941	6282
7	7955	6282
8	7957	6282
9	7957	6282
0	8084	6066

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 394

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

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

rewrite248.0ms (1.6%)

Memory

-21.3MiB live, 424.5MiB allocated

Rules

4 840×	`lower-*.f64`
4 818×	`lower-*.f32`
4 040×	`lower-/.f64`
4 024×	`lower-/.f32`
1 598×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	252
0	61	252
1	204	252
2	1246	242
3	7502	242
0	8703	242

Stop Event

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

Counts

19 → 1 342

Calls

Call 1

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

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

eval210.0ms (1.3%)

Memory: 46.0MiB live, 509.1MiB allocated
Compiler: Compiled 58 537 to 3 678 computations (93.7% saved)

prune919.0ms (5.8%)

Memory

-31.5MiB live, 783.9MiB allocated

Pruning

56 alts after pruning (54 fresh and 2 done)

	Pruned	Kept	Total
New	2 402	34	2 436
Fresh	12	20	32
Picked	3	2	5
Done	0	0	0
Total	2 417	56	2 473

Accuracy

99.8%

Counts

2 473 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (.f32 (.f32 x (.f32 (PI.f32) (*.f32 tau (PI.f32)))) #s(literal 2 binary32))) x)
✓	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
	83.0%	(/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
	97.6%	(/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32)))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (*.f32 tau (PI.f32)))))))
	69.4%	(/.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)))
▶	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
	83.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) x)
	69.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) x)
	97.6%	(/.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))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
	97.7%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 tau (neg.f32 (PI.f32))))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32)))))
	82.6%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
	62.6%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
	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)))))
	83.1%	(/.f32 #s(approx (/ (sin (* x (PI))) (PI)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 x (.f32 (PI.f32) (PI.f32))) x)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) x))
	76.1%	(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
	97.5%	(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x (*.f32 tau (PI.f32)))))) x)
	62.5%	(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x)
	96.9%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.0%	(.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))))
	95.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.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))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) x))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))))
	83.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	69.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.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))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))
▶	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
	97.9%	(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))
	83.0%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	69.3%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	97.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))))
	97.4%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
	97.3%	(.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))))
	97.8%	(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (.f32 x (*.f32 tau (neg.f32 (PI.f32))))))
	77.3%	(.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))))
	83.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (PI.f32))))
	83.5%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #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))))
	69.5%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	89.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
▶	82.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	69.2%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
▶	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
	82.4%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 x (.f32 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)))
	97.1%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
	62.6%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.8%	#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))))))
✓	61.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 775 to 1 503 computations (45.8% saved)

simplify267.0ms (1.7%)

Memory

-18.4MiB live, 100.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32))))
cost-diff	192	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
cost-diff	0	(*.f32 x (PI.f32))
cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x tau))))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
cost-diff	0	(fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
cost-diff	0	(/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)
cost-diff	0	#s(approx (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
cost-diff	0	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
cost-diff	0	(.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
cost-diff	0	(*.f32 x x)
cost-diff	0	(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))
cost-diff	0	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
cost-diff	96	(.f32 (log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
cost-diff	192	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))))
cost-diff	6464	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))

Rules

4 200×	`lower-*.f64`
4 160×	`lower-*.f32`
3 558×	`lower-/.f64`
3 542×	`lower-/.f32`
2 702×	`lower-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	493
0	103	493
1	200	492
2	523	492
3	1588	486
4	2754	484
5	3009	484
6	3262	484
7	3673	484
8	4088	484
9	4377	484
10	6537	484
11	6774	484
12	6782	484
13	6786	484
14	6790	484
15	6790	484
16	6886	484
17	6978	484
18	6998	484
19	6998	484
0	8371	484

Stop Event

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

Calls

Call 1

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

localize242.0ms (1.5%)

Memory

-10.1MiB live, 239.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3425701238684589	(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
accuracy	0.37109375	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
accuracy	0.375	(.f32 (PI.f32) (.f32 x tau))
accuracy	0.41796875	(*.f32 tau (PI.f32))
accuracy	0.37109375	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
accuracy	0.375	(.f32 (PI.f32) (.f32 x tau))
accuracy	0.3828125	(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x tau))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	0.37109375	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
accuracy	0.375	(.f32 (PI.f32) (.f32 x tau))
accuracy	0.41796875	(*.f32 tau (PI.f32))
accuracy	4.975506388711195	#s(approx (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
accuracy	0.35546875	(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
accuracy	0.40234375	(.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	7.504950439502474	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
accuracy	0.3125	(*.f32 x (PI.f32))
accuracy	0.3425701238684589	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.4186325195368841	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	14.412273427095208	(log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))

Samples

143.0ms

256×

valid

Compiler

Compiled 451 to 54 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 65.0ms (58.1% of total)

ival-div: 18.0ms (16.1% of total)

ival-sin: 14.0ms (12.5% of total)

ival-log: 4.0ms (3.6% of total)

const: 4.0ms (3.6% of total)

ival-add: 3.0ms (2.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series156.0ms (1%)

Memory

18.6MiB live, 94.1MiB allocated

Counts

28 → 540

Calls

Call 1

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

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

Calls

135 calls:

Time	Variable		Point	Expression
72.0ms	x	@	-inf	(* (log (/ (* x (PI)) (sin (* x (PI))))) -1)
44.0ms	x	@	inf	(* (log (/ (* x (PI)) (sin (* x (PI))))) -1)
3.0ms	x	@	0	(* (log (/ (* x (PI)) (sin (* x (PI))))) -1)
1.0ms	tau	@	0	(/ (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) x)
1.0ms	tau	@	inf	(/ (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) x)

simplify353.0ms (2.2%)

Memory

31.5MiB live, 342.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 856×	`lower-fma.f64`
11 856×	`lower-fma.f32`
8 252×	`lower-*.f64`
8 252×	`lower-*.f32`
2 690×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	8887
1	1520	8611
2	6171	8341
0	8149	8004

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 539

Calls

Call 1

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

Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (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 (.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 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 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)))
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 (PI.f32) (.f32 (.f32 x x) (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 (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 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (.f32 (.f32 tau tau) (.f32 tau tau))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 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 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (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 tau tau) (.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))))
(+ (* (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 #s(literal -1/6 binary32) (.f32 x (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x x))))))) (/.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 (.f32 tau tau) (fma.f32 (.f32 tau tau) (.f32 (sin.f32 (.f32 x (PI.f32))) (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.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 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* -1/24 (* (pow x 2) (+ (* -24 (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4)))) (* -1/3 (pow (PI) 4)))))))
(.f32 (.f32 x x) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 x (.f32 x (.f32 #s(literal -1/24 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/15 binary32)))))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/24 (+ (* -24 (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4)))) (* -1/3 (pow (PI) 4)))) (* -1/720 (* (pow x 2) (+ (* -720 (+ (* -1/5040 (pow (PI) 6)) (+ (* 1/720 (pow (PI) 6)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4)))))))) (+ (* 10/9 (pow (PI) 6)) (* 120 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4)))))))))))))
(.f32 (.f32 x x) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -7/360 binary32)) #s(literal 120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 10/9 binary32))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -7/360 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/840 binary32)))) (.f32 #s(literal -1/24 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/15 binary32)))))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/24 (+ (* -24 (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4)))) (* -1/3 (pow (PI) 4)))) (* (pow x 2) (+ (* -1/720 (+ (* -720 (+ (* -1/5040 (pow (PI) 6)) (+ (* 1/720 (pow (PI) 6)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4)))))))) (+ (* 10/9 (pow (PI) 6)) (* 120 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4)))))))) (* -1/40320 (* (pow x 2) (+ (* -40320 (+ (* -1/120 (* (pow (PI) 4) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))) (+ (* -1/30240 (pow (PI) 8)) (+ (* 1/362880 (pow (PI) 8)) (* 1/6 (* (pow (PI) 2) (+ (* -1/5040 (pow (PI) 6)) (+ (* 1/720 (pow (PI) 6)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))))))))))) (+ (* -20160 (pow (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))) 2)) (+ (* -1120 (* (pow (PI) 4) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))) (+ (* -70/9 (pow (PI) 8)) (* 6720 (* (pow (PI) 2) (+ (* -1/5040 (pow (PI) 6)) (+ (* 1/720 (pow (PI) 6)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4)))))))))))))))))))))
(.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/40320 binary32) (.f32 (.f32 x x) (fma.f32 #s(literal -40320 binary32) (fma.f32 #s(literal -1/120 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -7/360 binary32)) (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -7/360 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/840 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -11/362880 binary32)))) (fma.f32 #s(literal -20160 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal 49/129600 binary32)) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -7/360 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/840 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 6720 binary32)) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -7/360 binary32)) #s(literal -1120 binary32) (.f32 #s(literal -70/9 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32)))))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -7/360 binary32)) #s(literal 120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 10/9 binary32))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -7/360 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/840 binary32))))) (.f32 #s(literal -1/24 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/15 binary32)))) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* -1 (+ (log (/ (PI) (sin (* x (PI))))) (* -1 (log (/ 1 x)))))
(-.f32 (neg.f32 (log.f32 x)) (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(* -1 (+ (log (/ (PI) (sin (* x (PI))))) (* -1 (log (/ 1 x)))))
(-.f32 (neg.f32 (log.f32 x)) (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(* -1 (+ (log (/ (PI) (sin (* x (PI))))) (* -1 (log (/ 1 x)))))
(-.f32 (neg.f32 (log.f32 x)) (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(* -1 (+ (log (/ (PI) (sin (* x (PI))))) (* -1 (log (/ 1 x)))))
(-.f32 (neg.f32 (log.f32 x)) (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(* -1 (+ (log (* -1 (/ (PI) (sin (* x (PI)))))) (* -1 (log (/ -1 x)))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 (/.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(* -1 (+ (log (* -1 (/ (PI) (sin (* x (PI)))))) (* -1 (log (/ -1 x)))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 (/.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(* -1 (+ (log (* -1 (/ (PI) (sin (* x (PI)))))) (* -1 (log (/ -1 x)))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 (/.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(* -1 (+ (log (* -1 (/ (PI) (sin (* x (PI)))))) (* -1 (log (/ -1 x)))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 (/.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (*.f32 x x) (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)))))))
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(.f32 #s(literal -1/6 binary32) (.f32 tau tau))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* -1/6 (pow tau 2))
(.f32 #s(literal -1/6 binary32) (.f32 tau tau))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* 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)
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (PI)))
(.f32 (PI.f32) (.f32 x tau))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))

rewrite447.0ms (2.8%)

Memory

-9.4MiB live, 468.7MiB allocated

Rules

4 562×	`lower-*.f64`
4 522×	`lower-*.f32`
4 332×	`lower-/.f64`
4 316×	`lower-/.f32`
3 544×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	372
0	103	372
1	349	347
2	2184	346
0	8288	344

Stop Event

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

Counts

28 → 1 273

Calls

Call 1

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

Outputs
(exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
(exp.f32 (.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))
(pow.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
(pow.f32 (pow.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1/2 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 x (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (neg.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (neg.f32 (.f32 x (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (neg.f32 (PI.f32)))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 x (PI.f32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 x (neg.f32 (PI.f32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (.f32 x (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
(.f32 (pow.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 x (PI.f32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 x)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))))
(.f32 (pow.f32 (.f32 x (neg.f32 (PI.f32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (neg.f32 x)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (neg.f32 (/.f32 (.f32 x (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))))
(neg.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x tau) (neg.f32 (*.f32 (PI.f32) (PI.f32))))) x))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (*.f32 (PI.f32) tau) (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (.f32 (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (.f32 (PI.f32) tau) (PI.f32)))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 x (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (.f32 (PI.f32) tau) (PI.f32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 x)) (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (neg.f32 x)))
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(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32))
(sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))
(cbrt.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (PI.f32) (PI.f32))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (PI.f32) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (PI.f32)) (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (pow.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32))))
(+.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) #s(literal -1/6 binary32))
(pow.f32 (/.f32 (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32))) #s(literal -1 binary32))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))
(fma.f32 (*.f32 tau #s(literal -1/6 binary32)) tau #s(literal -1/6 binary32))
(-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(-.f32 (/.f32 #s(literal 1/36 binary32) (-.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32))))) (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (-.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32))))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (+.f32 #s(literal 1/36 binary32) (-.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))
(/.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32))) (neg.f32 (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32))) (neg.f32 (+.f32 #s(literal 1/36 binary32) (-.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32))) (neg.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)))) (neg.f32 (neg.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))) (neg.f32 (-.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (fma.f32 (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))))))
(.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))
(.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32))
(exp.f32 (log.f32 (*.f32 (PI.f32) tau)))
(pow.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (PI.f32) tau) #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32))
(/.f32 (neg.f32 (*.f32 (PI.f32) tau)) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(*.f32 (PI.f32) tau)
(*.f32 (PI.f32) (/.f32 tau #s(literal 1 binary32)))
(*.f32 tau (PI.f32))
(*.f32 tau (/.f32 (PI.f32) #s(literal 1 binary32)))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))
(.f32 (.f32 (PI.f32) tau) #s(literal 1 binary32))
(.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)))
(.f32 x (.f32 (PI.f32) tau))
(.f32 (PI.f32) (.f32 x tau))
(.f32 (.f32 x (PI.f32)) tau)
(.f32 tau (.f32 x (PI.f32)))
(.f32 #s(literal 1 binary32) (.f32 x (*.f32 (PI.f32) tau)))
(.f32 (.f32 (PI.f32) tau) x)
(.f32 (.f32 x tau) (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 x tau)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 x tau)))
(.f32 (.f32 (*.f32 x tau) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 x (.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))
(.f32 (.f32 x (PI.f32)) (*.f32 (PI.f32) tau))
(.f32 tau (.f32 x (*.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x tau))
(.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 (PI.f32) tau) (PI.f32))))
(.f32 (.f32 (PI.f32) tau) (*.f32 x (PI.f32)))
(.f32 (.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 x (*.f32 (PI.f32) tau)) (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))
(.f32 (.f32 x (*.f32 (PI.f32) (PI.f32))) tau)
(.f32 (.f32 (PI.f32) (*.f32 (PI.f32) tau)) x)
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)
(.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 x (.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))
(.f32 (.f32 x (PI.f32)) (*.f32 (PI.f32) tau))
(.f32 tau (.f32 x (*.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x tau))
(.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 (PI.f32) tau) (PI.f32))))
(.f32 (.f32 (PI.f32) tau) (*.f32 x (PI.f32)))
(.f32 (.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 x (*.f32 (PI.f32) tau)) (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))
(.f32 (.f32 x (*.f32 (PI.f32) (PI.f32))) tau)
(.f32 (.f32 (PI.f32) (*.f32 (PI.f32) tau)) x)
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)
(.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

eval257.0ms (1.6%)

Memory: -6.7MiB live, 429.6MiB allocated
Compiler: Compiled 57 252 to 4 235 computations (92.6% saved)

prune561.0ms (3.6%)

Memory

35.5MiB live, 981.1MiB allocated

Pruning

86 alts after pruning (82 fresh and 4 done)

	Pruned	Kept	Total
New	2 038	48	2 086
Fresh	15	34	49
Picked	2	3	5
Done	1	1	2
Total	2 056	86	2 142

Accuracy

99.8%

Counts

2 142 → 86

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (.f32 (.f32 x (.f32 (PI.f32) (*.f32 tau (PI.f32)))) #s(literal 2 binary32))) x)
	97.6%	(/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32)))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (*.f32 tau (PI.f32)))))))
	69.4%	(/.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)))
✓	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
	82.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) x)
	97.6%	(/.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))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (*.f32 (PI.f32) tau))))
▶	97.3%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau)))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32)))))
	82.6%	(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
	76.8%	(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (fma.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
	62.6%	(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
	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)))))
	83.1%	(/.f32 #s(approx (/ (sin (* x (PI))) (PI)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 x (.f32 (PI.f32) (PI.f32))) x)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) x))
	76.2%	(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
	76.1%	(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
	97.5%	(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x (*.f32 tau (PI.f32)))))) x)
	97.6%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))))
	96.9%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.0%	(.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))))
	95.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.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))))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
	83.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
▶	69.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	83.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (exp ( (log (/ (* x (PI)) (sin (* x (PI))))) -1)) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
	97.5%	(.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))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))
	94.5%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) tau)) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	97.2%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
▶	97.9%	(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))
	82.8%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.0%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	69.2%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	69.3%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	97.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))))
	97.4%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
	83.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) tau)) x)))
	97.4%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	97.3%	(.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	97.8%	(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (.f32 x (*.f32 tau (neg.f32 (PI.f32))))))
	77.3%	(.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))))
	83.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (PI.f32))))
	83.5%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #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))))
	69.5%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	89.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	96.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	69.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	89.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	82.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x (.f32 (PI.f32) (/.f32 #s(literal -1/6 binary32) tau))) x (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	82.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (/.f32 #s(literal 1 binary32) tau) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	83.0%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (*.f32 (PI.f32) tau) x)))
	82.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)))
	82.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 tau) (.f32 tau (.f32 (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (neg.f32 x)) x))) (.f32 tau (neg.f32 tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	82.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))) tau (.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 tau tau)) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	82.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(approx (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	69.2%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(approx (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
▶	82.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (.f32 (PI.f32) tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	69.2%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 x (PI.f32)) tau) (/.f32 x (.f32 tau (.f32 (.f32 x x) (PI.f32))))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	83.1%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	82.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) x) (.f32 (fma.f32 (PI.f32) (/.f32 #s(literal 1/6 binary32) tau) (/.f32 #s(literal -1 binary32) (.f32 tau (.f32 (.f32 x x) (PI.f32))))) (neg.f32 x)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.4%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
✓	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
	68.1%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #s(literal 1 binary32)))
	62.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	68.1%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
	75.9%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
	97.1%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
	62.6%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	75.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))))
	75.9%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
	96.9%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
▶	62.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
	4.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
✓	61.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 442 to 2 411 computations (45.7% saved)

simplify128.0ms (0.8%)

Memory

-4.2MiB live, 149.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 x (PI.f32))
cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))
cost-diff	0	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau)))))
cost-diff	0	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (.f32 (PI.f32) tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32)))))
cost-diff	192	(/.f32 x (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) tau)))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) tau))))
cost-diff	0	(.f32 (.f32 x (PI.f32)) tau)
cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
cost-diff	0	(.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32)))
cost-diff	0	(fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
cost-diff	0	#s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32)))
cost-diff	0	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
cost-diff	0	#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))
cost-diff	0	(/.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (*.f32 x (PI.f32)))
cost-diff	0	(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))

Rules

3 816×	`lower-*.f64`
3 778×	`lower-*.f32`
2 000×	`lower-/.f64`
1 988×	`lower-/.f32`
1 592×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	547
0	114	546
1	227	541
2	551	535
3	1607	535
4	3051	535
5	3563	532
6	4255	532
7	5504	532
8	6510	532
9	6510	532
0	8098	525

Stop Event

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

Calls

Call 1

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

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

localize186.0ms (1.2%)

Memory

11.0MiB live, 286.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3425701238684589	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
accuracy	0.37728500976844204	(.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))
accuracy	0.4098625488422101	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau)))))
accuracy	0.41796875	(*.f32 (PI.f32) tau)
accuracy	0.375	(.f32 (PI.f32) (.f32 x tau))
accuracy	0.41796875	(*.f32 (PI.f32) tau)
accuracy	0.42578125	(.f32 (.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
accuracy	4.975506388711195	#s(approx (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) tau)))))
accuracy	0.3125	(*.f32 x (PI.f32))
accuracy	0.3425701238684589	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.4186325195368841	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	9.794166833620263	#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))
accuracy	0.34603500976844204	(.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32)))
accuracy	0.3828125	(.f32 (.f32 x x) (PI.f32))
accuracy	7.504950439502474	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
accuracy	12.181742188894411	#s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32)))
accuracy	0.352226269536884	(/.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (*.f32 x (PI.f32)))
accuracy	0.41796875	(*.f32 tau (PI.f32))
accuracy	0.4186325195368841	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
accuracy	0.45150375976844204	(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))

Samples

119.0ms

256×

valid

Compiler

Compiled 427 to 57 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 39.0ms (46% of total)

ival-div: 18.0ms (21.2% of total)

ival-sin: 18.0ms (21.2% of total)

ival-add: 4.0ms (4.7% of total)

const: 4.0ms (4.7% of total)

ival-pi: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.3%)

Memory

-6.2MiB live, 69.1MiB allocated

Counts

29 → 576

Calls

Call 1

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

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

Calls

144 calls:

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

simplify321.0ms (2%)

Memory

1.2MiB live, 465.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 128×	`lower-fma.f64`
15 128×	`lower-fma.f32`
7 942×	`lower-*.f64`
7 942×	`lower-*.f32`
4 428×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	446	8826
1	1427	8662
2	5215	8512
0	8033	8195

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

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

rewrite259.0ms (1.6%)

Memory

26.8MiB live, 492.3MiB allocated

Rules

4 748×	`lower-/.f64`
4 736×	`lower-/.f32`
4 502×	`lower-fma.f64`
4 500×	`lower-fma.f32`
4 382×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	450
0	114	449
1	392	407
2	2383	407
0	8126	403

Stop Event

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

Counts

29 → 885

Calls

Call 1

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

Outputs
(pow.f32 (/.f32 (.f32 x (PI.f32)) (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(/.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))) (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (neg.f32 (PI.f32))) (.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))) (.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (neg.f32 (PI.f32))) (.f32 (neg.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) x) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 x (PI.f32)) (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (/.f32 (.f32 x (PI.f32)) #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))))))
(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32)))
(/.f32 (/.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (.f32 x (PI.f32)) #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))))
(/.f32 (neg.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (neg.f32 (PI.f32))))
(/.f32 (/.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))))) (*.f32 x (neg.f32 (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) x)) (PI.f32))
(/.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))))
(/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (neg.f32 (PI.f32))))
(/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) x) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) x) (PI.f32))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) x)
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 1 binary32))) (neg.f32 (/.f32 (.f32 x (PI.f32)) #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))))))
(/.f32 (neg.f32 (neg.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 x (PI.f32)))))) (neg.f32 (.f32 x (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))))) (neg.f32 (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (PI.f32))))) (neg.f32 (/.f32 (.f32 x (PI.f32)) #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))))))
(/.f32 (neg.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (.f32 x (PI.f32))))) (neg.f32 (.f32 x (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) x) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))) (neg.f32 x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (*.f32 x (PI.f32))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (*.f32 x (PI.f32))))
(.f32 (neg.f32 (.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 x (neg.f32 (PI.f32)))))
(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))))) (/.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 (PI.f32)))))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) x)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (*.f32 x (PI.f32))))
(.f32 (.f32 (neg.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (neg.f32 (PI.f32)))))
(.f32 (.f32 (/.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) x) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32)))
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eval166.0ms (1.1%)

Memory: 7.9MiB live, 433.7MiB allocated
Compiler: Compiled 41 346 to 2 920 computations (92.9% saved)

prune867.0ms (5.5%)

Memory

-5.8MiB live, 1 606.2MiB allocated

Pruning

120 alts after pruning (115 fresh and 5 done)

	Pruned	Kept	Total
New	1 613	61	1 674
Fresh	23	54	77
Picked	3	2	5
Done	1	3	4
Total	1 640	120	1 760

Accuracy

99.9%

Counts

1 760 → 120

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.2%	(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 tau (PI.f32))))) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (cos.f32 (.f32 x (+.f32 (PI.f32) (.f32 tau (PI.f32))))) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 tau (PI.f32))))) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 tau (PI.f32))))) #s(literal 1/2 binary32)) (fma.f32 (.f32 (cos.f32 (.f32 x (+.f32 (PI.f32) (.f32 tau (PI.f32))))) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 x (+.f32 (PI.f32) (.f32 tau (PI.f32))))) #s(literal 1/2 binary32)) (.f32 (.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 tau (PI.f32))))) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 x (+.f32 (PI.f32) (.f32 tau (PI.f32))))) #s(literal 1/2 binary32)))))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
	69.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 tau (PI.f32))) x)
	69.2%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (PI.f32)) (*.f32 x tau))
	97.6%	(/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32)))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (*.f32 tau (PI.f32)))))))
	69.4%	(/.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)))
	69.4%	(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 tau (PI.f32))))) (cos.f32 (.f32 x (+.f32 (PI.f32) (.f32 tau (PI.f32)))))) (.f32 (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 tau (PI.f32))))) #s(literal 2 binary32)))
✓	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
	82.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) x)
	97.6%	(/.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))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (*.f32 (PI.f32) tau))))
	69.3%	(/.f32 (.f32 (-.f32 (cos.f32 (fma.f32 x (.f32 tau (PI.f32)) (.f32 x (neg.f32 (PI.f32))))) (cos.f32 (.f32 x (+.f32 (PI.f32) (.f32 tau (PI.f32)))))) #s(literal 1/2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x tau) x)))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) x))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) tau))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x x) (.f32 (.f32 tau (PI.f32)) (PI.f32))))
	62.6%	(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
	82.8%	(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
	69.2%	(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) 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)))))
	83.1%	(/.f32 #s(approx (/ (sin (* x (PI))) (PI)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 x (.f32 (PI.f32) (PI.f32))) x)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) x))
	76.2%	(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
	76.1%	(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
	69.2%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) tau)))
	69.1%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 x tau))))
	69.3%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) tau) (PI.f32)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.6%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))))
	69.2%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	96.9%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	69.3%	(.f32 (/.f32 (sin.f32 (.f32 (/.f32 x (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	69.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	96.0%	(.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))))
	95.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.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))))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
✓	69.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	83.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (exp ( (log (/ (* x (PI)) (sin (* x (PI))))) -1)) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
	69.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (.f32 x (PI.f32))))
	69.1%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) tau))
	69.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) (PI.f32)))
	69.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) x))
	69.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (*.f32 x tau)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))
	94.5%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) tau)) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	77.1%	(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
✓	97.9%	(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))
	67.5%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	67.8%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	83.0%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	69.3%	(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	97.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))))
	97.3%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 tau (PI.f32)))))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))))
	83.1%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) tau)) x)))
	69.4%	(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (.f32 x (.f32 tau (PI.f32)))))
	83.4%	(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)) (.f32 x (*.f32 tau (PI.f32))))))
	97.8%	(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (.f32 x (*.f32 tau (neg.f32 (PI.f32))))))
	82.6%	(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
	76.8%	(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
	82.5%	(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
	68.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	83.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (PI.f32))))
	83.5%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #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))))
	89.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	96.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	69.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	89.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	89.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau) (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	82.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	82.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)))
	82.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)) (.f32 tau (PI.f32))) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	83.1%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)) (PI.f32)) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (neg.f32 (fma.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32))) (.f32 tau (.f32 x (neg.f32 (PI.f32)))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	82.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(approx (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 tau (PI.f32))) (fma.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	82.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) (.f32 (PI.f32) tau))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	69.1%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(approx (+ 1 (* (PI) (* (* x x) (* (PI) -1/6)))) #s(literal 1 binary32)) (.f32 (PI.f32) tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	82.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 x (fma.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32))) (PI.f32)) tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.1%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 x (fma.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32))) tau) (PI.f32)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	69.2%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.5%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) #s(approx (/ x (/ (+ 1 (* (PI) (* (* x x) (* (PI) -1/6)))) (* (PI) tau))) (.f32 x (.f32 tau (fma.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1/6 binary32) (PI.f32))))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (.f32 (fma.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.9%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (.f32 (/.f32 (fma.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)) (.f32 tau (PI.f32))) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	83.0%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (.f32 (/.f32 (fma.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	82.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 (fma.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 tau (neg.f32 (PI.f32)))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 x (PI.f32)) tau) (/.f32 x (.f32 tau (.f32 (.f32 x x) (PI.f32))))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	83.1%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	82.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) x) (.f32 (fma.f32 (PI.f32) (/.f32 #s(literal 1/6 binary32) tau) (/.f32 #s(literal -1 binary32) (.f32 tau (.f32 (.f32 x x) (PI.f32))))) (neg.f32 x)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ 1 (/ x (/ (+ 1 (* (PI) (* (* x x) (* (PI) -1/6)))) (* (PI) tau)))) (fma.f32 x (.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau)) (/.f32 x (.f32 tau (.f32 x (.f32 x (PI.f32)))))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.8%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ 1 (/ x (/ (+ 1 (* (PI) (* (* x x) (* (PI) -1/6)))) (* (PI) tau)))) (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	82.7%	(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ 1 (/ x (/ (+ 1 (* (PI) (* (* x x) (* (PI) -1/6)))) (* (PI) tau)))) (neg.f32 (.f32 x (fma.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) tau) (/.f32 #s(literal -1 binary32) (.f32 tau (.f32 x (.f32 x (PI.f32)))))))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
	82.4%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
✓	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
	68.1%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #s(literal 1 binary32)))
	68.1%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
	76.5%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
	75.9%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
	97.1%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
	62.6%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	75.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))))
	75.9%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
	96.9%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
	62.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
	62.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	62.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
	62.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
	62.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
	62.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
	62.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))))
	62.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
	62.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
	62.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))))))
	4.8%	#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
✓	61.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 7 514 to 2 408 computations (68% saved)

regimes207.0ms (1.3%)

Memory

5.4MiB live, 388.0MiB allocated

Counts

181 → 1

Calls

Call 1

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

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:

52.0ms	tau
51.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
49.0ms	(*.f32 x (PI.f32))
46.0ms	x

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`tau`
98.0%	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))))`
98.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes193.0ms (1.2%)

Memory

48.9MiB live, 280.2MiB allocated

Counts

149 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
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(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(/.f32 #s(approx (/ (sin (* x (PI))) (PI)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 x (.f32 (PI.f32) (PI.f32))) x)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) x))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) (.f32 (PI.f32) tau))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (/.f32 #s(literal 1 binary32) tau) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (.f32 (PI.f32) tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 (fma.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 tau (neg.f32 (PI.f32)))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))) tau (.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 tau tau)) x)) (sin.f32 (.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) (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 (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 x (.f32 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)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 tau) (.f32 tau (.f32 (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (neg.f32 x)) x))) (.f32 tau (neg.f32 tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.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 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau) (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.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 (.f32 x x) tau) (PI.f32))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(.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))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) tau)) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.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))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x x) (.f32 (.f32 tau (PI.f32)) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) tau))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) x))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x tau) x)))
(/.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)))))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 tau (neg.f32 (PI.f32))))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 tau (PI.f32)))))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Outputs

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

Calls

4 calls:

58.0ms	tau
52.0ms	x
38.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
38.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(*.f32 x (PI.f32))`
98.0%	1	`tau`
98.0%	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)

regimes183.0ms (1.2%)

Memory

-11.9MiB live, 298.1MiB allocated

Counts

145 → 1

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	(.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))))
45.0ms	x
40.0ms	tau
39.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes179.0ms (1.1%)

Memory

-21.6MiB live, 265.5MiB allocated

Counts

139 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #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 (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (.f32 x (.f32 tau (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(approx (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) x))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) tau))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (PI.f32)) (*.f32 x tau))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 tau (PI.f32))) x)
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) tau) (PI.f32)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
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(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau) (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.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 (.f32 x x) tau) (PI.f32))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(.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))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 x (.f32 tau (PI.f32))) (PI.f32)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) tau)) x))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(.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))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 x (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x x) (.f32 (.f32 tau (PI.f32)) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) tau))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x (.f32 (.f32 tau (PI.f32)) (PI.f32))) x))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x tau) x)))
(/.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)))))

Outputs
(.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))))

Calls

4 calls:

46.0ms	tau
41.0ms	(*.f32 x (PI.f32))
38.0ms	x
38.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`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)

regimes158.0ms (1%)

Memory

21.9MiB live, 212.0MiB allocated

Counts

123 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #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 (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
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(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 tau) (.f32 tau (.f32 (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (neg.f32 x)) x))) (.f32 tau (neg.f32 tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.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 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau) (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.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 (.f32 x x) tau) (PI.f32))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))

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

Calls

4 calls:

44.0ms	x
40.0ms	tau
34.0ms	(*.f32 x (PI.f32))
34.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`tau`
97.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.4%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes174.0ms (1.1%)

Memory

28.1MiB live, 254.9MiB allocated

Counts

122 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #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 (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x)
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(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 tau) (.f32 tau (.f32 (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (neg.f32 x)) x))) (.f32 tau (neg.f32 tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.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 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau) (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.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 (.f32 x x) tau) (PI.f32))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))

Outputs

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

Calls

4 calls:

60.0ms	(*.f32 x (PI.f32))
38.0ms	(.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))))
37.0ms	x
33.0ms	tau

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes184.0ms (1.2%)

Memory

-46.9MiB live, 230.8MiB allocated

Counts

120 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #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 (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))))
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#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 tau) (.f32 tau (.f32 (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (neg.f32 x)) x))) (.f32 tau (neg.f32 tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.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 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau) (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.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 (.f32 x x) tau) (PI.f32))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))

Outputs

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

Calls

4 calls:

58.0ms	(*.f32 x (PI.f32))
52.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
38.0ms	tau
31.0ms	x

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
96.9%	1	`(*.f32 x (PI.f32))`
96.9%	1	`tau`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes137.0ms (0.9%)

Memory

27.9MiB live, 254.8MiB allocated

Counts

119 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))))
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#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 (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 x (.f32 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)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 tau) (.f32 tau (.f32 (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (neg.f32 x)) x))) (.f32 tau (neg.f32 tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.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 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau) (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.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 (.f32 x x) tau) (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 (*.f32 x x) tau) (PI.f32))))))

Calls

4 calls:

35.0ms	tau
33.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
33.0ms	(*.f32 x (PI.f32))
31.0ms	x

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`tau`
96.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
96.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes162.0ms (1%)

Memory

-25.6MiB live, 250.2MiB allocated

Counts

118 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))))
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#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 (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 x (.f32 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)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 tau) (.f32 tau (.f32 (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (neg.f32 x)) x))) (.f32 tau (neg.f32 tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.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 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau) (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))

Outputs

(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))

Calls

4 calls:

63.0ms	tau
30.0ms	(*.f32 x (PI.f32))
30.0ms	x
30.0ms	(.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
89.5%	1	`x`
89.5%	1	`tau`
89.5%	1	`(*.f32 x (PI.f32))`
89.5%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes138.0ms (0.9%)

Memory

37.4MiB live, 275.5MiB 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 (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))))
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#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 (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 x (.f32 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)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 tau) (.f32 tau (.f32 (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (neg.f32 x)) x))) (.f32 tau (neg.f32 tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.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 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)

Outputs

(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))

Calls

4 calls:

40.0ms	(*.f32 x (PI.f32))
32.0ms	tau
31.0ms	(.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))))
30.0ms	x

Results

Accuracy	Segments	Branch
89.5%	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))))`
89.5%	1	`tau`
89.5%	1	`x`
89.5%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes233.0ms (1.5%)

Memory

-11.6MiB live, 214.0MiB allocated

Counts

111 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #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 (PI.f32))) (.f32 x (PI.f32))))
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#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 x (.f32 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)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 tau) (.f32 tau (.f32 (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (neg.f32 x)) x))) (.f32 tau (neg.f32 tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
(/.f32 (/.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (PI.f32)) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (.f32 (.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))

Outputs

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

Calls

4 calls:

85.0ms	tau
57.0ms	(*.f32 x (PI.f32))
54.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
31.0ms	x

Results

Accuracy	Segments	Branch
83.5%	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))))`
83.5%	1	`x`
83.5%	1	`tau`
83.5%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes101.0ms (0.6%)

Memory

0.9MiB live, 121.9MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #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 (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (.f32 x (.f32 tau (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(approx (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) x))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) tau))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (PI.f32)) (*.f32 x tau))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 tau (PI.f32))) x)
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) tau) (PI.f32)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(approx (+ 1 (* (PI) (* (* x x) (* (PI) -1/6)))) #s(literal 1 binary32)) (.f32 (PI.f32) tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (/.f32 x (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) tau)))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ 1 (/ x (/ (+ 1 (* (PI) (* (* x x) (* (PI) -1/6)))) (* (PI) tau)))) (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))

Outputs

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

Calls

4 calls:

46.0ms	(*.f32 x (PI.f32))
19.0ms	tau
17.0ms	x
16.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
82.8%	1	`x`
82.8%	1	`tau`
82.8%	1	`(*.f32 x (PI.f32))`
82.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes78.0ms (0.5%)

Memory

0.5MiB live, 124.5MiB allocated

Counts

60 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #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 (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (.f32 x (.f32 tau (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(approx (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) x))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) tau))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (PI.f32)) (*.f32 x tau))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 tau (PI.f32))) x)
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) tau) (PI.f32)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(approx (+ 1 (* (PI) (* (* x x) (* (PI) -1/6)))) #s(literal 1 binary32)) (.f32 (PI.f32) tau))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (/.f32 x (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) tau)))

Outputs

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

Calls

4 calls:

24.0ms	(*.f32 x (PI.f32))
18.0ms	tau
17.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
15.0ms	x

Results

Accuracy	Segments	Branch
76.8%	1	`x`
76.8%	1	`(*.f32 x (PI.f32))`
76.8%	1	`tau`
76.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes70.0ms (0.4%)

Memory

0.3MiB live, 109.1MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) #s(approx (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) (PI.f32)))) (PI.f32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ ( -1/6 (* tau tau)) -1/6) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (PI.f32))) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x (*.f32 x x)) x)) x)
(/.f32 #s(approx (* (/ (sin (* (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (.f32 x (fma.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 x (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (.f32 tau (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal -1/216 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) #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 (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (fma.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(approx (* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (sin (* x (PI)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (.f32 #s(approx (/ (sin ( (* tau (PI)) x)) (* (PI) (* (PI) (* x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) x)
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 tau (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (* (PI) (PI)) (* x tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (.f32 x (.f32 tau (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(approx (+ (* x (/ (* x (* -1/6 (PI))) tau)) (/ 1 (* tau (PI)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (PI.f32)) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) x))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)) tau))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (PI.f32)) (*.f32 x tau))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 tau (PI.f32))) x)

Outputs

#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))

Calls

4 calls:

22.0ms	(*.f32 x (PI.f32))
16.0ms	tau
16.0ms	x
13.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
76.5%	1	`x`
76.5%	1	`tau`
76.5%	1	`(*.f32 x (PI.f32))`
76.5%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes32.0ms (0.2%)

Memory

26.6MiB live, 70.0MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

12.0ms	(*.f32 x (PI.f32))
6.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
6.0ms	tau
6.0ms	x

Results

Accuracy	Segments	Branch
76.5%	1	`x`
76.5%	1	`(*.f32 x (PI.f32))`
76.5%	1	`tau`
76.5%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes23.0ms (0.1%)

Memory

-32.7MiB live, 44.0MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

6.0ms	tau
5.0ms	(.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))))
5.0ms	x
5.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
76.5%	1	`x`
76.5%	1	`(*.f32 x (PI.f32))`
76.5%	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))))`
76.5%	1	`tau`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes19.0ms (0.1%)

Memory

32.4MiB live, 32.4MiB allocated

Counts

14 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
76.5%	1	`x`
76.5%	1	`(*.f32 x (PI.f32))`
76.5%	1	`tau`
76.5%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes21.0ms (0.1%)

Memory

-11.3MiB live, 26.9MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

7.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms	tau
4.0ms	x
4.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
68.1%	1	`x`
68.1%	1	`(*.f32 x (PI.f32))`
68.1%	1	`tau`
68.1%	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)

regimes30.0ms (0.2%)

Memory

-20.4MiB live, 23.8MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

19.0ms	tau
4.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms	(*.f32 x (PI.f32))
4.0ms	x

Results

Accuracy	Segments	Branch
62.8%	1	`tau`
62.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
62.8%	1	`x`
62.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes11.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
62.8%	1	`tau`
62.8%	1	`x`
62.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes10.0ms (0.1%)

Memory

-17.5MiB live, 20.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
62.8%	1	`tau`
62.8%	1	`x`
62.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes7.0ms (0%)

Memory

16.2MiB live, 16.2MiB allocated

Accuracy

Total -18.7b remaining (-152.7%)

Threshold costs -18.7b (-152.7%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

2.0ms	x
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))))
1.0ms	tau
1.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
61.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
61.8%	1	`tau`
61.8%	1	`x`
61.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify147.0ms (0.9%)

Memory

3.9MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Rules

928×	`distribute-lft-neg-in_binary32`
784×	`neg-mul-1_binary32`
610×	`neg-sub0_binary32`
584×	`unsub-neg_binary32`
526×	`distribute-lft-neg-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	868
1	242	868
2	259	868
3	282	866
4	313	866
5	367	866
6	459	866
7	617	866
8	1011	866
9	1681	866
10	2228	866
11	2671	866
12	3022	866
13	3255	866
14	3281	866
15	3292	866
16	3302	866
17	3357	866
18	3392	866
19	3441	866
20	3487	866
21	3527	866
22	3561	866
23	3576	866
24	3579	866

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 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 tau (neg.f32 (PI.f32))))))
(.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))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) 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 (.f32 x x) tau) (PI.f32))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau) (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #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 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ 1 (/ x (/ (+ 1 (* (PI) (* (* x x) (* (PI) -1/6)))) (* (PI) tau)))) (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(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 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 tau (neg.f32 (PI.f32))))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))
(.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))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau (.f32 x x)))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) (.f32 (.f32 x x) (PI.f32))) tau))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 (PI.f32) (.f32 (PI.f32) (.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 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 tau (.f32 x x)))))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau) (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau) (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32)))) x)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (/.f32 (.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))) #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 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ 1 (/ x (/ (+ 1 (* (PI) (* (* x x) (* (PI) -1/6)))) (* (PI) tau)))) (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (.f32 x (.f32 tau (PI.f32)))))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ 1 (/ x (/ (+ 1 (* (PI) (* (* x x) (* (PI) -1/6)))) (* (PI) tau)))) (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (.f32 x (*.f32 (PI.f32) tau))))))
(.f32 #s(approx (/ (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) #s(approx (/ (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) (fma.f32 tau (.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #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))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) (fma.f32 (.f32 x x) #s(approx ( (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ (/ (sin (* x (PI))) (PI)) (* (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))) x)) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (fma.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

soundness2.9s (18.2%)

Memory

-182.4MiB live, 1 677.4MiB allocated

Rules

16 966×	`lower-fma.f64`
16 966×	`lower-fma.f32`
15 128×	`lower-fma.f64`
15 128×	`lower-fma.f32`
14 868×	`lower-fma.f64`

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
0	458	8887
1	1520	8611
2	6171	8341
0	8149	8004
0	446	8826
1	1427	8662
2	5215	8512
0	8033	8195
0	36	252
0	61	252
1	204	252
2	1246	242
3	7502	242
0	8703	242
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	306	6560
1	998	6430
2	3848	6286
3	6376	6282
4	7410	6282
5	7752	6282
6	7941	6282
7	7955	6282
8	7957	6282
9	7957	6282
0	8084	6066
0	69	450
0	114	449
1	392	407
2	2383	407
0	8126	403
0	58	372
0	103	372
1	349	347
2	2184	346
0	8288	344

Stop Event

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

Compiler

Compiled 1 292 to 555 computations (57% saved)

preprocess165.0ms (1%)

Memory

9.7MiB live, 275.8MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 2 408 to 874 computations (63.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze29.0ms (0.2%)

sample1.5s (9.7%)

explain127.0ms (0.8%)

preprocess81.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.1%)

localize59.0ms (0.4%)

series30.0ms (0.2%)

simplify429.0ms (2.7%)

rewrite244.0ms (1.5%)

eval144.0ms (0.9%)

prune369.0ms (2.3%)

simplify48.0ms (0.3%)

localize268.0ms (1.7%)

series202.0ms (1.3%)

simplify1.0s (6.6%)

rewrite248.0ms (1.6%)

eval210.0ms (1.3%)

prune919.0ms (5.8%)

simplify267.0ms (1.7%)

localize242.0ms (1.5%)

series156.0ms (1%)

simplify353.0ms (2.2%)

rewrite447.0ms (2.8%)

eval257.0ms (1.6%)

prune561.0ms (3.6%)

simplify128.0ms (0.8%)

localize186.0ms (1.2%)

series43.0ms (0.3%)

simplify321.0ms (2%)

rewrite259.0ms (1.6%)

eval166.0ms (1.1%)

prune867.0ms (5.5%)

regimes207.0ms (1.3%)

regimes193.0ms (1.2%)

regimes183.0ms (1.2%)

regimes179.0ms (1.1%)

regimes158.0ms (1%)

regimes174.0ms (1.1%)

regimes184.0ms (1.2%)

regimes137.0ms (0.9%)

regimes162.0ms (1%)

regimes138.0ms (0.9%)

regimes233.0ms (1.5%)

regimes101.0ms (0.6%)

regimes78.0ms (0.5%)

regimes70.0ms (0.4%)

regimes32.0ms (0.2%)

regimes23.0ms (0.1%)

regimes19.0ms (0.1%)

regimes21.0ms (0.1%)

regimes30.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0%)

simplify147.0ms (0.9%)

soundness2.9s (18.2%)

preprocess165.0ms (1%)

end0.0ms (0%)

Profiling