Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze21.0ms (0.1%)

Memory

2.0MiB live, 39.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample2.6s (18.2%)

Memory

38.5MiB live, 2 329.2MiB allocated

Samples

2.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 394.0ms (24.5% of total)

ival-sin: 386.0ms (24% of total)

ival-<=: 302.0ms (18.8% of total)

const: 221.0ms (13.8% of total)

ival-div: 202.0ms (12.6% of total)

ival-pi: 70.0ms (4.4% of total)

ival-and: 22.0ms (1.4% of total)

exact: 8.0ms (0.5% of total)

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

Bogosity

explain160.0ms (1.1%)

Memory

25.6MiB live, 264.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
2	-	2	(0.996330738067627 1.6966841220855713)	`(sin.f32 (*.f32 x (PI.f32)))`
2	-	2	(0.644745409488678 1.5643352270126343)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	6
-	0	250

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	3	3
-	0	0	250

Precision?

1.0

Recall?

0.5

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms

512×

valid

Compiler

Compiled 151 to 34 computations (77.5% saved)

Precisions

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

ival-sin: 38.0ms (66.6% of total)

ival-mult: 10.0ms (17.5% of total)

ival-div: 6.0ms (10.5% of total)

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

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

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

preprocess106.0ms (0.7%)

Memory

-3.4MiB live, 106.4MiB 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: 0.7MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Compiler

Compiled 23 to 10 computations (56.5% saved)

simplify25.0ms (0.2%)

Memory

11.6MiB live, 48.8MiB 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)))

localize53.0ms (0.4%)

Memory

-31.3MiB live, 100.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.37540208107880035	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.3841400390737681	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.4215812988422101	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

Samples

38.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 7.0ms (40.1% of total)

ival-mult: 6.0ms (34.4% of total)

ival-div: 3.0ms (17.2% of total)

ival-pi: 1.0ms (5.7% of total)

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

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

series33.0ms (0.2%)

Memory

-4.8MiB live, 76.7MiB 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	tau	@	inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
3.0ms	x	@	inf	(* x (PI))
3.0ms	x	@	0	(/ (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))))

simplify342.0ms (2.4%)

Memory

32.1MiB live, 607.4MiB 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))

rewrite452.0ms (3.1%)

Memory

-342.0MiB live, 484.8MiB 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))))

eval100.0ms (0.7%)

Memory: 3.1MiB live, 244.5MiB allocated
Compiler: Compiled 24 386 to 2 296 computations (90.6% saved)

prune271.0ms (1.9%)

Memory

-9.9MiB live, 344.9MiB allocated

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	976	37	1 013
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	976	38	1 014

Accuracy

99.5%

Counts

1 014 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.8%	(/.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))
	96.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) tau) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32)))))
	96.8%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
	68.5%	(/.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)))
	97.3%	(/.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)
	68.5%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))) #s(literal 2 binary32))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))) x)
▶	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.2%	(/.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 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (neg.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	96.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32))))))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (.f32 tau (sqrt.f32 (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 x (PI.f32))))
✓	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.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)))))
	97.4%	(.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))))
	84.5%	(.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)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (.f32 x (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	97.0%	(.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))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
	96.9%	(.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))))))
	97.0%	(.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))))
	96.8%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (*.f32 x (PI.f32))))))
▶	97.1%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) (neg.f32 tau))))
	96.9%	(.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)))))
	97.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
	78.4%	(.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))))
▶	97.7%	(.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))))
	83.0%	#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)))
	77.6%	#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)))
	62.4%	#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))))
	96.7%	#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))))))
▶	61.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 799 to 964 computations (46.4% saved)

simplify128.0ms (0.9%)

Memory

31.7MiB live, 186.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
cost-diff	0	(/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x)
cost-diff	192	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 tau)))
cost-diff	320	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) (neg.f32 tau))))
cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff	192	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))
cost-diff	0	(.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))))
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

3 318×	`lower-*.f64`
3 294×	`lower-*.f32`
2 750×	`lower-fma.f64`
2 750×	`lower-fma.f32`
2 408×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	362
0	63	360
1	131	360
2	380	360
3	1416	360
4	3995	360
5	7149	360
0	8051	360

Stop Event

1×	iter limit
1×	node limit
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 (PI.f32) (.f32 x tau))) (.f32 x (.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 x (.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 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 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 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 (PI.f32) (.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) (neg.f32 tau))))
(/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x)
(neg.f32 (sin.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 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (neg.f32 tau))
(neg.f32 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 (PI.f32) (.f32 x tau))) (.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 x (.f32 tau (PI.f32)))) (.f32 tau (.f32 (PI.f32) (.f32 x (.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (.f32 (PI.f32) (.f32 x (.f32 x (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 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 tau (.f32 (PI.f32) (.f32 x (.f32 x (PI.f32)))))
(.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 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (.f32 (PI.f32) (.f32 x (.f32 x (PI.f32)))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (*.f32 x (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 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) (neg.f32 tau))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau (.f32 (PI.f32) (.f32 x (.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x)
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (neg.f32 x))
(neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(neg.f32 (sin.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 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (neg.f32 tau)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (neg.f32 tau))
(neg.f32 tau)

localize131.0ms (0.9%)

Memory

-17.0MiB live, 267.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.3754020810788006	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.42158129884221013	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.42482377930532605	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) (neg.f32 tau))))
accuracy	0.3754020810788006	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.4176750488422101	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
accuracy	0.42158129884221013	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.3754020810788006	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.38509750976844204	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.4655075195368841	(.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))))
accuracy	12.286241846171691	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.37540208107880035	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
accuracy	0.3841400390737681	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.42158129884221013	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

Samples

75.0ms

256×

valid

Compiler

Compiled 336 to 32 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 31.0ms (53.5% of total)

ival-sin: 13.0ms (22.4% of total)

ival-div: 10.0ms (17.2% of total)

ival-neg: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series68.0ms (0.5%)

Memory

-16.0MiB live, 59.1MiB allocated

Counts

18 → 408

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

102 calls:

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

simplify314.0ms (2.2%)

Memory

30.2MiB live, 462.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 718×	`lower-fma.f64`
17 718×	`lower-fma.f32`
7 690×	`lower-*.f64`
7 690×	`lower-*.f32`
5 264×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	402	6942
1	1322	6812
2	5062	6658
0	8086	6449

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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

rewrite290.0ms (2%)

Memory

8.0MiB live, 444.2MiB allocated

Rules

4 054×	`lower-*.f64`
4 030×	`lower-*.f32`
3 470×	`lower-/.f64`
3 458×	`lower-/.f32`
1 342×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	254
0	63	252
1	209	252
2	1435	242
3	7057	242
0	8050	242

Stop Event

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

Counts

18 → 1 305

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

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

eval242.0ms (1.7%)

Memory: 16.1MiB live, 477.4MiB allocated
Compiler: Compiled 57 524 to 3 111 computations (94.6% saved)

prune415.0ms (2.9%)

Memory

-22.4MiB live, 920.5MiB allocated

Pruning

57 alts after pruning (56 fresh and 1 done)

	Pruned	Kept	Total
New	2 286	39	2 325
Fresh	15	17	32
Picked	4	1	5
Done	1	0	1
Total	2 306	57	2 363

Accuracy

99.5%

Counts

2 363 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x (PI.f32)))) (*.f32 x tau))
	96.9%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 (PI.f32) (*.f32 tau (PI.f32))))) x)
	68.5%	(/.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)))
	72.0%	(/.f32 (.f32 (/.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 tau (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	68.5%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))) #s(literal 2 binary32))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))) x)
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	97.2%	(/.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)))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32)))) (.f32 (PI.f32) (.f32 x tau)))
	84.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) (.f32 (PI.f32) (*.f32 x tau)))
	69.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	76.6%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (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)))
▶	61.5%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	62.3%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
	97.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.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)))))))
▶	96.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32))))))
	97.0%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))))
	71.9%	(.f32 (/.f32 (/.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 tau (PI.f32))))))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
	72.1%	(.f32 (/.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 tau (PI.f32)))))))) (neg.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
	72.0%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 tau (PI.f32))))))) (neg.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) (neg.f32 tau))))
	96.8%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
	97.3%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (.f32 tau (sqrt.f32 (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (.f32 x (PI.f32))))
▶	97.4%	(.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)))))
	84.5%	(.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)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (.f32 x (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (PI.f32))) tau))) (sin.f32 (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) x))) (sin.f32 (.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (*.f32 tau (PI.f32))))))
	97.1%	(.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)))))
	83.8%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 (PI.f32) (neg.f32 tau))))
	89.7%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/120 binary32)) tau) (/.f32 (.f32 (PI.f32) #s(literal 1/6 binary32)) tau)) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32))))))
	83.8%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (.f32 x (PI.f32))) tau) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32))))))
	69.4%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
	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))))))
	84.5%	(.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 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #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)))
	77.9%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) x (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
	83.0%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
	82.9%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x (.f32 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))) x)) (sin.f32 (*.f32 x (PI.f32))))
▶	77.9%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (.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))))
	96.6%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))) (sin.f32 (*.f32 x (PI.f32))))
	62.4%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
	89.9%	(exp.f32 (.f32 (log.f32 (/.f32 (.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))))))) #s(literal -1 binary32)))
	77.6%	#s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) (* x tau))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	96.6%	#s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) (* x tau))) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau))))
	62.4%	#s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) (* x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	83.0%	#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)))
	96.7%	#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))))))
✓	61.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 902 to 1 631 computations (43.8% saved)

simplify193.0ms (1.3%)

Memory

16.0MiB live, 131.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f32)
cost-diff	0	(*.f32 (PI.f32) tau)
cost-diff	192	(/.f32 (.f32 (PI.f32) tau) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32)))))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32))))))
cost-diff	0	(.f32 (.f32 x (PI.f32)) tau)
cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
cost-diff	0	(fma.f32 x (.f32 x (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32)))
cost-diff	0	(/.f32 (fma.f32 x (.f32 x (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
cost-diff	0	#s(approx (/ (sin (* (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
cost-diff	0	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (.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))))
cost-diff	0	(*.f32 x (PI.f32))
cost-diff	0	(.f32 tau (.f32 x (PI.f32)))
cost-diff	0	#s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32))))
cost-diff	0	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x 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	160	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
cost-diff	192	(.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)))))

Rules

3 734×	`lower-*.f64`
3 698×	`lower-*.f32`
3 640×	`lower-/.f64`
3 622×	`lower-/.f32`
3 282×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	466
0	85	468
1	160	460
2	446	460
3	2057	460
4	3117	460
5	3452	460
6	3524	460
7	3527	460
8	3527	460
9	4093	460
10	4139	460
11	4327	460
12	4524	460
13	4561	460
14	4561	460
15	6381	460
16	6636	460
17	6636	460
18	7032	460
19	7060	460
20	7060	460
21	7764	460
0	8041	460

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

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

localize155.0ms (1.1%)

Memory

10.5MiB live, 283.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.36947250976844204	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (PI.f32))))
accuracy	0.37540208107880035	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.39453125	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32))))))
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.3754020810788005	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.38509750976844204	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.4655075195368841	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.44750875946961355	(fma.f32 x (.f32 x (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy	0.4655075195368841	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (.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))))
accuracy	6.658763753615607	#s(approx (/ (sin (* (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x))
accuracy	0.3326950195368841	(.f32 (PI.f32) (.f32 x tau))
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.4176750488422101	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
accuracy	11.968565789178935	#s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32))))
accuracy	0.3754020810788005	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.3841400390737681	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.4248237793053261	(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))

Samples

95.0ms

256×

valid

Compiler

Compiled 424 to 42 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 29.0ms (45.3% of total)

ival-div: 15.0ms (23.4% of total)

ival-sin: 10.0ms (15.6% of total)

const: 7.0ms (10.9% of total)

ival-pi: 1.0ms (1.6% of total)

ival-add: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.3%)

Memory

-43.5MiB live, 82.5MiB allocated

Counts

23 → 492

Calls

Call 1

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

Calls

123 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(/ (+ (* x (* x (* (PI) (* -1/6 (* tau tau))))) (/ 1 (PI))) x)
1.0ms	x	@	inf	(/ (+ (* x (* x (* (PI) (* -1/6 (* tau tau))))) (/ 1 (PI))) x)
1.0ms	x	@	0	(/ (* (PI) tau) (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))))
1.0ms	tau	@	0	(/ (* (PI) tau) (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))))
1.0ms	tau	@	-inf	(/ (* (PI) tau) (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))))

simplify420.0ms (2.9%)

Memory

38.6MiB live, 346.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 054×	`lower-fma.f64`
13 054×	`lower-fma.f32`
8 916×	`lower-*.f64`
8 916×	`lower-*.f32`
2 658×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	422	8425
1	1445	8195
2	6033	8060
0	8334	7786

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

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

rewrite348.0ms (2.4%)

Memory

5.5MiB live, 357.9MiB allocated

Rules

4 766×	`lower-*.f64`
4 730×	`lower-*.f32`
3 808×	`lower-/.f64`
3 790×	`lower-/.f32`
3 158×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	333
0	85	327
1	271	327
2	1755	313
0	8351	313

Stop Event

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

Counts

23 → 1 515

Calls

Call 1

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

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

eval556.0ms (3.9%)

Memory: 13.2MiB live, 556.8MiB allocated
Compiler: Compiled 91 477 to 7 315 computations (92% saved)

prune1.3s (8.9%)

Memory

-0.2MiB live, 1 067.7MiB allocated

Pruning

78 alts after pruning (72 fresh and 6 done)

	Pruned	Kept	Total
New	3 546	39	3 585
Fresh	18	33	51
Picked	0	5	5
Done	0	1	1
Total	3 564	78	3 642

Accuracy

99.6%

Counts

3 642 → 78

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))) x)
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x (PI.f32)))) (*.f32 x tau))
	61.4%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))) tau)
	61.5%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 (PI.f32) tau))
	68.5%	(/.f32 (-.f32 (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (neg.f32 (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)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	72.0%	(/.f32 (.f32 (/.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 tau (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))) x)
	97.2%	(/.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)))))
	84.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) (.f32 (PI.f32) (*.f32 x tau)))
	69.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	61.5%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) (.f32 x tau)))
	76.6%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (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)))
	76.6%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (fma.f32 tau (.f32 tau tau) tau))) (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x tau)))
▶	61.5%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) tau) x))
✓	61.5%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	95.5%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (log.f32 (PI.f32))) tau) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32))))))
	68.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (-.f32 (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (.f32 (.f32 x (.f32 x (PI.f32))) #s(literal 2 binary32)))))
	95.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (PI.f32))))))
✓	96.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 x (PI.f32))))))
	76.9%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) #s(approx (/ ( (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (fma.f32 tau (.f32 tau tau) tau))) (*.f32 tau (PI.f32))))))
	96.9%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))))
	76.2%	(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) tau) (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI))))) (fma.f32 (.f32 x x) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (fma.f32 tau (.f32 tau (PI.f32)) (PI.f32)))) #s(literal 1 binary32))))
	96.5%	(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) tau) (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI))))) (/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))))))
	74.6%	(-.f32 (/.f32 (.f32 (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) #s(literal 1/2 binary32)) (.f32 (.f32 (PI.f32) tau) (.f32 x (.f32 x (PI.f32))))) (/.f32 (.f32 (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1/2 binary32)) (.f32 (.f32 (PI.f32) tau) (.f32 x (.f32 x (PI.f32))))))
	71.9%	(.f32 (/.f32 (/.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 tau (PI.f32))))))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
	72.1%	(.f32 (/.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 tau (PI.f32)))))))) (neg.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
	72.0%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 tau (PI.f32))))))) (neg.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) (neg.f32 tau))))
	96.8%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
▶	97.3%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
▶	96.5%	(.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32)))) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (.f32 tau (sqrt.f32 (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 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)))
	84.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx ( (/ 1 (* x (PI))) (sin (* x (PI)))) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 x (PI.f32))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))))
✓	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
▶	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (PI.f32))) tau))) (sin.f32 (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (*.f32 tau (PI.f32))))))
	97.1%	(.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)))))
	83.8%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 (PI.f32) (neg.f32 tau))))
	89.7%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/120 binary32)) tau) (/.f32 (.f32 (PI.f32) #s(literal 1/6 binary32)) tau)) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32))))))
	83.8%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (.f32 x (PI.f32))) tau) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32))))))
▶	69.4%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
	61.4%	(.f32 (/.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
	61.6%	(.f32 (/.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
	61.5%	(.f32 (/.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
	61.5%	(.f32 (/.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
	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))))))
	61.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))))
	68.4%	(.f32 (-.f32 (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32))))
	84.5%	(.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 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #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)))
	77.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
	82.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
	96.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
	83.0%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
	82.9%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x (.f32 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))) x)) (sin.f32 (*.f32 x (PI.f32))))
✓	77.9%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (.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))))
	77.8%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* x (* x (* (PI) (* -1/6 (* tau tau))))) (/ 1 (PI))) x) (fma.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (PI.f32))) (/.f32 x (.f32 x (.f32 x (PI.f32))))))) (sin.f32 (.f32 x (PI.f32))))
	77.8%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* x (* x (* (PI) (* -1/6 (* tau tau))))) (/ 1 (PI))) x) (.f32 (fma.f32 (.f32 tau tau) (.f32 (PI.f32) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) (.f32 x (.f32 x (PI.f32))))) (neg.f32 x)))) (sin.f32 (.f32 x (PI.f32))))
	4.8%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* x (* x (* (PI) (* -1/6 (* tau tau))))) (/ 1 (PI))) x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 x (PI.f32))))))) (sin.f32 (*.f32 x (PI.f32))))
	89.9%	(exp.f32 (.f32 (log.f32 (/.f32 (.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))))))) #s(literal -1 binary32)))
	83.0%	#s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) (* x tau))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 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)))
	77.6%	#s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) (* x tau))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
	96.6%	#s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) (* x tau))) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau))))
	96.7%	#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))))))
✓	61.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 3 835 to 2 180 computations (43.2% saved)

simplify227.0ms (1.6%)

Memory

16.2MiB live, 131.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
cost-diff	0	(/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))))
cost-diff	0	(.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
cost-diff	544	(/.f32 tau (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (PI.f32))) tau)))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (PI.f32))) tau))) (sin.f32 (.f32 x (PI.f32))))
cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
cost-diff	0	(neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
cost-diff	0	(/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x)
cost-diff	0	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
cost-diff	0	(*.f32 x (PI.f32))
cost-diff	0	(.f32 tau (.f32 x (PI.f32)))
cost-diff	0	#s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32))))
cost-diff	0	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) tau) x))
cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32)))))
cost-diff	0	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32))))
cost-diff	352	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))

Rules

3 560×	`lower-*.f64`
3 528×	`lower-*.f32`
3 288×	`lower-fma.f64`
3 288×	`lower-fma.f32`
2 060×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	416
0	83	412
1	174	406
2	475	406
3	1766	406
4	2734	406
5	3256	406
6	3821	406
7	4533	406
8	4720	406
9	4947	406
10	5701	406
11	6521	406
12	6990	406
13	7144	406
14	7217	406
15	7258	406
16	7278	406
17	7286	406
18	7286	406
0	8030	406

Stop Event

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

Calls

Call 1

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

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

localize233.0ms (1.6%)

Memory

14.1MiB live, 249.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.37540208107880035	(sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
accuracy	0.38509750976844204	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.4655075195368841	(.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
accuracy	0.36166000976844204	(.f32 (PI.f32) (.f32 x (PI.f32)))
accuracy	0.3754020810788005	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.4655075195368841	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (PI.f32))) tau))) (sin.f32 (.f32 x (PI.f32))))
accuracy	0.359375	(*.f32 tau (PI.f32))
accuracy	0.3754020810788005	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
accuracy	0.42482377930532605	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
accuracy	9.474635448087712	#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32))))
accuracy	0.359375	(*.f32 (PI.f32) tau)
accuracy	0.40234375	(*.f32 x (PI.f32))
accuracy	0.4176750488422101	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) tau) x))
accuracy	11.968565789178935	#s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32))))
accuracy	0.359375	(*.f32 tau (PI.f32))
accuracy	0.37540208107880035	(sin.f32 (.f32 x (.f32 tau (PI.f32))))
accuracy	0.39195253907376804	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
accuracy	0.40234375	(*.f32 x (PI.f32))

Samples

146.0ms

256×

valid

Compiler

Compiled 394 to 43 computations (89.1% saved)

Precisions

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

ival-mult: 54.0ms (50.8% of total)

ival-div: 30.0ms (28.2% of total)

ival-sin: 19.0ms (17.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series66.0ms (0.5%)

Memory

-18.2MiB live, 58.8MiB allocated

Counts

25 → 540

Calls

Call 1

Inputs
#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (patch (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) #<representation binary32>) () ())
#s(alt (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (patch (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 x (PI.f32))) (patch (sin.f32 (.f32 x (PI.f32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) tau) x)) (patch (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) tau) x)) #<representation binary32>) () ())
#s(alt #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32)))) (patch #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32)))) #<representation binary32>) () ())
#s(alt (.f32 tau (.f32 x (PI.f32))) (patch (.f32 tau (.f32 x (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32))))) (patch (.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (patch (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #<representation binary32>) () ())
#s(alt (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (patch (neg.f32 (sin.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 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (PI.f32))) tau))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (PI.f32))) tau))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (PI.f32))) tau))) (patch (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (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 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.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 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())
#s(alt (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (patch (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (patch (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #<representation binary32>) () ())
#s(alt (.f32 tau (PI.f32)) (patch (.f32 tau (PI.f32)) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) tau) (patch (.f32 (PI.f32) tau) #<representation binary32>) () ())
#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 (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 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) (taylor 0 x) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) (taylor 0 x) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) (taylor 0 x) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.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 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.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 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.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 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.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 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.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 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.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 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.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 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.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 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor 0 x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (patch (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))))) (taylor 0 x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (patch (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5))))))))))) (taylor 0 x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (patch (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7))))))))))))))) (taylor 0 x) (#s(alt (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (patch (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
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#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf tau) (#s(alt (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 tau) (#s(alt (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 tau) (#s(alt (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 tau) (#s(alt (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (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 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* x (PI))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI)))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf tau) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf tau) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf tau) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf tau) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* x (PI))) (taylor 0 x) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x) (taylor 0 x) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x) (taylor 0 x) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* (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))) x) (taylor 0 x) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf x) (#s(alt (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (patch (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor inf x) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor inf x) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor inf x) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor 0 tau) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor 0 tau) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor 0 tau) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor 0 tau) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor inf tau) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor inf tau) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor inf tau) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor inf tau) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor -inf tau) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor -inf tau) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor -inf tau) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))) (taylor -inf tau) (#s(alt #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) (patch #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor 0 x) (#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor 0 x) (#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor 0 x) (#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor 0 x) (#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor inf x) (#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor inf x) (#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor inf x) (#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor inf x) (#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (pow (PI) 2)) (taylor -inf x) (#s(alt (.f32 (PI.f32) (.f32 x (PI.f32))) (patch (.f32 (PI.f32) (.f32 x (PI.f32))) #<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
1.0ms	x	@	-inf	(/ (* (sin (* x (PI))) (sin (* x (* tau (PI))))) (* x (* tau (PI))))
1.0ms	x	@	0	(/ (* (sin (* x (PI))) (sin (* x (* tau (PI))))) (* x (* tau (PI))))
1.0ms	tau	@	-inf	(/ (* (sin (* x (PI))) (sin (* x (* tau (PI))))) (* x (* tau (PI))))
0.0ms	x	@	inf	(/ (* (sin (* x (PI))) (sin (* x (* tau (PI))))) (* x (* tau (PI))))
0.0ms	x	@	0	(* (sin (* x (PI))) (sin (* x (* tau (PI)))))

simplify360.0ms (2.5%)

Memory

40.7MiB live, 701.5MiB allocated

Algorithm

1×	egg-herbie

Rules

19 330×	`lower-fma.f64`
19 330×	`lower-fma.f32`
8 426×	`lower-*.f64`
8 426×	`lower-*.f32`
5 254×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	8400
1	1628	8222
2	6238	8000
0	8702	7754

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

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

rewrite289.0ms (2%)

Memory

-21.3MiB live, 541.7MiB allocated

Rules

4 880×	`lower-*.f64`
4 848×	`lower-/.f64`
4 848×	`lower-*.f32`
4 834×	`lower-/.f32`
2 676×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	303
0	83	293
1	269	293
2	1626	283
0	8914	283

Stop Event

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

Counts

25 → 1 474

Calls

Call 1

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

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

eval485.0ms (3.4%)

Memory: 13.9MiB live, 710.5MiB allocated
Compiler: Compiled 64 345 to 4 575 computations (92.9% saved)

prune672.0ms (4.7%)

Memory

-58.0MiB live, 1 654.8MiB allocated

Pruning

99 alts after pruning (91 fresh and 8 done)

	Pruned	Kept	Total
New	2 624	44	2 668
Fresh	20	47	67
Picked	2	3	5
Done	1	5	6
Total	2 647	99	2 746

Accuracy

99.7%

Counts

2 746 → 99

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.6%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 x (.f32 (PI.f32) tau))) (.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))
	97.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))) x)
	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x (PI.f32)))) (*.f32 x tau))
	61.4%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))) tau)
	61.5%	(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 (PI.f32) tau))
	68.5%	(/.f32 (-.f32 (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (neg.f32 (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)))
	68.6%	(/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
	68.6%	(/.f32 (.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))
	72.0%	(/.f32 (.f32 (/.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 tau (PI.f32))))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 x tau)))
	61.4%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (.f32 (PI.f32) tau)))) tau)
	97.2%	(/.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)))))
	84.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) (.f32 (PI.f32) (*.f32 x tau)))
	69.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 x tau)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau))))) x)
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))))
	69.3%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) tau)))) (neg.f32 x))
	69.2%	(/.f32 (neg.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) tau)))) (/.f32 x (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	61.5%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) (.f32 x tau)))
	61.5%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 (PI.f32) tau) x))
	76.6%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (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)))
	77.0%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (.f32 tau tau) tau)) (.f32 tau (PI.f32))))) (.f32 (.f32 (PI.f32) tau) x))
✓	61.5%	(/.f32 #s(approx (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	76.9%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) #s(approx (/ ( (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (fma.f32 tau (.f32 tau tau) tau))) (*.f32 tau (PI.f32))))))
	76.2%	(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) tau) (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI))))) (fma.f32 (.f32 x x) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (fma.f32 tau (.f32 tau (PI.f32)) (PI.f32)))) #s(literal 1 binary32))))
	96.5%	(/.f32 #s(literal 1 binary32) #s(approx (/ (* (PI) tau) (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI))))) (/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))))))
	75.4%	(-.f32 (/.f32 (.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) #s(literal 1/2 binary32)) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau))))) (/.f32 (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 1/2 binary32)) (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau))))))
	68.6%	(.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) #s(literal 1/2 binary32)) (fma.f32 (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 1/2 binary32)) (.f32 (.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 1/2 binary32)))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
	68.2%	(.f32 (/.f32 (/.f32 (-.f32 (.f32 (.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) #s(literal 1/2 binary32))) (.f32 (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 1/2 binary32)))) (fma.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 1/2 binary32)))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
	69.9%	(.f32 (/.f32 (/.f32 (.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (fma.f32 x tau x))))))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
	71.9%	(.f32 (/.f32 (/.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) #s(literal 3 binary32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 tau (PI.f32))))))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
	68.6%	(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
	72.0%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 3 binary32))) (neg.f32 (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32))))) #s(literal 0 binary32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
	96.8%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 (PI.f32) (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
✓	97.3%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
	83.9%	(.f32 (/.f32 (.f32 #s(approx (sin (* x (PI))) (.f32 x (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (sin.f32 (.f32 x (.f32 tau (PI.f32))))) (.f32 x (.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
	96.8%	(.f32 (/.f32 (sin.f32 (/.f32 (.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) x))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 x (PI.f32))))
	96.4%	(.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
	96.3%	(.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))))
	83.5%	(.f32 (/.f32 (sin.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #s(approx (sin (* x (PI))) (.f32 x (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32)))))
	95.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 x (cbrt.f32 (PI.f32))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (.f32 tau (sqrt.f32 (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 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)))
	84.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx ( (/ 1 (* x (PI))) (sin (* x (PI)))) (fma.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 x (PI.f32))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))))
✓	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) (sin.f32 (.f32 x (PI.f32))))
	96.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
✓	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (PI.f32))) tau))) (sin.f32 (.f32 x (PI.f32))))
	83.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (PI.f32))) tau))) #s(approx (sin ( x (PI))) (.f32 x (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32)))))
	69.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (.f32 (PI.f32) (.f32 x (PI.f32))) tau))) #s(approx (sin ( x (PI))) (*.f32 x (PI.f32))))
	97.1%	(.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)))))
	69.4%	(.f32 (/.f32 (neg.f32 (sin.f32 (/.f32 (.f32 (neg.f32 (.f32 tau tau)) (.f32 (PI.f32) (neg.f32 x))) tau))) x) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
	69.4%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
	83.8%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (/.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (.f32 (PI.f32) (neg.f32 tau))))
	89.7%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/120 binary32)) tau) (/.f32 (.f32 (PI.f32) #s(literal 1/6 binary32)) tau)) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32))))))
	83.8%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (.f32 x (PI.f32))) tau) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32))))))
	69.3%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 (.f32 (PI.f32) tau)) (neg.f32 (.f32 (PI.f32) tau)))) (neg.f32 (.f32 (PI.f32) tau))))))
✓	69.4%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
	67.8%	(.f32 (/.f32 (neg.f32 #s(approx (sin ( (PI) (* x 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)))))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
	67.7%	(.f32 (/.f32 (neg.f32 #s(approx (sin ( (PI) (* x 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)))))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
	61.4%	(.f32 (/.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
	61.6%	(.f32 (/.f32 #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
	67.8%	(.f32 (/.f32 #s(approx (neg (sin ( (PI) (* x tau)))) (.f32 x (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (PI.f32)))))) x) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
	67.8%	(.f32 (/.f32 #s(approx (neg (sin ( (PI) (* x tau)))) (.f32 tau (fma.f32 x (neg.f32 (PI.f32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x x)))) (.f32 (.f32 tau tau) #s(literal 1/6 binary32)))))) x) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
	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))))))
	61.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) #s(approx ( (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (PI.f32) (.f32 x tau))))
	69.3%	(.f32 (/.f32 #s(literal -1 binary32) (/.f32 x (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
	68.4%	(.f32 (-.f32 (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 2 binary32))))
	68.5%	(.f32 (.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 (PI.f32) tau)))) (cos.f32 (.f32 (PI.f32) (fma.f32 x tau x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
	69.3%	(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) tau)))) (/.f32 #s(literal -1 binary32) x))
	77.9%	(.f32 #s(approx (/ ( (sin (* x (PI))) (sin (* x (* tau (PI))))) (* x (* tau (PI)))) (.f32 (fma.f32 (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (sin.f32 (.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
	76.8%	(.f32 #s(approx (/ ( (sin (* x (PI))) (sin (* x (* tau (PI))))) (* x (* tau (PI)))) (.f32 x (fma.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
	61.6%	(.f32 #s(approx (/ ( (sin (* x (PI))) (sin (* x (* tau (PI))))) (* x (* tau (PI)))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
	77.9%	(.f32 #s(approx (/ (sin (/ tau (/ 1 ( x (PI))))) (* x (* (PI) (* (PI) (* x tau))))) (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))))
	82.9%	(.f32 #s(approx (/ (sin (/ tau (/ 1 ( x (PI))))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.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))) x)) (sin.f32 (*.f32 x (PI.f32))))
	84.5%	(.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 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) #s(literal -1/6 binary32)) #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)))
	77.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
	82.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)) (sin.f32 (*.f32 x (PI.f32))))
	96.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
	83.0%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (fma.f32 (.f32 tau tau) (fma.f32 x (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))) (sin.f32 (.f32 x (PI.f32))))
✓	77.9%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) (/.f32 (fma.f32 x (.f32 x (.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))))
	77.8%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* x (* x (* (PI) (* -1/6 (* tau tau))))) (/ 1 (PI))) x) (fma.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (PI.f32))) (/.f32 x (.f32 x (.f32 x (PI.f32))))))) (sin.f32 (.f32 x (PI.f32))))
	77.8%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* x (* x (* (PI) (* -1/6 (* tau tau))))) (/ 1 (PI))) x) (.f32 (fma.f32 (.f32 tau tau) (.f32 (PI.f32) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) (.f32 x (.f32 x (PI.f32))))) (neg.f32 x)))) (sin.f32 (.f32 x (PI.f32))))
	4.8%	(.f32 #s(approx (/ (sin ( (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau))))) #s(approx (/ (+ (* x (* x (* (PI) (* -1/6 (* tau tau))))) (/ 1 (PI))) x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 x (PI.f32))))))) (sin.f32 (*.f32 x (PI.f32))))
	67.8%	(.f32 #s(approx (/ (neg (sin ( (PI) (* x tau)))) x) (.f32 tau (fma.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (PI.f32))))) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
	61.6%	(.f32 #s(approx (/ (neg (sin ( (PI) (* x tau)))) x) (neg.f32 (.f32 tau (PI.f32)))) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (PI) (neg tau))) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))))
	89.9%	(exp.f32 (.f32 (log.f32 (/.f32 (.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))))))) #s(literal -1 binary32)))
	83.0%	#s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (* (* (PI) 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)))
	77.6%	#s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (* (* (PI) 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)))
	96.9%	#s(approx (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (* (* (PI) tau) x)) (/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32))))))
	96.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (.f32 (.f32 x x) tau) (PI.f32))))))
✓	61.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 6 638 to 2 095 computations (68.4% saved)

regimes194.0ms (1.3%)

Memory

37.5MiB live, 306.4MiB allocated

Counts

160 → 1

Calls

Call 1

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

61.0ms	x
44.0ms	(.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))))
43.0ms	(*.f32 x (PI.f32))
40.0ms	tau

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes105.0ms (0.7%)

Memory

-2.3MiB live, 153.1MiB allocated

Counts

88 → 1

Calls

Call 1

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

Calls

4 calls:

25.0ms	x
25.0ms	tau
24.0ms	(*.f32 x (PI.f32))
22.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`tau`
97.2%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.2%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes102.0ms (0.7%)

Memory

16.6MiB live, 130.5MiB allocated

Counts

85 → 1

Calls

Call 1

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

Outputs
(.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)))))

Calls

4 calls:

27.0ms	(*.f32 x (PI.f32))
25.0ms	tau
25.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
21.0ms	x

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)

regimes186.0ms (1.3%)

Memory

-37.5MiB live, 164.8MiB allocated

Counts

77 → 1

Calls

Call 1

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

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:

88.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
21.0ms	tau
21.0ms	(*.f32 x (PI.f32))
19.0ms	x

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`(*.f32 x (PI.f32))`
97.0%	1	`tau`
97.0%	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)

regimes86.0ms (0.6%)

Memory

34.2MiB live, 150.3MiB allocated

Counts

76 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

22.0ms	(*.f32 x (PI.f32))
21.0ms	tau
21.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
19.0ms	x

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes91.0ms (0.6%)

Memory

2.1MiB live, 154.6MiB allocated

Counts

73 → 1

Calls

Call 1

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

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:

24.0ms	(.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))))
22.0ms	tau
21.0ms	(*.f32 x (PI.f32))
20.0ms	x

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`tau`
96.7%	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))))`
96.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes103.0ms (0.7%)

Memory

14.3MiB live, 131.3MiB allocated

Counts

71 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

38.0ms	tau
23.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
21.0ms	(*.f32 x (PI.f32))
18.0ms	x

Results

Accuracy	Segments	Branch
89.7%	1	`x`
89.7%	1	`tau`
89.7%	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))))`
89.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes92.0ms (0.6%)

Memory

-11.4MiB live, 116.6MiB allocated

Counts

70 → 1

Calls

Call 1

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

Calls

4 calls:

26.0ms	x
19.0ms	(*.f32 x (PI.f32))
18.0ms	tau
18.0ms	(.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
84.5%	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))))`
84.5%	1	`x`
84.5%	1	`(*.f32 x (PI.f32))`
84.5%	1	`tau`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes70.0ms (0.5%)

Memory

-6.2MiB live, 103.2MiB allocated

Counts

49 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

23.0ms	(*.f32 x (PI.f32))
17.0ms	tau
15.0ms	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
77.9%	1	`tau`
77.9%	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))))`
77.9%	1	`x`
77.9%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes52.0ms (0.4%)

Memory

8.7MiB live, 87.3MiB allocated

Counts

40 → 1

Calls

Call 1

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

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:

13.0ms	x
11.0ms	(*.f32 x (PI.f32))
11.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
11.0ms	tau

Results

Accuracy	Segments	Branch
77.6%	1	`x`
77.6%	1	`(*.f32 x (PI.f32))`
77.6%	1	`tau`
77.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes13.0ms (0.1%)

Memory

-12.3MiB live, 25.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	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))))
3.0ms	x
3.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
61.6%	1	`x`
61.6%	1	`tau`
61.6%	1	`(*.f32 x (PI.f32))`
61.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes5.0ms (0%)

Memory

17.0MiB live, 17.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
61.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
61.6%	1	`x`
61.6%	1	`(*.f32 x (PI.f32))`
61.6%	1	`tau`

Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify12.0ms (0.1%)

Memory

-22.3MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Rules

74×	`*-commutative_binary32`
12×	`neg-sub0_binary32`
12×	`neg-mul-1_binary32`
10×	`sub-neg_binary32`
10×	`+-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	402
1	137	402
2	147	402
3	159	402
4	166	402
5	170	402
6	171	402

Stop Event

1×

saturated

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

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

soundness2.1s (14.7%)

Memory

27.5MiB live, 1 136.8MiB allocated

Rules

19 330×	`lower-fma.f64`
19 330×	`lower-fma.f32`
17 718×	`lower-fma.f64`
17 718×	`lower-fma.f32`
16 966×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	480	8400
1	1628	8222
2	6238	8000
0	8702	7754
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	402	6942
1	1322	6812
2	5062	6658
0	8086	6449
0	49	333
0	85	327
1	271	327
2	1755	313
0	8351	313
0	37	254
0	63	252
1	209	252
2	1435	242
3	7057	242
0	8050	242
0	10	55
0	18	55
1	63	55
2	483	53
3	6485	53
0	8114	53

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

Compiler

Compiled 595 to 241 computations (59.5% saved)

preprocess69.0ms (0.5%)

Memory

25.0MiB live, 136.8MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 1 298 to 500 computations (61.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze21.0ms (0.1%)

sample2.6s (18.2%)

explain160.0ms (1.1%)

preprocess106.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify25.0ms (0.2%)

localize53.0ms (0.4%)

series33.0ms (0.2%)

simplify342.0ms (2.4%)

rewrite452.0ms (3.1%)

eval100.0ms (0.7%)

prune271.0ms (1.9%)

simplify128.0ms (0.9%)

localize131.0ms (0.9%)

series68.0ms (0.5%)

simplify314.0ms (2.2%)

rewrite290.0ms (2%)

eval242.0ms (1.7%)

prune415.0ms (2.9%)

simplify193.0ms (1.3%)

localize155.0ms (1.1%)

series49.0ms (0.3%)

simplify420.0ms (2.9%)

rewrite348.0ms (2.4%)

eval556.0ms (3.9%)

prune1.3s (8.9%)

simplify227.0ms (1.6%)

localize233.0ms (1.6%)

series66.0ms (0.5%)

simplify360.0ms (2.5%)

rewrite289.0ms (2%)

eval485.0ms (3.4%)

prune672.0ms (4.7%)

regimes194.0ms (1.3%)

regimes105.0ms (0.7%)

regimes102.0ms (0.7%)

regimes186.0ms (1.3%)

regimes86.0ms (0.6%)

regimes91.0ms (0.6%)

regimes103.0ms (0.7%)

regimes92.0ms (0.6%)

regimes70.0ms (0.5%)

regimes52.0ms (0.4%)

regimes13.0ms (0.1%)

regimes5.0ms (0%)

simplify12.0ms (0.1%)

soundness2.1s (14.7%)

preprocess69.0ms (0.5%)

end0.0ms (0%)

Profiling