Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze27.0ms (0.3%)

Memory

5.6MiB live, 53.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.5s (14.4%)

Memory

43.1MiB live, 2 354.6MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 923.0ms

ival-mult: 176.0ms (19.1% of total)

ival-sin: 159.0ms (17.2% of total)

ival-sinu: 155.0ms (16.8% of total)

const: 122.0ms (13.2% of total)

ival-div: 113.0ms (12.2% of total)

ival-<=: 94.0ms (10.2% of total)

ival-pi: 67.0ms (7.3% of total)

ival-and: 23.0ms (2.5% of total)

exact: 12.0ms (1.3% of total)

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

Bogosity

explain212.0ms (2%)

Memory

-9.3MiB live, 200.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
2	-	2	(0.9311878085136414 4.323729515075684)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	4
-	0	252

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	4
-	0	0	252

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

79.0ms

512×

valid

Compiler

Compiled 211 to 44 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-sinu: 30.0ms (49.5% of total)

ival-mult: 12.0ms (19.8% of total)

ival-sin: 9.0ms (14.8% of total)

ival-div: 7.0ms (11.5% of total)

ival-pi: 2.0ms (3.3% of total)

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

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

preprocess73.0ms (0.7%)

Memory

0.2MiB live, 36.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify20.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (0.6%)

Memory

9.3MiB live, 47.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.33203125	(*.f32 x (PI.f32))
accuracy	0.3333587890737681	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.3397509136322586	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.36851503907376804	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

55.0ms

256×

valid

Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions

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

ival-mult: 5.0ms (27.2% of total)

ival-sin: 5.0ms (27.2% of total)

ival-sinu: 4.0ms (21.8% of total)

ival-div: 3.0ms (16.3% of total)

ival-pi: 1.0ms (5.4% of total)

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

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

series84.0ms (0.8%)

Memory

-35.8MiB live, 44.9MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	tau	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
8.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
5.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
4.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
4.0ms	x	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))

simplify342.0ms (3.2%)

Memory

36.2MiB live, 222.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite184.0ms (1.7%)

Memory

-2.8MiB live, 118.6MiB allocated

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
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eval230.0ms (2.2%)

Memory: -15.2MiB live, 146.0MiB allocated
Compiler: Compiled 24 307 to 2 341 computations (90.4% saved)

prune242.0ms (2.3%)

Memory

-3.4MiB live, 160.8MiB 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

99.8%

Counts

1 014 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (/.f32 (.f32 tau (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) x))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 x (.f32 (PI.f32) x)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
▶	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x)))) (PI.f32))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
▶	97.4%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x))))
	97.5%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (.f32 (neg.f32 (PI.f32)) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
	96.1%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau))
▶	97.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (.f32 (cbrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (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 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (PI.f32)) x)))) (*.f32 x (PI.f32))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	71.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.2%	(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))))
	97.4%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)) tau))
	97.8%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	97.4%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
▶	98.0%	(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x))))
	91.9%	(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #s(literal -1 binary32)))
	64.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	65.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	97.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
▶	64.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 637 to 948 computations (42.1% saved)

simplify89.0ms (0.8%)

Memory

22.6MiB live, 22.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(.f32 tau (.f32 (PI.f32) x))
cost-diff	0	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
cost-diff	192	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x))))
cost-diff	0	(.f32 tau (.f32 (PI.f32) x))
cost-diff	0	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
cost-diff	192	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau)
cost-diff	0	(.f32 tau (.f32 (PI.f32) x))
cost-diff	0	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
cost-diff	320	(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	328
0	61	336
1	130	334
2	390	316
3	1819	316
4	4710	316
5	7202	316
0	8375	316

Stop Event

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

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 x (PI.f32)))
tau
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 x (PI.f32)))
tau
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) tau)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 x (PI.f32)))
tau
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 x (PI.f32)))
tau
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)
(.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) tau)
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))

localize192.0ms (1.8%)

Memory

10.9MiB live, 86.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.3397509136322586	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.36166000976844204	(/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x)))
accuracy	0.4365425293053261	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x))))
accuracy	0.5231437988422101	(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
accuracy	0.33203125	(*.f32 x (PI.f32))
accuracy	0.3333587890737681	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.3397509136322586	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.37109375	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.33203125	(*.f32 (PI.f32) x)
accuracy	0.3397509136322586	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.37109375	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.44472509768442026	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	11.343091585467493	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.33203125	(*.f32 (PI.f32) x)
accuracy	0.3333587890737681	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x))
accuracy	0.3397509136322586	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.44472509768442026	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x)))

Samples

160.0ms

256×

valid

Compiler

Compiled 635 to 60 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 113.0ms (77.8% of total)

ival-div: 13.0ms (8.9% of total)

ival-sin: 8.0ms (5.5% of total)

ival-sinu: 6.0ms (4.1% of total)

ival-pow2: 2.0ms (1.4% of total)

ival-neg: 2.0ms (1.4% of total)

ival-pi: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series63.0ms (0.6%)

Memory

-3.0MiB live, 34.9MiB allocated

Counts

18 → 360

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((neg (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) tau) (/ (sin (* tau (* (PI) x))) (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x)))) (* (PI) x) (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (pow (* (PI) x) 2) (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x))))
5.0ms	x	@	inf	((neg (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) tau) (/ (sin (* tau (* (PI) x))) (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x)))) (* (PI) x) (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (pow (* (PI) x) 2) (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x))))
4.0ms	x	@	0	((neg (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) tau) (/ (sin (* tau (* (PI) x))) (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x)))) (* (PI) x) (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (pow (* (PI) x) 2) (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x))))
4.0ms	tau	@	-inf	((neg (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) tau) (/ (sin (* tau (* (PI) x))) (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x)))) (* (PI) x) (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (pow (* (PI) x) 2) (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x))))
4.0ms	tau	@	0	((neg (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x)))) (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) tau) (/ (sin (* tau (* (PI) x))) (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x)))) (* (PI) x) (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (pow (* (PI) x) 2) (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x))))

simplify289.0ms (2.7%)

Memory

-4.1MiB live, 149.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	435	6390
1	1550	6174
2	6538	6171
0	8194	5978

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 358

Calls

Call 1

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

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

rewrite301.0ms (2.8%)

Memory

-7.5MiB live, 280.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	216
0	58	222
1	222	206
2	1427	206
3	7411	206
0	8615	206

Stop Event

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

Counts

18 → 1 801

Calls

Call 1

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

Outputs
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eval328.0ms (3.1%)

Memory: 7.0MiB live, 636.4MiB allocated
Compiler: Compiled 79 923 to 5 265 computations (93.4% saved)

prune159.0ms (1.5%)

Memory

16.9MiB live, 452.6MiB allocated

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	3 237	31	3 268
Fresh	20	12	32
Picked	3	2	5
Done	0	1	1
Total	3 260	46	3 306

Accuracy

99.8%

Counts

3 306 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) tau))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) x))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 x (.f32 (PI.f32) x)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x)) (.f32 (PI.f32) (.f32 tau (PI.f32))))
▶	98.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 (PI.f32) x)))
	95.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32))))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
▶	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (/.f32 (neg.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (.f32 (neg.f32 (PI.f32)) x)))) (.f32 tau (.f32 (PI.f32) x)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))) (.f32 tau (*.f32 (PI.f32) x)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
	96.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))))
	71.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 tau)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (*.f32 x (PI.f32))) x))
	96.7%	(/.f32 (sin.f32 (.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))) (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x))))
	96.3%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) #s(literal 2 binary32)) tau) (sin.f32 (.f32 (PI.f32) x))))
	95.8%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x))))
	97.5%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (/.f32 (neg.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) (.f32 (neg.f32 (PI.f32)) x)))))
	71.6%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))))
	97.4%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))))
	71.5%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)))
	97.7%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) tau) (*.f32 x (PI.f32))))
▶	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (PI.f32) x)))
	97.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
✓	97.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	71.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (.f32 x x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	71.7%	(.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)))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	97.4%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
	97.0%	(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32))))) (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x))))
	64.6%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (.f32 x x) #s(literal -1 binary32))))
▶	96.9%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	91.9%	(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #s(literal -1 binary32)))
	64.6%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau #s(literal -1/6 binary32)) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	65.3%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	97.3%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 x x))))
	64.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
✓	64.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 906 to 1 134 computations (40.5% saved)

simplify147.0ms (1.4%)

Memory

-13.4MiB live, 154.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32))))))
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))) (*.f32 (PI.f32) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
cost-diff	960	(.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32))))
cost-diff	0	(.f32 tau (.f32 x (PI.f32)))
cost-diff	0	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
cost-diff	0	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
cost-diff	0	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
cost-diff	0	(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x)))
cost-diff	0	#s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32)))))
cost-diff	0	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
cost-diff	0	(*.f32 tau (PI.f32))
cost-diff	0	(.f32 (.f32 tau (PI.f32)) x)
cost-diff	0	#s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))
cost-diff	0	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(*.f32 x (PI.f32))
cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	506
0	89	470
1	202	470
2	598	470
3	2486	470
4	4401	461
5	5711	461
6	6816	461
7	7301	461
0	8061	461

Stop Event

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

Calls

Call 1

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

Outputs
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 4 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 tau (.f32 x (PI.f32)))
(.f32 (.f32 (PI.f32) x) tau)
tau
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))
#s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau))
(.f32 (.f32 tau (PI.f32)) x)
(.f32 (.f32 (PI.f32) x) tau)
(*.f32 tau (PI.f32))
tau
(PI.f32)
x
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (neg.f32 tau)) (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 4 binary32))) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32)))))
#s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (neg.f32 tau)) (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 4 binary32))) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (neg.f32 tau)) (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 4 binary32))) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(sin.f32 (.f32 (.f32 tau (PI.f32)) x))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 (.f32 tau (PI.f32)) x)
(.f32 (.f32 (PI.f32) x) tau)
(*.f32 tau (PI.f32))
tau
(PI.f32)
x
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32)))
(.f32 (neg.f32 tau) (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 4 binary32)))
(.f32 (.f32 (*.f32 x x) tau) (PI.f32))
(.f32 (.f32 x x) tau)
(*.f32 x x)
(neg.f32 (PI.f32))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 4 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 tau (.f32 x (PI.f32)))
(.f32 (.f32 (PI.f32) x) tau)
tau
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32))
(.f32 (.f32 (*.f32 (PI.f32) x) tau) (PI.f32))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (pow.f32 (sqrt.f32 (.f32 (PI.f32) x)) #s(literal 4 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(sin.f32 (.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32))))))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))
(.f32 (.f32 (PI.f32) x) tau)
tau
(.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32))))
(*.f32 (PI.f32) x)
(sqrt.f32 (*.f32 x (PI.f32)))
(sqrt.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(*.f32 (PI.f32) x)
(sin.f32 (*.f32 (PI.f32) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) x) tau)

localize179.0ms (1.7%)

Memory

-11.9MiB live, 304.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3397509136322586	(sin.f32 (.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32))))))
accuracy	0.37109375	(/.f32 (sin.f32 (.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))) (*.f32 (PI.f32) x))
accuracy	0.44472509768442026	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	0.48046875	(.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (*.f32 x (PI.f32))))
accuracy	0.3397509136322586	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.356132519536884	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
accuracy	0.36166000976844204	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
accuracy	0.3717575195368841	(.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32))
accuracy	0.36166000976844204	(.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x)))
accuracy	0.3639450195368841	(.f32 (.f32 (*.f32 x x) tau) (PI.f32))
accuracy	0.40625	(.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32)))
accuracy	0.4440613281475362	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))
accuracy	0.29296875	(.f32 (.f32 tau (PI.f32)) x)
accuracy	0.33203125	(*.f32 (PI.f32) x)
accuracy	0.44472509768442026	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (PI.f32) x)))
accuracy	11.039909703124776	#s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))
accuracy	0.33203125	(*.f32 x (PI.f32))
accuracy	0.3333587890737681	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.3397509136322586	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.44472509768442026	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 (PI.f32) x)))

Samples

142.0ms

256×

valid

Compiler

Compiled 882 to 82 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-sin: 44.0ms (41.1% of total)

ival-mult: 29.0ms (27.1% of total)

ival-div: 19.0ms (17.7% of total)

ival-neg: 7.0ms (6.5% of total)

ival-sinu: 6.0ms (5.6% of total)

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

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

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

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

series67.0ms (0.6%)

Memory

18.3MiB live, 177.1MiB allocated

Counts

28 → 600

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
14.0ms	tau	@	inf	((* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* (* tau (PI)) x) (* tau (PI)) (neg (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (sin (* (* tau (PI)) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* (sqrt (* x (PI))) (sqrt (* x (PI)))) (* (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* (PI) x))) (* (PI) x) (/ (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (* (* (* (* x x) tau) (PI)) (neg (PI)))) (* (* (* (* x x) tau) (PI)) (neg (PI))) (* (* (* x x) tau) (PI)) (* (* tau (* x (PI))) (PI)) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* tau (* x (PI))) (PI))) (/ (* (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))))
8.0ms	x	@	-inf	((* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* (* tau (PI)) x) (* tau (PI)) (neg (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (sin (* (* tau (PI)) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* (sqrt (* x (PI))) (sqrt (* x (PI)))) (* (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* (PI) x))) (* (PI) x) (/ (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (* (* (* (* x x) tau) (PI)) (neg (PI)))) (* (* (* (* x x) tau) (PI)) (neg (PI))) (* (* (* x x) tau) (PI)) (* (* tau (* x (PI))) (PI)) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* tau (* x (PI))) (PI))) (/ (* (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))))
5.0ms	tau	@	0	((* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* (* tau (PI)) x) (* tau (PI)) (neg (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (sin (* (* tau (PI)) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* (sqrt (* x (PI))) (sqrt (* x (PI)))) (* (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* (PI) x))) (* (PI) x) (/ (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (* (* (* (* x x) tau) (PI)) (neg (PI)))) (* (* (* (* x x) tau) (PI)) (neg (PI))) (* (* (* x x) tau) (PI)) (* (* tau (* x (PI))) (PI)) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* tau (* x (PI))) (PI))) (/ (* (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))))
4.0ms	tau	@	-inf	((* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* (* tau (PI)) x) (* tau (PI)) (neg (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (sin (* (* tau (PI)) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* (sqrt (* x (PI))) (sqrt (* x (PI)))) (* (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* (PI) x))) (* (PI) x) (/ (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (* (* (* (* x x) tau) (PI)) (neg (PI)))) (* (* (* (* x x) tau) (PI)) (neg (PI))) (* (* (* x x) tau) (PI)) (* (* tau (* x (PI))) (PI)) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* tau (* x (PI))) (PI))) (/ (* (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))))
4.0ms	x	@	0	((* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* (* tau (PI)) x) (* tau (PI)) (neg (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x)))) (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (sin (* (* tau (PI)) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* tau (* x (PI))) (* (sqrt (* x (PI))) (sqrt (* x (PI)))) (* (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* (PI) x))) (* (PI) x) (/ (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (* (* (* (* x x) tau) (PI)) (neg (PI)))) (* (* (* (* x x) tau) (PI)) (neg (PI))) (* (* (* x x) tau) (PI)) (* (* tau (* x (PI))) (PI)) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* tau (* x (PI))) (PI))) (/ (* (/ (sin (* tau (* (sqrt (* x (PI))) (sqrt (* x (PI)))))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))))

simplify222.0ms (2.1%)

Memory

12.1MiB live, 446.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	453	10174
1	1574	9842
2	6308	9636
0	8243	9340

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 598

Calls

Call 1

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

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

rewrite197.0ms (1.9%)

Memory

-24.6MiB live, 461.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	405
0	89	375
1	323	365
2	1892	357
0	8318	357

Stop Event

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

Counts

28 → 1 897

Calls

Call 1

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

Outputs
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eval390.0ms (3.7%)

Memory: 0.6MiB live, 1 107.0MiB allocated
Compiler: Compiled 93 517 to 7 549 computations (91.9% saved)

prune232.0ms (2.2%)

Memory

7.5MiB live, 728.0MiB allocated

Pruning

87 alts after pruning (83 fresh and 4 done)

	Pruned	Kept	Total
New	3 606	65	3 671
Fresh	20	18	38
Picked	3	2	5
Done	1	2	3
Total	3 630	87	3 717

Accuracy

99.8%

Counts

3 717 → 87

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.2%	(/.f32 (/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau) (sqrt.f32 (.f32 (PI.f32) x))) (sqrt.f32 (.f32 (PI.f32) x)))
	64.4%	(/.f32 (/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) x)
	97.4%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x)
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)))) x) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32)))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3/2 binary32)))))) x) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) x) x)) (sqrt.f32 (PI.f32))))) x) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
	96.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau) (sqrt.f32 (*.f32 (PI.f32) x))) (PI.f32)))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 (*.f32 (PI.f32) x) (PI.f32)) tau))
▶	97.0%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) x))
	71.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) x) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32)))
	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) tau))
	64.2%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau)) (sqrt.f32 (*.f32 (PI.f32) x)))
	64.4%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau)
	64.3%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau (PI.f32))) x)
	64.5%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
	64.4%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) x) (*.f32 tau (PI.f32)))
	64.5%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x))
	64.2%	(/.f32 (/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) x) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
	97.8%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 (PI.f32) x)))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (*.f32 x x) tau) (PI.f32)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 x (.f32 (PI.f32) x)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	96.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
✓	98.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 (PI.f32) x)))
▶	71.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau)))
	71.7%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 (PI.f32) x)))
▶	97.9%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (*.f32 (PI.f32) x) tau)))
	96.3%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) #s(literal 2 binary32)) tau) (sin.f32 (.f32 (PI.f32) x))))
	95.8%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x))))
	71.6%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))))
	97.4%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))))
	71.5%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)))
	97.7%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) tau) (*.f32 x (PI.f32))))
	64.3%	(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) x)) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32)))
	64.5%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))) (.f32 tau (.f32 (PI.f32) x)))
	64.2%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau) (sqrt.f32 x)) (sqrt.f32 (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	64.2%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau) (sqrt.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x)))
	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 tau (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))))
	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) x) (PI.f32))) (sqrt.f32 x))))
	64.2%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (sqrt.f32 (.f32 (PI.f32) x)) (sqrt.f32 (.f32 (PI.f32) x)))))
✓	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (PI.f32) x)))
▶	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau x) (PI.f32))) (.f32 tau (.f32 (PI.f32) x)))
	64.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau) (sqrt.f32 (*.f32 (PI.f32) x)))))
	64.1%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau))))
	64.4%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau x))))
▶	64.3%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau (PI.f32)))))
	64.3%	(/.f32 #s(literal -1 binary32) (.f32 (neg.f32 tau) (/.f32 (.f32 (PI.f32) x) #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)))))
	97.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
✓	97.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	71.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	64.4%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 x (PI.f32))))
	64.4%	(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))
	64.4%	(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau (PI.f32))) (/.f32 #s(literal 1 binary32) x))
	64.4%	(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
	64.5%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)))
	97.8%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 (PI.f32) x) tau))))
	97.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau)))
	64.5%	(.f32 (neg.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau)) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)))
	64.6%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (.f32 x x) #s(literal -1 binary32))))
	64.6%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (.f32 x x) #s(literal -1 binary32))))
	96.3%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau) (sqrt.f32 (.f32 (PI.f32) x)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	96.8%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	96.8%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)))) (.f32 (.f32 (.f32 (*.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	96.7%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (.f32 (.f32 (.f32 (*.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	96.8%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) x) x)) (sqrt.f32 (PI.f32))))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	96.3%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (*.f32 x x) tau) (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (neg.f32 (cbrt.f32 (PI.f32)))))))
	97.2%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) (neg.f32 x)))))
	97.1%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) tau) (neg.f32 (PI.f32))))))
	97.2%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) (neg.f32 x)) x))))
	97.2%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 tau x)) (neg.f32 (PI.f32))))))
	97.2%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x x) (.f32 tau (PI.f32))) (neg.f32 (PI.f32))))))
	97.0%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (neg.f32 (PI.f32)) (PI.f32))))))
	97.1%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) (.f32 tau (.f32 (neg.f32 (PI.f32)) (PI.f32)))))))
	96.8%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	64.4%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 #s(approx (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	96.9%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 x x) tau) (PI.f32))))))
	91.9%	(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #s(literal -1 binary32)))
	64.6%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* tau (* x (PI))) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	65.3%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* tau (* x (PI))) (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	64.6%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau #s(literal -1/6 binary32)) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	53.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
✓	64.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 3 326 to 2 153 computations (35.3% saved)

simplify336.0ms (3.2%)

Memory

19.0MiB live, 138.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	412
0	74	410
1	144	410
2	366	410
3	1209	410
4	2552	410
5	2648	410
6	2751	410
7	2857	410
8	2871	410
9	2871	410
10	3812	410
11	3812	410
12	3812	410
13	4074	410
14	4093	410
15	4094	410
16	4094	410
17	5636	410
18	6428	410
19	6484	410
20	6618	410
21	6691	410
22	6699	410
23	6699	410
24	6699	410
25	6836	410
26	6933	410
27	6935	410
28	6935	410
29	6935	410
30	7217	410
31	7295	410
32	7295	410
33	7295	410
34	7295	410
0	7295	410

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize104.0ms (1%)

Memory

8.7MiB live, 206.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3397509136322586	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
accuracy	0.3515625	(.f32 (PI.f32) (.f32 tau (PI.f32)))
accuracy	0.356132519536884	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) x))
accuracy	0.36166000976844204	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))
accuracy	0.3397509136322586	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.37109375	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
accuracy	0.44472509768442026	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
accuracy	8.77011776936511	#s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))
accuracy	0.33203125	(*.f32 (PI.f32) x)
accuracy	0.35546875	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau (PI.f32)))))
accuracy	0.42025375976844204	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau (PI.f32)))
accuracy	11.039909703124776	#s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau))
accuracy	0.33203125	(*.f32 (PI.f32) x)
accuracy	0.3951950195368841	(.f32 (.f32 tau x) (PI.f32))
accuracy	0.44472509768442026	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau x) (PI.f32))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	11.039909703124776	#s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau x) (PI.f32)))
accuracy	0.3397509136322586	(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
accuracy	0.34212875976844204	(/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (*.f32 (PI.f32) x) tau)))
accuracy	0.34994125976844204	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (*.f32 (PI.f32) x) tau)))
accuracy	0.3671875	(.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) tau))

Samples

79.0ms

256×

valid

Compiler

Compiled 676 to 67 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 20.0ms (35.6% of total)

ival-div: 15.0ms (26.7% of total)

ival-sin: 15.0ms (26.7% of total)

ival-sinu: 5.0ms (8.9% of total)

ival-pi: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.6%)

Memory

-10.1MiB live, 66.2MiB allocated

Counts

25 → 528

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	tau	@	inf	((/ (sin (* (PI) x)) (* (/ (* (PI) x) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* (* tau x) (PI)) (* tau x) (/ x (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI)))) (/ 1 (/ x (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI))))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* (PI) (* tau (PI))) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* (/ (* (PI) x) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau)) (/ (* (PI) x) (sin (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) (* tau (PI))))
7.0ms	tau	@	-inf	((/ (sin (* (PI) x)) (* (/ (* (PI) x) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* (* tau x) (PI)) (* tau x) (/ x (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI)))) (/ 1 (/ x (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI))))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* (PI) (* tau (PI))) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* (/ (* (PI) x) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau)) (/ (* (PI) x) (sin (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) (* tau (PI))))
6.0ms	x	@	-inf	((/ (sin (* (PI) x)) (* (/ (* (PI) x) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* (* tau x) (PI)) (* tau x) (/ x (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI)))) (/ 1 (/ x (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI))))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* (PI) (* tau (PI))) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* (/ (* (PI) x) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau)) (/ (* (PI) x) (sin (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) (* tau (PI))))
5.0ms	tau	@	0	((/ (sin (* (PI) x)) (* (/ (* (PI) x) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* (* tau x) (PI)) (* tau x) (/ x (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI)))) (/ 1 (/ x (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI))))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* (PI) (* tau (PI))) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* (/ (* (PI) x) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau)) (/ (* (PI) x) (sin (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) (* tau (PI))))
4.0ms	x	@	inf	((/ (sin (* (PI) x)) (* (/ (* (PI) x) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* (* tau x) (PI)) (* tau x) (/ x (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI)))) (/ 1 (/ x (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI))))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* (PI) (* tau (PI))) x)) (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (sin (* tau (* x (PI)))) (* (/ (* (PI) x) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau)) (/ (* (PI) x) (sin (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (sin (* (PI) x)) (* (PI) (* tau (PI))))

simplify227.0ms (2.1%)

Memory

-14.3MiB live, 307.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	572	10054
1	2039	9676
2	5095	9573
0	8188	9250

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 525

Calls

Call 1

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

Outputs
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(* tau (sin (* x (PI))))
(.f32 tau (sin.f32 (.f32 (PI.f32) x)))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 4 binary32))))) (.f32 tau tau) (sin.f32 (.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 6 binary32))))) (.f32 tau tau))) (.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau)
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau x)
(*.f32 tau x)
(* tau x)
(*.f32 tau x)
(* tau x)
(*.f32 tau x)
(* tau x)
(*.f32 tau x)
(/ (* x (PI)) (sin (* x (PI))))
(/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))
(+ (* 1/6 (/ (* (pow tau 2) (* (pow x 3) (pow (PI) 3))) (sin (* x (PI))))) (/ (* x (PI)) (sin (* x (PI)))))
(fma.f32 (.f32 (.f32 (.f32 tau tau) (pow.f32 x #s(literal 3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))
(+ (* (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)))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (/.f32 (pow.f32 x #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 7/360 binary32)) (.f32 tau tau) (.f32 (.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))
(+ (* (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)))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (-.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (/.f32 (pow.f32 x #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 7/360 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 x x)) (/.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal -7/360 binary32))) (.f32 (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (pow.f32 x #s(literal 7 binary32)) #s(literal 1/840 binary32)))) (.f32 tau tau))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (PI)))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (PI)))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x)))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (PI)))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x)))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(* tau (sin (* x (PI))))
(.f32 tau (sin.f32 (.f32 (PI.f32) x)))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 4 binary32))))) (.f32 tau tau) (sin.f32 (.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 6 binary32))))) (.f32 tau tau))) (.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau)
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(* tau (sin (* x (PI))))
(.f32 tau (sin.f32 (.f32 (PI.f32) x)))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 4 binary32))))) (.f32 tau tau) (sin.f32 (.f32 (PI.f32) x))) tau)
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 6 binary32))))) (.f32 tau tau))) (.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau)
tau
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))))) (*.f32 tau tau) #s(literal 1 binary32)) tau)
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))))) (.f32 tau tau))) (.f32 tau tau) #s(literal 1 binary32)) tau)
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (*.f32 (PI.f32) x)) tau)
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32))))) (.f32 tau tau) (.f32 (PI.f32) x)) tau)
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 tau tau))) (.f32 tau tau) (*.f32 (PI.f32) x)) tau)
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(* tau (* (PI) (sin (* x (PI)))))
(.f32 (.f32 tau (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau)
(* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))
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(* tau (* x (PI)))
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(.f32 (fma.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32)))) (.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (*.f32 tau (PI.f32))) x)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32)))) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/720 binary32) (+.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 tau #s(literal 5 binary32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau)))) (.f32 x x) (.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 tau (PI.f32))) x)
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (.f32 x x) (*.f32 tau (PI.f32))) x)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32)))) (.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (*.f32 tau (PI.f32))) x)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32)))) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/720 binary32) (+.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 tau #s(literal 5 binary32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau)))) (.f32 x x) (.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 tau (PI.f32))) x)
tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 x x)))) (*.f32 x x) tau)
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 x x)))) (.f32 x x))) (.f32 x x) tau)
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau (PI.f32))) x)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 x x) (.f32 tau (PI.f32))) x)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 x x)))) (.f32 x x))) (.f32 x x) (*.f32 tau (PI.f32))) x)
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32)))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 tau tau) #s(literal 1/120 binary32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32)))) (.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) x)
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32)))) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (+.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 tau #s(literal 5 binary32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau)))) (.f32 x x) (.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)
(* tau (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 tau (pow.f32 tau #s(literal 3 binary32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32)))) (.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32)))) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (+.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 tau #s(literal 5 binary32))) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau)))) (.f32 x x) (.f32 (.f32 #s(literal 1/36 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal -1/6 binary32) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 tau (PI.f32))) x)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 x x) (.f32 tau (PI.f32))) x)
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 x x)))) (.f32 x x))) (.f32 x x) (*.f32 tau (PI.f32))) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 3 binary32))) (PI.f32)) x)
(* x (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 7/360 binary32)) (.f32 x x))) (.f32 x x) (PI.f32)) x)
(* x (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(.f32 (.f32 tau (.f32 x x)) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(.f32 (.f32 tau (.f32 x x)) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(.f32 (.f32 tau (.f32 x x)) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(.f32 (.f32 tau (.f32 x x)) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau x)
(*.f32 tau x)
(* tau x)
(*.f32 tau x)
(* tau x)
(*.f32 tau x)
(* tau x)
(*.f32 tau x)
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(.f32 (/.f32 (.f32 tau (.f32 x x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(.f32 (/.f32 (.f32 tau (.f32 x x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(.f32 (/.f32 (.f32 tau (.f32 x x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(.f32 (/.f32 (.f32 tau (.f32 x x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(.f32 (.f32 tau (.f32 x x)) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(.f32 (.f32 tau (.f32 x x)) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(.f32 (.f32 tau (.f32 x x)) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(.f32 (.f32 tau (.f32 x x)) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))

rewrite193.0ms (1.8%)

Memory

7.3MiB live, 164.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	343
0	74	345
1	239	341
2	1368	333
0	8293	333

Stop Event

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

Counts

25 → 1 332

Calls

Call 1

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

Outputs
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eval394.0ms (3.7%)

Memory: -2.1MiB live, 394.7MiB allocated
Compiler: Compiled 64 156 to 6 023 computations (90.6% saved)

prune402.0ms (3.8%)

Memory

27.6MiB live, 466.6MiB allocated

Pruning

183 alts after pruning (178 fresh and 5 done)

	Pruned	Kept	Total
New	2 644	116	2 760
Fresh	16	62	78
Picked	2	3	5
Done	2	2	4
Total	2 664	183	2 847

Accuracy

99.9%

Counts

2 847 → 183

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.5%	(/.f32 (/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) x) (PI.f32)) (.f32 tau (*.f32 (PI.f32) x)))
	64.2%	(/.f32 (/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau) (sqrt.f32 (.f32 (PI.f32) x))) (sqrt.f32 (.f32 (PI.f32) x)))
	64.4%	(/.f32 (/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) x)
	64.3%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 tau #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))))
	71.3%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (.f32 (/.f32 tau #s(approx (sin ( (PI) x)) (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))))
	71.5%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) #s(approx (sin ( (PI) x)) (.f32 x (PI.f32)))) (PI.f32)) (.f32 tau (*.f32 (PI.f32) x)))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)))) x) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32)))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3/2 binary32)))))) x) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
	97.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) x) x)) (sqrt.f32 (PI.f32))))) x) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
	94.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))))) x) (.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) x))
	96.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau) (sqrt.f32 (*.f32 (PI.f32) x))) (PI.f32)))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) x) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))
	71.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) x) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32)))
	71.5%	(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 tau x) (.f32 x (PI.f32)))) (PI.f32))
	71.5%	(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 x (PI.f32))) (.f32 tau (.f32 (PI.f32) x)))
	71.4%	(/.f32 (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) x) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x))
	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) tau))
	64.2%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau)) (sqrt.f32 (*.f32 (PI.f32) x)))
	64.3%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau (PI.f32))) x)
	64.5%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
	64.4%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) x) (*.f32 tau (PI.f32)))
	64.5%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x))
	64.4%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 (sqrt.f32 (PI.f32)) tau)) (.f32 (sqrt.f32 (PI.f32)) x))
	64.3%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 x (PI.f32))) tau)
	64.4%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (*.f32 tau x))
	64.4%	(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) tau) (*.f32 x (PI.f32)))
	64.2%	(/.f32 (/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) x) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
	64.2%	(/.f32 (/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) x) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) x))
	71.5%	(/.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))) (.f32 tau (.f32 (PI.f32) x)))
	71.5%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (.f32 tau (PI.f32))) #s(approx (sin ( (PI) x)) (*.f32 x (PI.f32)))) x)
	71.5%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (.f32 tau x)) #s(approx (sin ( (PI) x)) (*.f32 x (PI.f32)))) (PI.f32))
	71.4%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.8%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 (PI.f32) x)))
	71.5%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	71.5%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (PI.f32) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	71.3%	(/.f32 (.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 (PI.f32))) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	71.5%	(/.f32 (.f32 (/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) x)) (neg.f32 (PI.f32))) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (*.f32 x x) tau) (PI.f32)))
	71.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) #s(approx (sin (* (PI) x)) (*.f32 x (PI.f32)))) tau)
	71.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 x (PI.f32)))) (.f32 tau x))
	71.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 #s(approx (sin ( (PI) x)) (*.f32 x (PI.f32))) x)) (PI.f32))
	71.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))))) (.f32 (neg.f32 (PI.f32)) x))
	71.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (sin (* (PI) x)) (.f32 x (PI.f32)))) (.f32 (*.f32 (neg.f32 tau) x) (PI.f32)))
	71.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 tau (PI.f32)))) x)
	71.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 tau x))) (PI.f32))
	71.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (PI.f32))) (.f32 tau x))
	71.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) x)) (.f32 tau (PI.f32)))
	71.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) x)) (.f32 tau (*.f32 (PI.f32) x)))
	71.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) #s(approx (sin ( (PI) x)) (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 tau (PI.f32)) x) x))
	71.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 (*.f32 tau (PI.f32)) x))) (PI.f32))
	71.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (PI.f32))) (.f32 tau (*.f32 (PI.f32) x)))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 x (.f32 (PI.f32) x)))
	96.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
	71.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (.f32 (PI.f32) x)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	71.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))))) (.f32 (PI.f32) x)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	71.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	71.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (.f32 tau (.f32 (PI.f32) x)))
	71.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))))
	64.3%	(/.f32 (.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) tau)
	64.4%	(/.f32 (.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)
	71.4%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)) (PI.f32))) x)
	71.5%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 x (sin.f32 (.f32 (*.f32 tau (PI.f32)) x))))
	71.7%	(/.f32 (.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 x (PI.f32)))
	71.4%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)) (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) #s(approx (sin (* (PI) x)) (*.f32 x (PI.f32))))) x)
	64.3%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau x)) #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (PI.f32))
	71.5%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))) (*.f32 tau x))
	64.4%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (*.f32 tau x))
	97.2%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) x))
	64.3%	(/.f32 (.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (neg.f32 tau))) (PI.f32))
	64.4%	(/.f32 (.f32 (/.f32 #s(literal -1 binary32) x) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (*.f32 (neg.f32 tau) (PI.f32)))
	71.6%	(/.f32 (.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 x)) (neg.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	71.4%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	71.3%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) #s(approx (sin (* (PI) x)) (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) x)) (.f32 tau (*.f32 (PI.f32) x)))
	71.6%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32))) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	71.5%	(/.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 x (PI.f32))) (neg.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	71.6%	(/.f32 (.f32 (.f32 (neg.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32)))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 tau (PI.f32)) x))) (.f32 x (PI.f32)))
	71.4%	(/.f32 (.f32 (.f32 (neg.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32)))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal -1 binary32) (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) (neg.f32 tau)) (neg.f32 x)))
	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau)))
	71.7%	(/.f32 (.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (.f32 (PI.f32) x)))
	64.6%	(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	71.4%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (.f32 x (PI.f32))))) (.f32 tau (PI.f32)))
	71.5%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (.f32 (neg.f32 tau) x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	96.1%	(/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) tau)))
	97.6%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (/.f32 (.f32 (.f32 x (PI.f32)) x) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (*.f32 tau (PI.f32))))
	97.5%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) tau)))
✓	97.9%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (*.f32 (PI.f32) x) tau)))
	97.3%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (/.f32 x (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (PI.f32)) (.f32 (*.f32 (PI.f32) x) tau)))
	97.2%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) x) tau)))
	65.3%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx ( (/ (* (PI) x) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau)) (*.f32 (PI.f32) x)))
	96.3%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) #s(literal 2 binary32)) tau) (sin.f32 (.f32 (PI.f32) x))))
	95.8%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 x (PI.f32))) (sqrt.f32 (.f32 x (PI.f32)))) #s(literal 2 binary32)) tau) (sin.f32 (*.f32 (PI.f32) x))))
	97.4%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))))
	71.5%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)))
	97.7%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) tau) (*.f32 x (PI.f32))))
	64.4%	(/.f32 (neg.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (neg.f32 tau) x) (PI.f32)))
	64.2%	(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) x))
	64.3%	(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) x)) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32)))
	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)))) (.f32 tau (.f32 (PI.f32) x)))
	64.2%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau) (sqrt.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x)))
	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 tau (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))))
	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) x) (PI.f32))) (sqrt.f32 x))))
	64.2%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (sqrt.f32 (.f32 (PI.f32) x)) (sqrt.f32 (.f32 (PI.f32) x)))))
✓	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (PI.f32) x)))
✓	64.4%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau x) (PI.f32))) (.f32 tau (.f32 (PI.f32) x)))
	71.6%	(/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (*.f32 (PI.f32) x) tau)))
	71.5%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (.f32 tau (PI.f32)) x) x) (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) #s(approx (sin (* (PI) x)) (*.f32 x (PI.f32))))))
	71.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau x) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (/.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) (sin.f32 (.f32 (*.f32 tau (PI.f32)) x))))))
	64.1%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau))))
	71.4%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 tau x) (.f32 x (PI.f32))))))
	64.4%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau x))))
	64.3%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) tau)))
	64.3%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))) tau)) (.f32 tau (PI.f32)))))
	64.2%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) tau)) (.f32 tau (PI.f32)))))
✓	64.3%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau (PI.f32)))))
	64.4%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (PI.f32)) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))))))
	64.3%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 (sqrt.f32 (PI.f32)) tau))))))
	64.1%	(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
	64.3%	(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) tau))))
	64.3%	(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) tau) (/.f32 #s(literal 1 binary32) (PI.f32)))))
	64.4%	(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)))))
	64.6%	(/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) x))))
	64.3%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (neg.f32 tau)) (*.f32 x (PI.f32)))))
	64.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 x #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau))
	64.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 x #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) tau)) (PI.f32)))
	64.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 x (PI.f32)) #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) tau))
	64.4%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 tau (PI.f32)) #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) x))
	64.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 tau x) #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (PI.f32)))
	64.4%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (neg.f32 x) (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) tau)) (neg.f32 (PI.f32))))
	64.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (*.f32 tau x)))
	64.2%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 (sqrt.f32 (PI.f32)) tau))) (sqrt.f32 (PI.f32))))
	64.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (PI.f32))) tau))
	64.4%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 x #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (*.f32 tau (PI.f32))))
	64.2%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 tau #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (*.f32 x (PI.f32))))
	64.6%	(/.f32 #s(literal 1 binary32) #s(approx (/ x (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI)))) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))))
	71.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32))) tau) #s(approx (sin (* (PI) x)) (*.f32 x (PI.f32))))
	97.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
	71.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	71.5%	(.f32 (/.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))
	64.4%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
	64.4%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (neg.f32 tau) (PI.f32))) (neg.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))))
	64.4%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau))
	71.5%	(.f32 (/.f32 (.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 tau x) (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32)))
	71.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) (PI.f32))) (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (.f32 tau x)))
	71.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 x (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 (*.f32 tau (PI.f32)) x)))
	64.4%	(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))
	64.4%	(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau (PI.f32))) (/.f32 #s(literal 1 binary32) x))
	64.4%	(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
	64.3%	(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
	64.4%	(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (neg.f32 tau)) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
	64.4%	(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau x)))
	71.4%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))) (/.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))) (/.f32 #s(literal 1 binary32) (.f32 tau x)))
	97.4%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) x) (sin.f32 (.f32 x (PI.f32)))))
	64.5%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)))
	64.5%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)))
	71.5%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) #s(approx (sin (* (PI) x)) (.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (*.f32 tau (PI.f32)) x)))
	71.4%	(.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (*.f32 tau (PI.f32)) x)) (PI.f32))) (/.f32 #s(literal 1 binary32) x))
	71.6%	(.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 x (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (neg.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)))) (/.f32 #s(literal -1 binary32) (.f32 x (PI.f32))))
	97.8%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 (PI.f32) x) tau))))
	64.6%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (.f32 x x) #s(literal -1 binary32))))
	64.6%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (.f32 x x) #s(literal -1 binary32))))
	96.3%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau) (sqrt.f32 (.f32 (PI.f32) x)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	96.8%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	96.8%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x)))) (.f32 (.f32 (.f32 (*.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	96.7%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (.f32 (.f32 (.f32 (*.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	96.8%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) x) x)) (sqrt.f32 (PI.f32))))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	96.3%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (*.f32 x x) tau) (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (neg.f32 (cbrt.f32 (PI.f32)))))))
	97.1%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) tau) (neg.f32 (PI.f32))))))
	97.2%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) (neg.f32 x)) x))))
	97.2%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) (.f32 tau x)) (neg.f32 (PI.f32))))))
	97.2%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x x) (.f32 tau (PI.f32))) (neg.f32 (PI.f32))))))
	97.0%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (neg.f32 (PI.f32)) (PI.f32))))))
	96.8%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	64.4%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 #s(approx (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
	96.9%	(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (*.f32 x x) tau) (PI.f32))))))
	91.9%	(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau) (sin.f32 (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) #s(literal -1 binary32)))
	64.6%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* (PI) (* tau (PI))) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	64.6%	#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* tau (* x (PI))) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	64.6%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau #s(literal -1/6 binary32)) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	63.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
✓	64.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 8 665 to 3 201 computations (63.1% saved)

regimes316.0ms (3%)

Memory

-16.6MiB live, 458.1MiB allocated

Counts

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

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

Calls

4 calls:

95.0ms	(*.f32 x (PI.f32))
74.0ms	(.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))))
69.0ms	tau
67.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes213.0ms (2%)

Memory

8.5MiB live, 364.9MiB allocated

Counts

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

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

Calls

4 calls:

57.0ms	x
50.0ms	tau
50.0ms	(*.f32 x (PI.f32))
49.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes210.0ms (2%)

Memory

16.7MiB live, 406.3MiB allocated

Counts

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

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

Calls

4 calls:

56.0ms	x
50.0ms	(*.f32 x (PI.f32))
49.0ms	(.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))))
48.0ms	tau

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes438.0ms (4.1%)

Memory

-170.2MiB live, 386.8MiB allocated

Counts

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

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

Calls

4 calls:

296.0ms	(*.f32 x (PI.f32))
48.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
44.0ms	tau
43.0ms	x

Results

Accuracy	Segments	Branch
71.7%	1	`x`
71.7%	1	`tau`
71.7%	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))))`
71.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes195.0ms (1.8%)

Memory

12.0MiB live, 249.6MiB allocated

Counts

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

Outputs
(.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)))

Calls

4 calls:

102.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
30.0ms	tau
29.0ms	x
29.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
71.7%	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))))`
71.7%	1	`x`
71.7%	1	`tau`
71.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes111.0ms (1%)

Memory

0.2MiB live, 201.8MiB allocated

Counts

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

Outputs
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)))

Calls

4 calls:

33.0ms	tau
25.0ms	(*.f32 x (PI.f32))
24.0ms	x
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))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes137.0ms (1.3%)

Memory

23.7MiB live, 215.6MiB 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 (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau x) (PI.f32))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau #s(literal -1/6 binary32)) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* tau (* x (PI))) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* (PI) (* tau (PI))) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (.f32 x x) #s(literal -1 binary32))))
(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (.f32 x x) #s(literal -1 binary32))))
(/.f32 (neg.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (neg.f32 tau) x) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (*.f32 tau x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 x (PI.f32))) tau)
(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau (PI.f32))) x)
(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau)
(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (.f32 (.f32 (.f32 (PI.f32) tau) (PI.f32)) x)) (.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32)))
(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) x))
(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau x)))
(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau (PI.f32))) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) tau))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 tau #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 x #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (*.f32 tau (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (*.f32 tau x)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 tau x) #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (PI.f32)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 tau (PI.f32)) #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) x))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 x (PI.f32)) #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) tau))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (*.f32 tau x))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau x)) #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (PI.f32))
(/.f32 #s(literal 1 binary32) #s(approx (/ x (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI)))) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))))
(/.f32 (/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau) (PI.f32)) x)
(.f32 (neg.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau)) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (neg.f32 tau)) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(literal -1 binary32) (.f32 (neg.f32 tau) (/.f32 (.f32 (PI.f32) x) #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)))))
(/.f32 (.f32 (/.f32 #s(literal -1 binary32) x) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (*.f32 (neg.f32 tau) (PI.f32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (neg.f32 tau) (PI.f32))) (neg.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (PI.f32))) tau))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 tau x))))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 tau (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))))
(/.f32 (.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) x) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)
(/.f32 (.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) tau)
(/.f32 (.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (neg.f32 tau))) (PI.f32))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (neg.f32 x) (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) tau)) (neg.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)))))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (PI.f32)) x)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (/.f32 tau #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))))
(neg.f32 #s(approx (/ (* (/ (sin (* (PI) x)) (* (neg (PI)) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 #s(approx (* (sin (* (* tau (PI)) x)) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x x) tau) (PI.f32)) (neg.f32 (PI.f32))))))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) x) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) x))
(/.f32 (/.f32 #s(approx (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) x) (.f32 (.f32 tau (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 x #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) tau)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 x #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau))
(/.f32 #s(literal 1 binary32) (/.f32 x #s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (PI))) (.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) tau) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (PI.f32)) (/.f32 #s(literal 1 binary32) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau (PI.f32)) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x))) tau)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (neg.f32 tau)) (*.f32 x (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (sqrt.f32 (.f32 (PI.f32) x)) (sqrt.f32 (.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 tau (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) x) (PI.f32))) (sqrt.f32 x))))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau) (sqrt.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (.f32 (sqrt.f32 (PI.f32)) tau)) (.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau)) (sqrt.f32 (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau) (sqrt.f32 x)) (sqrt.f32 (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 (sqrt.f32 (PI.f32)) tau))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) tau)) (.f32 tau (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau) (sqrt.f32 (.f32 (PI.f32) x))) (sqrt.f32 (.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))) tau)) (.f32 tau (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (sqrt.f32 (.f32 (PI.f32) x)) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 (sqrt.f32 (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(approx ( (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 (PI.f32) x) tau)) tau) (sqrt.f32 (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)) (*.f32 (sqrt.f32 (PI.f32)) tau))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x) (* (* tau (* x (PI))) (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx ( (/ (* (PI) x) (sin (* (* (PI) x) tau))) (* (* (PI) x) tau)) (*.f32 (PI.f32) x)))

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

Calls

4 calls:

54.0ms	x
31.0ms	(*.f32 x (PI.f32))
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))))
24.0ms	tau

Results

Accuracy	Segments	Branch
65.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
65.3%	1	`x`
65.3%	1	`(*.f32 x (PI.f32))`
65.3%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes106.0ms (1%)

Memory

-13.7MiB live, 182.7MiB allocated

Accuracy

Total -1.5b remaining (-12.9%)

Threshold costs -1.5b (-12.9%)

Counts

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

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

Calls

4 calls:

30.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
26.0ms	tau
23.0ms	x
23.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
64.6%	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))))`
64.6%	1	`x`
64.6%	1	`(*.f32 x (PI.f32))`
64.6%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify67.0ms (0.6%)

Memory

-12.8MiB live, 67.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	191
1	85	191
2	104	191
3	129	189
4	179	189
5	271	189
6	394	189
7	513	189
8	617	189
9	701	189
10	757	189
11	787	189
12	805	189
13	818	189
14	829	189
15	834	189
16	835	189

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x)) (neg.f32 #s(approx (sin ( (PI) x)) (.f32 x (PI.f32))))) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 tau (PI.f32)) x))) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (* (pow (* (PI) x) 2) tau) (sin (* (PI) x))) (.f32 (.f32 tau (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

soundness1.2s (10.8%)

Memory

38.6MiB live, 660.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	1582
1	620	1562
2	2407	1538
3	4137	1538
4	4871	1538
5	5550	1538
6	5940	1538
7	5971	1538
8	5971	1538
0	8816	1486
0	35	216
0	58	222
1	222	206
2	1427	206
3	7411	206
0	8615	206
0	50	405
0	89	375
1	323	365
2	1892	357
0	8318	357
0	42	343
0	74	345
1	239	341
2	1368	333
0	8293	333
0	10	55
0	18	55
1	63	55
2	483	53
3	6485	53
0	8114	53
0	435	6390
1	1550	6174
2	6538	6171
0	8194	5978

Stop Event

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

Compiler

Compiled 346 to 147 computations (57.5% saved)

preprocess102.0ms (1%)

Memory

-6.0MiB live, 153.2MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 876 to 358 computations (59.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	55	191
1	85	191
2	104	191
3	129	189
4	179	189
5	271	189
6	394	189
7	513	189
8	617	189
9	701	189
10	757	189
11	787	189
12	805	189
13	818	189
14	829	189
15	834	189
16	835	189

Iter	Nodes	Cost
0	55	191
1	85	191
2	104	191
3	129	189
4	179	189
5	271	189
6	394	189
7	513	189
8	617	189
9	701	189
10	757	189
11	787	189
12	805	189
13	818	189
14	829	189
15	834	189
16	835	189

start0.0ms (0%)

analyze27.0ms (0.3%)

sample1.5s (14.4%)

explain212.0ms (2%)

preprocess73.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify20.0ms (0.2%)

localize66.0ms (0.6%)

series84.0ms (0.8%)

simplify342.0ms (3.2%)

rewrite184.0ms (1.7%)

eval230.0ms (2.2%)

prune242.0ms (2.3%)

simplify89.0ms (0.8%)

localize192.0ms (1.8%)

series63.0ms (0.6%)

simplify289.0ms (2.7%)

rewrite301.0ms (2.8%)

eval328.0ms (3.1%)

prune159.0ms (1.5%)

simplify147.0ms (1.4%)

localize179.0ms (1.7%)

series67.0ms (0.6%)

simplify222.0ms (2.1%)

rewrite197.0ms (1.9%)

eval390.0ms (3.7%)

prune232.0ms (2.2%)

simplify336.0ms (3.2%)

localize104.0ms (1%)

series67.0ms (0.6%)

simplify227.0ms (2.1%)

rewrite193.0ms (1.8%)

eval394.0ms (3.7%)

prune402.0ms (3.8%)

regimes316.0ms (3%)

regimes213.0ms (2%)

regimes210.0ms (2%)

regimes438.0ms (4.1%)

regimes195.0ms (1.8%)

regimes111.0ms (1%)

regimes137.0ms (1.3%)

regimes106.0ms (1%)

simplify67.0ms (0.6%)

soundness1.2s (10.8%)

preprocess102.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	55	191
1	85	191
2	104	191
3	129	189
4	179	189
5	271	189
6	394	189
7	513	189
8	617	189
9	701	189
10	757	189
11	787	189
12	805	189
13	818	189
14	829	189
15	834	189
16	835	189