Metrics for Beckmann Sample, normalization factor

analyze25.0ms (0.2%)

Memory

17.5MiB live, 56.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.3%	87.7%	0%	0%	0%	0
0%	0%	12.3%	87.7%	0%	0%	0%	1
50%	6.2%	6.2%	87.7%	0%	0%	0%	2
50%	6.2%	6.2%	87.7%	0%	0%	0%	3
75%	9.2%	3.1%	87.7%	0%	0%	0%	4
75%	9.2%	3.1%	87.7%	0%	0%	0%	5
87.5%	10.8%	1.5%	87.7%	0%	0%	0%	6
87.5%	10.8%	1.5%	87.7%	0%	0%	0%	7
93.8%	11.5%	0.8%	87.7%	0%	0%	0%	8
93.8%	11.5%	0.8%	87.7%	0%	0%	0%	9
96.9%	11.9%	0.4%	87.7%	0%	0%	0%	10
96.9%	11.9%	0.4%	87.7%	0%	0%	0%	11
98.4%	12.1%	0.2%	87.7%	0%	0%	0%	12

Compiler

Compiled 41 to 29 computations (29.3% saved)

sample2.6s (18.6%)

Memory

46.9MiB live, 2 844.8MiB allocated

Samples

1.9s	8 256×	0	valid
9.0ms	63×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-div: 548.0ms (35.6% of total)

ival-mult: 187.0ms (12.2% of total)

ival-<: 148.0ms (9.6% of total)

ival-sub: 146.0ms (9.5% of total)

...in/eval/compile.rkt:111:19: 124.0ms (8.1% of total)

ival-sqrt: 115.0ms (7.5% of total)

ival-add: 88.0ms (5.7% of total)

ival-exp: 75.0ms (4.9% of total)

ival-pi: 37.0ms (2.4% of total)

ival-neg: 36.0ms (2.3% of total)

ival-and: 21.0ms (1.4% of total)

...in/eval/compile.rkt:110:19: 10.0ms (0.7% of total)

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

Bogosity

preprocess147.0ms (1%)

Memory

-8.7MiB live, 110.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 240×	`div-sub`
946×	`distribute-lft-neg-in`
738×	`fma-define`
728×	`distribute-rgt-neg-in`
714×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	687
1	149	596
2	435	592
3	1471	560
4	4275	560
5	5908	560
6	7649	560

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (neg.f32 cosTheta)) (neg.f32 cosTheta))) (neg.f32 cosTheta))) (exp.f32 (*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (neg.f32 c)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (neg.f32 cosTheta)) (neg.f32 cosTheta))) (neg.f32 cosTheta))) (exp.f32 (*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (neg.f32 c)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) c) c)) c)) (exp.f32 (*.f32 (neg.f32 c) c)))))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (neg.f32 cosTheta)) (neg.f32 cosTheta))) (neg.f32 cosTheta))) (exp.f32 (*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (exp.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (neg.f32 c)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (-.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (-.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) c)))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (neg.f32 cosTheta)) (neg.f32 cosTheta))) (neg.f32 cosTheta))) (exp.f32 (*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta)))))))
(/.f32 #s(literal -1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
(/.f32 #s(literal -1 binary32) (fma.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (-.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) c)))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (neg.f32 c)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
(/.f32 #s(literal -1 binary32) (+.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (-.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (-.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal -1 binary32) (-.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (-.f32 c (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) c) c)) c)) (exp.f32 (*.f32 (neg.f32 c) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 c c))) c)) (sqrt.f32 (PI.f32))) (exp.f32 (neg.f32 (*.f32 c c))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) c))) c) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 c) (neg.f32 c)) (+.f32 #s(literal 1 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 c #s(literal -2 binary32)))) (pow.f32 (exp.f32 c) c)) (.f32 (sqrt.f32 (PI.f32)) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 cosTheta (/.f32 (/.f32 (sqrt.f32 (fma.f32 c #s(literal -2 binary32) #s(literal 1 binary32))) (pow.f32 (exp.f32 c) c)) (*.f32 c (sqrt.f32 (PI.f32)))))))

explain301.0ms (2.1%)

Memory

18.8MiB live, 495.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sqrt.f32 (PI.f32))`
-	-	`(PI.f32)`
-	-	`(*.f32 (neg.f32 cosTheta) cosTheta)`
-	-	`(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))`
-	-	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
-	-	`(+.f32 #s(literal 1 binary32) c)`
-	-	`cosTheta`
-	-	`(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))`
-	-	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
-	-	`c`
-	-	`(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))`
-	-	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
-	-	`(-.f32 #s(literal 1 binary32) cosTheta)`
-	-	`(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)`
-	-	`#s(literal 1 binary32)`
-	-	`(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)`
-	-	`(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))`
-	-	`(neg.f32 cosTheta)`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

80.0ms

512×

valid

Compiler

Compiled 310 to 76 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 10.0ms (21.7% of total)

ival-mult: 8.0ms (17.4% of total)

ival-sqrt: 7.0ms (15.2% of total)

ival-add: 5.0ms (10.9% of total)

ival-exp: 5.0ms (10.9% of total)

ival-sub: 4.0ms (8.7% of total)

ival-pi: 3.0ms (6.5% of total)

ival-neg: 3.0ms (6.5% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

eval1.0ms (0%)

Memory: 2.2MiB live, 2.2MiB allocated
Compiler: Compiled 92 to 40 computations (56.5% saved)

prune4.0ms (0%)

Memory

-33.2MiB live, 5.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
▶	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	98.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))

Status

Accuracy

Program

▶

98.4%

(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))

▶

97.9%

(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

▶

98.6%

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))

Compiler

Compiled 75 to 52 computations (30.7% saved)

simplify341.0ms (2.4%)

Memory

13.9MiB live, 134.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(sqrt.f32 (PI.f32))
✓	cost-diff	0	(*.f32 cosTheta #s(literal -2 binary32))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(sqrt.f32 (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) c)
✓	cost-diff	0	(sqrt.f32 (PI.f32))
✓	cost-diff	0	(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
✓	cost-diff	0	(*.f32 cosTheta #s(literal -2 binary32))
✓	cost-diff	32	(fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)

Rules

2 484×	`fma-define`
1 160×	`fmm-def`
978×	`div-sub`
714×	`associate-/r*`
626×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	1191
1	83	1112
2	167	1096
3	332	1096
4	490	1096
5	921	1096
6	2292	1096
7	3571	1096
8	4485	1096
9	5305	1096
10	5842	1096
11	6051	1096
12	6111	1096
13	6257	1096
14	6931	1096
15	6939	1096
16	6943	1096
17	6943	1096
18	6943	1096

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c))
(fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(*.f32 cosTheta #s(literal -2 binary32))
cosTheta
#s(literal -2 binary32)
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(exp.f32 (neg.f32 cosTheta))
(neg.f32 cosTheta)
c
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
#s(literal 1 binary32)
(fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c))
(/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(*.f32 cosTheta #s(literal -2 binary32))
cosTheta
#s(literal -2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(exp.f32 cosTheta)
(neg.f32 cosTheta)
(+.f32 #s(literal 1 binary32) c)
c

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta)))
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)
(fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)
(+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta)))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c)
(+.f32 c (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (exp.f32 cosTheta) cosTheta)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 cosTheta #s(literal -2 binary32))
cosTheta
#s(literal -2 binary32)
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(exp.f32 (neg.f32 cosTheta))
(neg.f32 cosTheta)
c
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta)))
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) (.f32 cosTheta (sqrt.f32 (PI.f32)))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (exp.f32 cosTheta) cosTheta))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) cosTheta)
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(*.f32 cosTheta (neg.f32 cosTheta))
(neg.f32 cosTheta)
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))
#s(literal 1 binary32)
(fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta)))
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) cosTheta)
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 cosTheta #s(literal -2 binary32))
cosTheta
#s(literal -2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(exp.f32 cosTheta)
(neg.f32 cosTheta)
(+.f32 #s(literal 1 binary32) c)
c

localize327.0ms (2.3%)

Memory

-20.4MiB live, 296.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c))
✓	accuracy	99.8%	(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
✓	accuracy	98.8%	(/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))
✓	accuracy	99.6%	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓	accuracy	98.2%	(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
✓	accuracy	96.9%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
✓	accuracy	99.8%	(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
✓	accuracy	99.1%	(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
✓	accuracy	98.8%	(*.f32 (sqrt.f32 (PI.f32)) cosTheta)

Samples

209.0ms

256×

valid

Compiler

Compiled 328 to 39 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-add: 58.0ms (36.4% of total)

ival-mult: 57.0ms (35.8% of total)

ival-pow: 16.0ms (10% of total)

ival-div: 12.0ms (7.5% of total)

ival-exp: 7.0ms (4.4% of total)

ival-sqrt: 5.0ms (3.1% of total)

ival-sub: 2.0ms (1.3% of total)

ival-pi: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series137.0ms (1%)

Memory

4.7MiB live, 162.6MiB allocated

Counts

17 → 225

Calls

Call 1

Inputs
#<alt (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)>
#<alt (*.f32 cosTheta #s(literal -2 binary32))>
#<alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta)>
#<alt (sqrt.f32 (PI.f32))>
#<alt (+.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))>
#<alt (PI.f32)>
#<alt (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))>
#<alt (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta))>
#<alt (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)>
#<alt (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))>
#<alt (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c))>

Outputs
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 c (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 c (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 c (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))))) cosTheta)>
#<alt (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (+.f32 c (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 c (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 c (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
#<alt (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))>
#<alt (+.f32 c (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))))>
#<alt (+.f32 c (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))>
#<alt (+.f32 c (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (.f32 #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))))>
#<alt (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))>
#<alt (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))>
#<alt (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))>
#<alt (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))>
#<alt c>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt c>
#<alt (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 1 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 1 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt #s(literal 1 binary32)>
#<alt c>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))>
#<alt c>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt #s(literal 1 binary32)>
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#<alt (*.f32 (sqrt.f32 cosTheta) (sqrt.f32 #s(literal -2 binary32)))>
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#<alt (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 cosTheta) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
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#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))>
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#<alt (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
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#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
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#<alt (+.f32 (.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (.f32 #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt c>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt c>
#<alt (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) c)) #s(literal 1 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) c)) #s(literal 1 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) c)) #s(literal 1 binary32))))>

Calls

57 calls:

Time	Variable		Point	Expression
55.0ms	cosTheta	@	inf	(+ (* (/ (sqrt (+ 1 (* cosTheta -2))) (* (sqrt (PI)) cosTheta)) (pow (exp (neg cosTheta)) cosTheta)) c)
8.0ms	c	@	0	(+ (* (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (sqrt (PI))) (pow (exp cosTheta) (neg cosTheta))) (+ 1 c))
8.0ms	c	@	0	(+ (* (/ (sqrt (+ 1 (* cosTheta -2))) (* (sqrt (PI)) cosTheta)) (pow (exp (neg cosTheta)) cosTheta)) c)
6.0ms	cosTheta	@	inf	(/ 1 (+ 1 (+ (* (/ (sqrt (+ 1 (* cosTheta -2))) (* (sqrt (PI)) cosTheta)) (pow (exp (neg cosTheta)) cosTheta)) c)))
5.0ms	cosTheta	@	-inf	(/ 1 (+ 1 (+ (* (/ (sqrt (+ 1 (* cosTheta -2))) (* (sqrt (PI)) cosTheta)) (pow (exp (neg cosTheta)) cosTheta)) c)))

rewrite308.0ms (2.2%)

Memory

7.2MiB live, 442.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

362×	`frac-times`
329×	`log1p-expm1-u`
329×	`expm1-log1p-u`
324×	`add-exp-log`
323×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	654
1	788	552

Stop Event

1×	node limit

Counts

17 → 369

Calls

Call 1

Inputs
(fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)
(*.f32 cosTheta #s(literal -2 binary32))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(+.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(PI.f32)
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c))

Outputs
(+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) c)
(-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))
(*.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)) (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))))
(cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))
(exp.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)) #s(literal 1 binary32)))
(-.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 3 binary32))
(pow.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) #s(literal -8 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 cosTheta) #s(literal -2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta #s(literal -2 binary32)))))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) #s(literal -8 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta #s(literal -2 binary32))))
(exp.f32 (log.f32 (*.f32 cosTheta #s(literal -2 binary32))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 cosTheta) (sqrt.f32 (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(exp.f32 (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (cbrt.f32 (PI.f32))))
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(fabs.f32 (sqrt.f32 (PI.f32)))
(log.f32 (exp.f32 (sqrt.f32 (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (PI.f32)))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (PI.f32))))
(log1p.f32 (expm1.f32 (sqrt.f32 (PI.f32))))
(exp.f32 (log.f32 (sqrt.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) c)) (/.f32 (pow.f32 c #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) c)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 1 binary32) c)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) c)) (sqrt.f32 (+.f32 #s(literal 1 binary32) c)))
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(pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(cbrt.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 3/2 binary32)) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(log1p.f32 (expm1.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(exp.f32 (log.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(exp.f32 (*.f32 (log.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
(fma.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 cosTheta)) (hypot.f32 #s(literal 1 binary32) (sqrt.f32 cosTheta)) cosTheta)
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))
(.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (cbrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) #s(literal -1 binary32))
(sqrt.f32 (/.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32)))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))

simplify436.0ms (3.1%)

Memory

4.9MiB live, 835.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 482×	`associate-r`
1 192×	`fma-define`
1 000×	`times-frac`
596×	`distribute-lft-in`
584×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1250	47542
1	3117	45080

Stop Event

1×	node limit

Counts

594 → 702

Calls

Call 1

Inputs
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 c (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 c (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 c (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))))) cosTheta)
(+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))
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#s(literal 1 binary32)
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(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))

Outputs
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 c (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 c (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 c (fma.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (+.f32 c (-.f32 (.f32 (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 c (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 c (fma.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (+.f32 c (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (.f32 (.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))
(+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))) c)
(+.f32 c (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))
(+.f32 c (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))
(+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))) c) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))
(+.f32 c (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))
(+.f32 c (fma.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))) (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))
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c
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c
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#s(literal 1 binary32)
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c
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c
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(cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))))
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))
(exp.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))

eval117.0ms (0.8%)

Memory: -0.2MiB live, 357.5MiB allocated
Compiler: Compiled 31 434 to 4 562 computations (85.5% saved)

prune209.0ms (1.5%)

Memory

-6.0MiB live, 473.4MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	869	29	898
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	872	29	901

Accuracy

100.0%

Counts

901 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	94.1%	(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
	95.1%	(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))) #s(literal -2 binary32))
	95.3%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
	91.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	91.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	91.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	44.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	45.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	84.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	95.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
▶	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
▶	97.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
	96.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	51.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
	10.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
	51.6%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))))
▶	51.6%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
	52.1%	(/.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) c)) #s(literal 1 binary32)))))
▶	5.0%	(/.f32 #s(literal 1 binary32) c)
	94.3%	(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))) (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))) #s(literal 2 binary32))))
	96.0%	(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
	97.3%	(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))))) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))))) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
	55.3%	(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
▶	84.5%	(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))))

Compiler

Compiled 1 588 to 996 computations (37.3% saved)

simplify124.0ms (0.9%)

Memory

-6.7MiB live, 111.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
✓	cost-diff	0	(.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) cosTheta)
✓	cost-diff	3168	(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
✓	cost-diff	0	(pow.f32 cosTheta #s(literal 2 binary32))
✓	cost-diff	32	(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
✓	cost-diff	32	(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
✓	cost-diff	32	(/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta))
✓	cost-diff	0	(pow.f32 cosTheta #s(literal 2 binary32))
✓	cost-diff	32	(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
✓	cost-diff	32	(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
✓	cost-diff	32	(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) c)
✓	cost-diff	0	(pow.f32 cosTheta #s(literal 2 binary32))
✓	cost-diff	32	(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
✓	cost-diff	32	(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
✓	cost-diff	32	(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)

Rules

2 608×	`fma-define`
1 238×	`neg-mul-1`
1 078×	`neg-sub0`
744×	`associate-/r*`
712×	`fmm-def`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	52	1924
1	120	1791
2	227	1763
3	484	1751
4	983	1751
5	1692	1745
6	2670	1741
7	3873	1741
8	6354	1741

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))
(+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))
c
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(*.f32 #s(literal -2 binary32) cosTheta)
#s(literal -2 binary32)
(PI.f32)
(/.f32 #s(literal 1 binary32) c)
#s(literal 1 binary32)
c
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))
(*.f32 #s(literal 2 binary32) cosTheta)
(PI.f32)
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
#s(literal 1 binary32)
(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
c
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
(/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta))
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(*.f32 c cosTheta)
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(*.f32 #s(literal -2 binary32) cosTheta)
#s(literal -2 binary32)
(PI.f32)
(/.f32 #s(literal 1 binary32) c)
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
(neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))))
(log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
c
(/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(+.f32 #s(literal 1 binary32) cosTheta)
#s(literal 1 binary32)
cosTheta
(.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c))
(+.f32 c (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))
(+.f32 c (.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) c)
(+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
c
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
(.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))))
(*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 #s(literal -2 binary32) cosTheta)
(*.f32 cosTheta #s(literal -2 binary32))
#s(literal -2 binary32)
(PI.f32)
(/.f32 #s(literal 1 binary32) c)
#s(literal 1 binary32)
c
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))
(+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))))
(*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) cosTheta)
(*.f32 cosTheta #s(literal 2 binary32))
(PI.f32)
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
#s(literal 1 binary32)
(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
(+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c))
(+.f32 c (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
c
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (.f32 c (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(fma.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) c) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))
(fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 #s(literal 1 binary32) c))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (/.f32 #s(literal 1 binary32) c))
(+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (.f32 c (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) c) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)))
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)))
(*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (.f32 c (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 c cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta))
(/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(*.f32 c cosTheta)
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 #s(literal -2 binary32) cosTheta)
(*.f32 cosTheta #s(literal -2 binary32))
#s(literal -2 binary32)
(PI.f32)
(/.f32 #s(literal 1 binary32) c)
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) cosTheta) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))))
(neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))))
(neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))))
(neg.f32 (log1p.f32 (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(neg.f32 (log1p.f32 (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) cosTheta) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))))
(neg.f32 (log1p.f32 (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))))
(log1p.f32 (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(log1p.f32 (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) cosTheta) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))
(log1p.f32 (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(+.f32 c (/.f32 (sqrt.f32 (+.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(+.f32 c (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))
(+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) cosTheta) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
c
(/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))
(/.f32 (sqrt.f32 (+.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) cosTheta) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(sqrt.f32 (+.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)))
(+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(+.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) cosTheta)
#s(literal 1 binary32)
cosTheta
(.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)

localize234.0ms (1.6%)

Memory

-13.9MiB live, 467.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
✓	accuracy	98.9%	(/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))
✓	accuracy	98.8%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
✓	accuracy	90.6%	(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
✓	accuracy	99.1%	(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
✓	accuracy	97.5%	(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
✓	accuracy	52.2%	(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
✓	accuracy	99.8%	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
✓	accuracy	98.2%	(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
✓	accuracy	97.5%	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) c)
✓	accuracy	99.8%	(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
✓	accuracy	98.2%	(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
✓	accuracy	97.5%	(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))

Samples

130.0ms

256×

valid

Compiler

Compiled 564 to 48 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 50.0ms (50.8% of total)

ival-div: 14.0ms (14.2% of total)

ival-add: 11.0ms (11.2% of total)

ival-exp: 7.0ms (7.1% of total)

ival-sqrt: 7.0ms (7.1% of total)

ival-log1p: 3.0ms (3% of total)

ival-pow2: 3.0ms (3% of total)

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

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

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series156.0ms (1.1%)

Memory

23.9MiB live, 304.5MiB allocated

Counts

24 → 250

Calls

Call 1

Inputs
#<alt (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (pow.f32 cosTheta #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta))>
#<alt (exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))))>
#<alt (+.f32 #s(literal 1 binary32) cosTheta)>
#<alt (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32))))>
#<alt (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))>
#<alt (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))>
#<alt (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))>
#<alt (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))>
#<alt (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)>

Outputs
#<alt (/.f32 #s(literal 1 binary32) cosTheta)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))) cosTheta)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))) cosTheta)>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)>
#<alt (/.f32 (+.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)>
#<alt (/.f32 (+.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)>
#<alt (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))))>
#<alt (+.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 c (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))))>
#<alt (+.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))) (.f32 c (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))) (/.f32 (.f32 c (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))))>
#<alt (+.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))) (.f32 c (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))) (.f32 c (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 c (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)))) (/.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))))))>
#<alt (exp.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) c)))))>
#<alt (+.f32 (exp.f32 (neg.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) c))))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 (exp.f32 (neg.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) c))))) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)))>
#<alt (+.f32 (exp.f32 (neg.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) c))))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (exp.f32 (neg.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) c))))) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) (/.f32 (.f32 (exp.f32 (neg.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) c))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))) (pow.f32 c #s(literal 2 binary32)))))>
#<alt (+.f32 (exp.f32 (neg.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) c))))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (exp.f32 (neg.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) c))))) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) (+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) c))))) (+.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))) (+.f32 (.f32 #s(literal -1/3 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))) (.f32 #s(literal -1/6 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)))))) (pow.f32 c #s(literal 3 binary32))) (/.f32 (.f32 (exp.f32 (neg.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) c))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))) (pow.f32 c #s(literal 2 binary32))))))>
#<alt (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) c))))))>
#<alt (+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) c)))))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) c)))))) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)))>
#<alt (+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) c)))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) c)))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))) c)) (.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) c)))))) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))) c)))>
#<alt (+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) c)))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) c)))))) (+.f32 (.f32 #s(literal 1/6 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))) (+.f32 (.f32 #s(literal 1/3 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))) (.f32 #s(literal 1/2 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)))))) c)) (.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) c)))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)))) c)) (.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) c)))))) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))) c)))>
#<alt (exp.f32 (neg.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1 binary32) (log.f32 cosTheta)))))>
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#<alt (+.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))))) (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))) (+.f32 (.f32 #s(literal -1/8 binary32) (/.f32 cosTheta (.f32 (PI.f32) (.f32 (pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32))))))) (.f32 #s(literal -1/24 binary32) (-.f32 (.f32 #s(literal 3 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))))) (.f32 #s(literal -3 binary32) (/.f32 cosTheta (.f32 (PI.f32) (.f32 (pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32))))))))))) (pow.f32 cosTheta #s(literal 4 binary32)))))>
#<alt (+.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) 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#<alt #s(literal 1 binary32)>
#<alt cosTheta>
#<alt (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))>
#<alt (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))>
#<alt (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))>
#<alt cosTheta>
#<alt (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))>
#<alt (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))>
#<alt (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))>
#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))))))))>
#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))))))))>
#<alt (.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))>
#<alt (.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))>
#<alt (.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))>
#<alt (.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))>
#<alt (.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))>
#<alt (.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))>
#<alt (.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))>
#<alt (.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))>
#<alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))>
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#<alt (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
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#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (.f32 #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))>
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#<alt (+.f32 (.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (.f32 c (-.f32 (.f32 c (+.f32 (.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
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#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
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#<alt (/.f32 #s(literal 1 binary32) (PI.f32))>
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#<alt (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))>
#<alt (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))>
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#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))))))>
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#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))>
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#<alt (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (.f32 #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))>
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#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 cosTheta (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 2 binary32)))))))>
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#<alt (/.f32 #s(literal 1 binary32) (PI.f32))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))>
#<alt (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt c>
#<alt c>
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#<alt (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 c (.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 c (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 cosTheta (+.f32 (.f32 c (.f32 cosTheta (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (.f32 c (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))) cosTheta)>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (/.f32 #s(literal 1 binary32) c))))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))))>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))))) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (/.f32 #s(literal 1 binary32) c))))))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (.f32 #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))))) (/.f32 #s(literal 1 binary32) c)))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (.f32 c (-.f32 (.f32 c (+.f32 (.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))) (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 1 binary32))) c))) c)) #s(literal 1 binary32)) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))) (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))) (pow.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 1 binary32)) #s(literal 2 binary32))) c)) c))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
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#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (.f32 (pow.f32 c #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (.f32 c (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))) (.f32 c (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))))))>
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#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (pow.f32 c #s(literal 2 binary32)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))))) (/.f32 #s(literal 1 binary32) c))))))>
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#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32)))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32)))))) (+.f32 (.f32 #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))>
#<alt (*.f32 #s(literal 2 binary32) cosTheta)>
#<alt (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))>
#<alt (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))>
#<alt (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))>
#<alt (*.f32 #s(literal 2 binary32) cosTheta)>
#<alt (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))>
#<alt (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))>
#<alt (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))>

Calls

90 calls:

Time	Variable		Point	Expression
47.0ms	cosTheta	@	-inf	(exp (neg (log (+ 1 (+ c (/ (sqrt (+ (+ 1 cosTheta) cosTheta)) (* (exp (pow cosTheta 2)) (* cosTheta (sqrt (PI))))))))))
8.0ms	cosTheta	@	inf	(exp (neg (log (+ 1 (+ c (/ (sqrt (+ (+ 1 cosTheta) cosTheta)) (* (exp (pow cosTheta 2)) (* cosTheta (sqrt (PI))))))))))
6.0ms	cosTheta	@	-inf	(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
6.0ms	cosTheta	@	-inf	(/ 1 (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))))
5.0ms	cosTheta	@	0	(/ 1 (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))))

rewrite189.0ms (1.3%)

Memory

-2.3MiB live, 312.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

435×	`log1p-expm1-u`
435×	`expm1-log1p-u`
426×	`add-exp-log`
425×	`add-cube-cbrt`
423×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	998
1	1028	937

Stop Event

1×	node limit

Counts

24 → 444

Calls

Call 1

Inputs
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
(+.f32 #s(literal 1 binary32) cosTheta)
(.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))
(+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)

Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 1 binary32))
(*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32))
(pow.f32 (/.f32 cosTheta (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(exp.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta)))
(exp.f32 (*.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (cbrt.f32 (pow.f32 cosTheta #s(literal 4 binary32)))) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (sqrt.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(log.f32 (exp.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(cbrt.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(+.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (log.f32 (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (exp.f32 (log1p.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(log.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (log.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
(*.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 (cbrt.f32 (pow.f32 cosTheta #s(literal 4 binary32))) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(log.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (log.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))
(*.f32 (cbrt.f32 (pow.f32 c #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 c)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) c)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 c) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 c) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 c) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 c) #s(literal -1 binary32)))
(pow.f32 c #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 c)) #s(literal 3 binary32))
(pow.f32 (pow.f32 c #s(literal -3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))
(pow.f32 (/.f32 c #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) c)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) c))))
(cbrt.f32 (pow.f32 c #s(literal -3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) c)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) c)))
(exp.f32 (neg.f32 (log.f32 c)))
(exp.f32 (*.f32 (log.f32 c) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 c)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)))) #s(literal 1 binary32))
(.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)))
(.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta c)))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta c))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c))))
(.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta c))) (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c))))
(pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 cosTheta c) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal -1 binary32))
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(pow.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))))))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 c #s(literal -3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c))))))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c))))))
(exp.f32 (-.f32 (neg.f32 (log.f32 c)) (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))))
(exp.f32 (.f32 (+.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) (log.f32 c)) #s(literal -1 binary32)))
(exp.f32 (.f32 (-.f32 (neg.f32 (log.f32 c)) (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32)))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c))) #s(literal 1 binary32))
(/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c))
(pow.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c)))))
(cbrt.f32 (pow.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c))))
(log1p.f32 (expm1.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c))))
(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (*.f32 cosTheta c)))))
(exp.f32 (.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (.f32 cosTheta c)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(exp.f32 (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) #s(literal 3/2 binary32)) (pow.f32 (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(exp.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(exp.f32 (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))))
(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (+.f32 cosTheta #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) cosTheta))))
(/.f32 (-.f32 (pow.f32 (+.f32 cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (-.f32 (+.f32 cosTheta #s(literal 1 binary32)) cosTheta))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log.f32 (exp.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (log1p.f32 (*.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (.f32 (log1p.f32 (.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) cosTheta (+.f32 cosTheta #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 cosTheta #s(literal 1 binary32)) cosTheta)
(fma.f32 (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (cbrt.f32 cosTheta) (+.f32 cosTheta #s(literal 1 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 cosTheta #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 cosTheta #s(literal 1 binary32))) cosTheta)
(fma.f32 (sqrt.f32 (+.f32 cosTheta #s(literal 1 binary32))) (sqrt.f32 (+.f32 cosTheta #s(literal 1 binary32))) cosTheta)
(fma.f32 (sqrt.f32 cosTheta) (sqrt.f32 cosTheta) (+.f32 cosTheta #s(literal 1 binary32)))

simplify878.0ms (6.2%)

Memory

0.7MiB live, 876.3MiB allocated

Algorithm

1×	egg-herbie

Rules

1 290×	`*-commutative`
628×	`+-commutative`
392×	`associate-r`
362×	`fma-define`
350×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1959	65481
1	5656	62848

Stop Event

1×	node limit

Counts

694 → 881

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))) cosTheta)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 c cosTheta))
(/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (+.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (+.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))))
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(sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))))))) (.f32 #s(literal 1/48 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 3 binary32)))))))))) (pow.f32 cosTheta #s(literal 6 binary32))))))
#s(literal 1 binary32)
cosTheta
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
cosTheta
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))))))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))))))))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
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(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
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(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))
(*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))
(.f32 cosTheta (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))
(.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))
(.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))))
(.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))) cosTheta)
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))
(+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))
(+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))
(+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))
(.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))
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(pow.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c)))))
(cbrt.f32 (pow.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c))))
(log1p.f32 (expm1.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (.f32 cosTheta c))))
(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (*.f32 cosTheta c)))))
(exp.f32 (.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (.f32 cosTheta c)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(exp.f32 (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) #s(literal 3/2 binary32)) (pow.f32 (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(exp.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(exp.f32 (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))))
(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (+.f32 cosTheta #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) cosTheta))))
(/.f32 (-.f32 (pow.f32 (+.f32 cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (-.f32 (+.f32 cosTheta #s(literal 1 binary32)) cosTheta))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log.f32 (exp.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (log1p.f32 (*.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (.f32 (log1p.f32 (.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) cosTheta (+.f32 cosTheta #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 cosTheta #s(literal 1 binary32)) cosTheta)
(fma.f32 (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (cbrt.f32 cosTheta) (+.f32 cosTheta #s(literal 1 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 cosTheta #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 cosTheta #s(literal 1 binary32))) cosTheta)
(fma.f32 (sqrt.f32 (+.f32 cosTheta #s(literal 1 binary32))) (sqrt.f32 (+.f32 cosTheta #s(literal 1 binary32))) cosTheta)
(fma.f32 (sqrt.f32 cosTheta) (sqrt.f32 cosTheta) (+.f32 cosTheta #s(literal 1 binary32)))

Outputs
(/.f32 #s(literal 1 binary32) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal -1 binary32)))) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1/2 binary32) #s(literal -1 binary32)))) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal -1 binary32)))) cosTheta)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1/2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 c cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))
(/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta)
(/.f32 (+.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) (/.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (+.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) (/.f32 #s(literal 1/2 binary32) c)) (neg.f32 (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) (/.f32 #s(literal 1/2 binary32) c)) (/.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))))
(exp.f32 (neg.f32 (log1p.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
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#s(literal 1 binary32)
cosTheta
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(+.f32 #s(literal 1 binary32) cosTheta)
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(+.f32 #s(literal 1 binary32) cosTheta)
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(+.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(+.f32 #s(literal 1 binary32) cosTheta)
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(+.f32 #s(literal 1 binary32) cosTheta)
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(+.f32 #s(literal 1 binary32) cosTheta)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))
(.f32 cosTheta (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))))))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 (PI.f32)))))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))))))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))))))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1/6 binary32)))))))))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))
(.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
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(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
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(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(pow.f32 (/.f32 (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(cbrt.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) #s(literal 3/2 binary32)) (pow.f32 (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) #s(literal 3/2 binary32)) (pow.f32 (.f32 cosTheta (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(exp.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32))))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(/.f32 (exp.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(exp.f32 (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32)))
(/.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32))))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(/.f32 (exp.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (+.f32 cosTheta #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) cosTheta))))
(/.f32 (+.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32))) (-.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 (+.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (*.f32 cosTheta (-.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 (-.f32 (pow.f32 (+.f32 cosTheta #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (-.f32 (+.f32 cosTheta #s(literal 1 binary32)) cosTheta))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))
(fabs.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(cbrt.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3/2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(exp.f32 (log1p.f32 (*.f32 cosTheta #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(exp.f32 (.f32 (log1p.f32 (.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(fma.f32 #s(literal 1 binary32) cosTheta (+.f32 cosTheta #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) cosTheta (+.f32 #s(literal 1 binary32) cosTheta))
(+.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))
(fma.f32 #s(literal 1 binary32) (+.f32 cosTheta #s(literal 1 binary32)) cosTheta)
(+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(fma.f32 (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (cbrt.f32 cosTheta) (+.f32 cosTheta #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) cosTheta (+.f32 #s(literal 1 binary32) cosTheta))
(+.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 cosTheta #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 cosTheta #s(literal 1 binary32))) cosTheta)
(+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(fma.f32 (sqrt.f32 (+.f32 cosTheta #s(literal 1 binary32))) (sqrt.f32 (+.f32 cosTheta #s(literal 1 binary32))) cosTheta)
(+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(fma.f32 (sqrt.f32 cosTheta) (sqrt.f32 cosTheta) (+.f32 cosTheta #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) cosTheta (+.f32 #s(literal 1 binary32) cosTheta))
(+.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))

eval315.0ms (2.2%)

Memory: 21.2MiB live, 288.2MiB allocated
Compiler: Compiled 56 213 to 7 265 computations (87.1% saved)

prune338.0ms (2.4%)

Memory

-10.6MiB live, 397.8MiB allocated

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	1 157	25	1 182
Fresh	10	14	24
Picked	4	1	5
Done	0	0	0
Total	1 171	40	1 211

Accuracy

100.0%

Counts

1 211 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	90.6%	(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))))) #s(literal 3 binary32))
	96.6%	(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 2 binary32))
	91.4%	(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))))) #s(literal 2 binary32))
	95.1%	(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))) #s(literal -2 binary32))
	51.6%	(/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c))))
	91.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	91.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	91.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	44.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	45.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	92.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
	97.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
▶	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
	95.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
	96.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
▶	97.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	96.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	97.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
	96.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	89.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (exp.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	51.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
▶	10.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
	49.3%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
▶	49.2%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
	46.4%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
	51.6%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
	49.1%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
	46.0%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
	27.6%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (exp.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (.f32 cosTheta c)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
✓	5.0%	(/.f32 #s(literal 1 binary32) c)
	90.6%	(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))))))
	95.9%	(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
	55.3%	(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
	84.5%	(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))))

Compiler

Compiled 1 891 to 1 286 computations (32% saved)

simplify109.0ms (0.8%)

Memory

5.2MiB live, 81.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f32 #s(literal 1 binary32) cosTheta)
	cost-diff	0	(+.f32 #s(literal 1 binary32) c)
✓	cost-diff	160	(.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
✓	cost-diff	3296	(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))
	cost-diff	0	(pow.f32 cosTheta #s(literal 2 binary32))
	cost-diff	0	(exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
✓	cost-diff	32	(/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
✓	cost-diff	32	(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
✓	cost-diff	96	(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c))))
✓	cost-diff	96	(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta)
✓	cost-diff	96	(+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c))
✓	cost-diff	96	(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))
	cost-diff	0	(+.f32 #s(literal 1 binary32) c)
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
	cost-diff	0	(pow.f32 cosTheta #s(literal 2 binary32))
	cost-diff	32	(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
	cost-diff	32	(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
	cost-diff	32	(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)

Rules

1 058×	`fma-define`
988×	`div-sub`
844×	`distribute-lft-in`
672×	`distribute-rgt-in`
630×	`fmm-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	65	2065
1	157	1997
2	327	1915
3	751	1688
4	1474	1643
5	3245	1640
6	6778	1640

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))))
(+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))
c
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))
(*.f32 cosTheta (PI.f32))
(PI.f32)
(/.f32 #s(literal 2 binary32) (PI.f32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) c)
c
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
#s(literal 1 binary32)
(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c))))
c
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))
(+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c))
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(PI.f32)
(+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))
(/.f32 #s(literal 1 binary32) c)
(neg.f32 (/.f32 cosTheta c))
(/.f32 cosTheta c)
cosTheta
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))
(*.f32 #s(literal 2 binary32) cosTheta)
(PI.f32)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))
(cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(+.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
#s(literal 3 binary32)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))))
(+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))
(+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))
(+.f32 c (.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))
(fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) c)
(+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
c
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) cosTheta))
(/.f32 (sqrt.f32 (.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))
(sqrt.f32 (.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))
(*.f32 cosTheta (PI.f32))
(PI.f32)
(/.f32 #s(literal 2 binary32) (PI.f32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) c)
c
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) cosTheta)))))
(/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) c)))
#s(literal 1 binary32)
(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) cosTheta))))
(*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) c))
c
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) cosTheta)))
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))
(+.f32 (/.f32 #s(literal 1 binary32) c) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)))
(+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))
(+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c))
(+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) cosTheta))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))
(+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))
(+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta)
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) cosTheta)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta))
(/.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
(*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)))
(*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (-.f32 #s(literal 1 binary32) cosTheta))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(PI.f32)
(+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))
(-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))
(*.f32 (/.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) cosTheta))
(/.f32 #s(literal 1 binary32) c)
(neg.f32 (/.f32 cosTheta c))
(/.f32 cosTheta (neg.f32 c))
(/.f32 cosTheta c)
cosTheta
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))
(+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) cosTheta))
(/.f32 (sqrt.f32 (.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
(sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))
(sqrt.f32 (.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
(.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) cosTheta)
(*.f32 cosTheta #s(literal 2 binary32))
(PI.f32)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) c)))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) c))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))
(.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))
(cbrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)))
(+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
#s(literal 3 binary32)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 cosTheta)

localize201.0ms (1.4%)

Memory

18.2MiB live, 444.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	accuracy	98.8%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
✓	accuracy	97.8%	(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))
✓	accuracy	99.8%	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
✓	accuracy	98.2%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
✓	accuracy	97.5%	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
✓	accuracy	98.2%	(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c))))
✓	accuracy	96.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	accuracy	52.3%	(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c))))
	accuracy	100.0%	(+.f32 #s(literal 1 binary32) c)
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
✓	accuracy	98.9%	(.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))
✓	accuracy	98.2%	(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))
✓	accuracy	97.5%	(sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))

Samples

115.0ms

256×

valid

Compiler

Compiled 575 to 61 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-div: 29.0ms (30.8% of total)

ival-add: 16.0ms (17% of total)

ival-mult: 15.0ms (16% of total)

ival-sqrt: 14.0ms (14.9% of total)

ival-exp: 7.0ms (7.4% of total)

ival-pow2: 3.0ms (3.2% of total)

ival-cbrt: 2.0ms (2.1% of total)

ival-sub: 2.0ms (2.1% of total)

ival-neg: 2.0ms (2.1% of total)

ival-pow: 2.0ms (2.1% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series128.0ms (0.9%)

Memory

-18.9MiB live, 224.4MiB allocated

Counts

22 → 340

Calls

Call 1

Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))>
#<alt (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c))>
#<alt (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta)>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c))))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
#<alt (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))>
#<alt (.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))>
#<alt (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))>
#<alt (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))>
#<alt (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c))))>
#<alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))>
#<alt (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))>

Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) c))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 c (-.f32 c #s(literal 1 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 c (-.f32 (.f32 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) c))) #s(literal 1 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32))))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c)))>
#<alt (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)>
#<alt (/.f32 (+.f32 (.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)>
#<alt (/.f32 (+.f32 (.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c))>
#<alt (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)>
#<alt (/.f32 (+.f32 (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)>
#<alt (/.f32 (+.f32 (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))>
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#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))) cosTheta)>
#<alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))))))>
#<alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))))>
#<alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))>
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#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))>
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#<alt (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))))>
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#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))))>
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#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32))))))))>
#<alt (/.f32 #s(literal 1 binary32) (PI.f32))>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 cosTheta (.f32 (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))))) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 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#<alt (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt c>
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#<alt (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt c>
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#<alt (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 c (.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 c (.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 c (.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))) cosTheta)>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (+.f32 (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (+.f32 (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (+.f32 (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (+.f32 (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (+.f32 (.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (+.f32 (.f32 c (-.f32 (.f32 c (+.f32 (.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32))) c))) c)) #s(literal 1 binary32)) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (pow.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) #s(literal 2 binary32))) c)) c))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 c (.f32 cosTheta (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))))))>
#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 (.f32 (pow.f32 c #s(literal 2 binary32)) (.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 c (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))))))>
#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (.f32 cosTheta (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))))) (.f32 #s(literal -1 binary32) (.f32 (.f32 (pow.f32 c #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))))) (.f32 c (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))))))>
#<alt (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))))))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32))))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 4 binary32)) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 4 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))>
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#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32))))))))>
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#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
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#<alt (.f32 cosTheta (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
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#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32)))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))>
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#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))>
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#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
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#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
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#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
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#<alt (/.f32 #s(literal 1 binary32) (PI.f32))>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
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#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
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#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
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#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))))))))>
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#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 cosTheta (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))))) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 cosTheta (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))) #s(literal 3 binary32)))))))))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))))) (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))) #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))) #s(literal 3 binary32))))))) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (pow.f32 (cbrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))) #s(literal 2 binary32)))))))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)>
#<alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal 2 binary32))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -2 binary32))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (.f32 #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))))))>

Calls

87 calls:

Time	Variable		Point	Expression
14.0ms	c	@	-inf	(+ 1 (+ (/ (* (sqrt (/ 1 (PI))) (+ (/ 1 c) (neg (/ cosTheta c)))) cosTheta) (/ 1 c)))
11.0ms	cosTheta	@	-inf	(/ 1 (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (* cosTheta (- (/ 1 (* cosTheta (PI))) (/ 2 (PI)))))))))
6.0ms	cosTheta	@	0	(pow (cbrt (/ (sqrt (+ (+ 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI))))) 3)
6.0ms	cosTheta	@	-inf	(/ 1 (+ (+ 1 c) (* (pow (cbrt (/ (sqrt (+ (+ 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI))))) 3) (exp (* (neg cosTheta) cosTheta)))))
5.0ms	cosTheta	@	inf	(/ 1 (+ (+ 1 c) (* (pow (cbrt (/ (sqrt (+ (+ 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI))))) 3) (exp (* (neg cosTheta) cosTheta)))))

rewrite211.0ms (1.5%)

Memory

3.6MiB live, 238.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log1p-expm1-u`
579×	`expm1-log1p-u`
566×	`add-exp-log`
548×	`pow1`
422×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	1185
1	1361	1117

Stop Event

1×	node limit

Counts

22 → 427

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))
(+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c))
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c))))
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))

Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (neg.f32 (log1p.f32 c)))
(exp.f32 (*.f32 (log1p.f32 c) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 c)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(exp.f32 (log1p.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(exp.f32 (*.f32 (log1p.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) (sqrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(*.f32 (sqrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) (sqrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(/.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) c (.f32 cosTheta #s(literal 1 binary32))) (*.f32 cosTheta c))
(/.f32 (+.f32 (pow.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta)) #s(literal 3 binary32)) (pow.f32 c #s(literal -3 binary32))) (+.f32 (pow.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta)) #s(literal 2 binary32)) (-.f32 (pow.f32 c #s(literal -2 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta)) #s(literal 2 binary32)) (pow.f32 c #s(literal -2 binary32))) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (neg.f32 (/.f32 #s(literal 1 binary32) c))))
(pow.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(cbrt.f32 (pow.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(log1p.f32 (expm1.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(exp.f32 (log.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta)))
(fma.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta)) (/.f32 #s(literal 1 binary32) c))
(fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))
(fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta))) #s(literal 2 binary32)) (cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta))) (/.f32 #s(literal 1 binary32) c))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #s(literal 1 binary32) c)) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta)))
(fma.f32 (sqrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta))) (sqrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta))) (/.f32 #s(literal 1 binary32) c))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) c)) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta)))
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta))
(.f32 (pow.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta))))
(.f32 (sqrt.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta))) (sqrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta))))
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(pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (log.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 1 binary32)))

simplify550.0ms (3.9%)

Memory

38.6MiB live, 822.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 888×	`times-frac`
1 222×	`*-commutative`
542×	`+-commutative`
498×	`sub-neg`
384×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1968	64864
1	5364	63486

Stop Event

1×	node limit

Counts

767 → 990

Calls

Call 1

Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) c))
(+.f32 #s(literal 1 binary32) (*.f32 c (-.f32 c #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 c (-.f32 (.f32 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) c))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32))))) c)
(/.f32 #s(literal 1 binary32) c)
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c))
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/.f32 (+.f32 (.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/.f32 (+.f32 (.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c))
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c))
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c))
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/.f32 (+.f32 (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/.f32 (+.f32 (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
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#s(literal 1 binary32)
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c
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c
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(exp.f32 (.f32 (-.f32 (log1p.f32 (.f32 #s(literal -2 binary32) cosTheta)) (log.f32 (PI.f32))) #s(literal 1 binary32)))
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(fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (neg.f32 (/.f32 (*.f32 cosTheta #s(literal 2 binary32)) (PI.f32))))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (/.f32 (*.f32 cosTheta #s(literal 2 binary32)) (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(.f32 (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(exp.f32 (.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal -1 binary32)))
(exp.f32 (.f32 (neg.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) #s(literal 3 binary32)) (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 3 binary32)))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (log.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 1 binary32)))

Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) c))
(+.f32 #s(literal 1 binary32) (neg.f32 c))
(-.f32 #s(literal 1 binary32) c)
(+.f32 #s(literal 1 binary32) (*.f32 c (-.f32 c #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 c #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 c (-.f32 (.f32 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) c))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 c (fma.f32 c (+.f32 #s(literal 1 binary32) (neg.f32 c)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 c (fma.f32 c (-.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) c)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) c)) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)) c)
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) c))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) c))) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32)))))) c)
(/.f32 #s(literal 1 binary32) c)
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32)) c))
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32)) c) #s(literal -1 binary32)) c))
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32)) c) #s(literal -1 binary32)) c) #s(literal -1 binary32)) c))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) c)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c)))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal -1 binary32)) c)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal -1 binary32)) c))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) c)))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal -1 binary32)) c)))
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c
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(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))
(.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) #s(literal 3 binary32)) (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) #s(literal 3 binary32)))
(.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 3 binary32)))
(pow.f32 (sqrt.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 6 binary32))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(pow.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(pow.f32 (/.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))))) #s(literal -1 binary32))
(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(exp.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 #s(literal 2 binary32) cosTheta))) (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(exp.f32 (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 cosTheta #s(literal 2 binary32)))) (log.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 1 binary32)))
(exp.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 #s(literal 2 binary32) cosTheta))) (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32))))

eval631.0ms (4.4%)

Memory: -129.7MiB live, 314.2MiB allocated
Compiler: Compiled 49 865 to 6 825 computations (86.3% saved)

prune283.0ms (2%)

Memory

-6.1MiB live, 478.4MiB allocated

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	1 202	30	1 232
Fresh	16	18	34
Picked	4	1	5
Done	1	0	1
Total	1 223	49	1 272

Accuracy

100.0%

Counts

1 272 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	96.9%	(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) #s(literal 1 binary32))) #s(literal -2 binary32))
	48.8%	(pow.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))) #s(literal 2 binary32))
	96.6%	(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 2 binary32))
	91.4%	(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))))) #s(literal 2 binary32))
	95.1%	(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))) #s(literal -2 binary32))
	96.3%	(pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 3 binary32))
	97.2%	(pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) c)))) #s(literal 3 binary32))
	10.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
	91.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	44.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
	97.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	97.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
▶	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))))))
	97.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (*.f32 (sqrt.f32 cosTheta) (sqrt.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
	95.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
	95.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
▶	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
	96.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	97.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (log.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
	97.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	96.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
	89.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (exp.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	51.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))) cosTheta)))))
✓	10.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
▶	49.3%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
	10.5%	(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
	49.3%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 cosTheta (neg.f32 c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
▶	46.4%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
	49.0%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)))))))
	51.6%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
	49.1%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
	46.2%	(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
	46.5%	(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
	10.6%	(-.f32 #s(literal 1 binary32) c)
	48.9%	(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) c))
	96.1%	(.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))))
	48.9%	(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (/.f32 #s(literal 1 binary32) c)))))
	95.9%	(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
	92.2%	(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
	93.0%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
	84.5%	(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))))
▶	10.5%	#s(literal 1 binary32)

Compiler

Compiled 2 093 to 1 427 computations (31.8% saved)

simplify101.0ms (0.7%)

Memory

-10.8MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	32	(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
	cost-diff	32	(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
	cost-diff	32	(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
✓	cost-diff	64	(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta)))
✓	cost-diff	128	(fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c))
✓	cost-diff	128	(+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))
✓	cost-diff	320	(.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c))))
✓	cost-diff	320	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
✓	cost-diff	0	(+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))
✓	cost-diff	192	(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))))
✓	cost-diff	192	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
✓	cost-diff	0	(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))
	cost-diff	0	(pow.f32 cosTheta #s(literal 2 binary32))
✓	cost-diff	0	(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
✓	cost-diff	0	(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))

Rules

1 216×	`fmm-def`
1 136×	`fma-define`
1 120×	`distribute-lft-neg-out`
810×	`distribute-lft-in`
594×	`distribute-rgt-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	58	1987
1	122	1963
2	260	1901
3	651	1766
4	1408	1717
5	3426	1660
6	5512	1660

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta))))
(+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))
c
(.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(/.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)
(sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))
(/.f32 #s(literal 1 binary32) cosTheta)
(PI.f32)
(/.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
#s(literal 1 binary32)
(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))))
c
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))
(+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(PI.f32)
(*.f32 cosTheta c)
cosTheta
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
#s(literal 1 binary32)
(.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c))))
c
(+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))
(fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)))
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
(PI.f32)
#s(literal -1/2 binary32)
(-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))
(/.f32 #s(literal 1 binary32) c)
(/.f32 cosTheta c)
cosTheta
(/.f32 #s(literal 1 binary32) cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta)))))
(+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))))
c
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta)))
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))
(sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32))))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) cosTheta))
(*.f32 (PI.f32) cosTheta)
(PI.f32)
(/.f32 #s(literal 2 binary32) (PI.f32))
(sqrt.f32 cosTheta)

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta) (/.f32 #s(literal -2 binary32) (PI.f32))))) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta) (/.f32 #s(literal -2 binary32) (PI.f32))))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta))))
(+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta))))
(+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta) (/.f32 #s(literal -2 binary32) (PI.f32))))) cosTheta) c))
(+.f32 (/.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta) (/.f32 #s(literal -2 binary32) (PI.f32))))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))
(+.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))
(+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta) (/.f32 #s(literal -2 binary32) (PI.f32))))) cosTheta) c)
(+.f32 c (/.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta) (/.f32 #s(literal -2 binary32) (PI.f32))))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(+.f32 c (/.f32 (sqrt.f32 (fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
c
(.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta))
(.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta))
(/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (.f32 cosTheta (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta) (/.f32 #s(literal -2 binary32) (PI.f32)))))) cosTheta)
(/.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta) (/.f32 #s(literal -2 binary32) (PI.f32))))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 (sqrt.f32 (fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(/.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)
(/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)
(/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta) (/.f32 #s(literal -2 binary32) (PI.f32))))) cosTheta)
(/.f32 (sqrt.f32 (fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))
(sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))
(sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta) (/.f32 #s(literal -2 binary32) (PI.f32)))))
(sqrt.f32 (fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 cosTheta (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta) (/.f32 #s(literal -2 binary32) (PI.f32))))
(fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))
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(sqrt.f32 cosTheta)

localize430.0ms (3%)

Memory

3.1MiB live, 358.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(*.f32 (PI.f32) cosTheta)
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))))))
✓	accuracy	98.5%	(.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))
✓	accuracy	98.2%	(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta)))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
✓	accuracy	98.2%	(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)))
✓	accuracy	96.9%	(pow.f32 (PI.f32) #s(literal -1/2 binary32))
✓	accuracy	52.3%	(.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c))))
✓	accuracy	99.1%	(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
	accuracy	96.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	accuracy	52.3%	(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))))
✓	accuracy	98.9%	(*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))
✓	accuracy	98.7%	(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))
✓	accuracy	98.1%	(/.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)
✓	accuracy	97.5%	(sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))

Samples

243.0ms

256×

valid

Compiler

Compiled 546 to 54 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-div: 95.0ms (66.7% of total)

ival-mult: 15.0ms (10.5% of total)

ival-add: 8.0ms (5.6% of total)

ival-sqrt: 6.0ms (4.2% of total)

ival-pow: 5.0ms (3.5% of total)

ival-exp: 4.0ms (2.8% of total)

ival-sub: 3.0ms (2.1% of total)

ival-pow2: 3.0ms (2.1% of total)

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

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series57.0ms (0.4%)

Memory

-10.3MiB live, 111.2MiB allocated

Counts

22 → 376

Calls

Call 1

Inputs
#<alt (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))>
#<alt (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))>
#<alt (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))>
#<alt (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))>
#<alt (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c))>
#<alt (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta)))>
#<alt (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))>
#<alt (/.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))>
#<alt (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))>
#<alt (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))>
#<alt (pow.f32 (PI.f32) #s(literal -1/2 binary32))>
#<alt (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)))>
#<alt (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))))))>
#<alt (*.f32 (PI.f32) cosTheta)>

Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)>
#<alt (/.f32 #s(literal -2 binary32) (PI.f32))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 #s(literal -2 binary32) (PI.f32))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (+.f32 (.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (+.f32 (.f32 c (-.f32 (.f32 c (+.f32 (.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32))) c))) c)) #s(literal 1 binary32)) c))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (pow.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) #s(literal 2 binary32))) c)) c))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 c (.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))))>
#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 (.f32 (pow.f32 c #s(literal 2 binary32)) (.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 c (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))))>
#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (.f32 cosTheta (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))))) (.f32 #s(literal -1 binary32) (.f32 (.f32 (pow.f32 c #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))))) (.f32 c (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32))))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 4 binary32)) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 4 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))>
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#<alt c>
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#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
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#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
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#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))))))>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) c)) #s(literal 1 binary32)) c))>
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#<alt (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (.f32 (PI.f32) (+.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
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#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 cosTheta (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 cosTheta (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))))) (+.f32 (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (+.f32 (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32))))))) (+.f32 (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 cosTheta (.f32 (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))))) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 cosTheta (.f32 (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 3 binary32))))))))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))))))) (+.f32 (.f32 #s(literal -1/16 binary32) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 3 binary32)))))) (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))))) (+.f32 (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (.f32 (PI.f32) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 3 binary32))))))) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))))))>
#<alt (*.f32 cosTheta (PI.f32))>
#<alt (*.f32 cosTheta (PI.f32))>
#<alt (*.f32 cosTheta (PI.f32))>
#<alt (*.f32 cosTheta (PI.f32))>
#<alt (*.f32 cosTheta (PI.f32))>
#<alt (*.f32 cosTheta (PI.f32))>
#<alt (*.f32 cosTheta (PI.f32))>
#<alt (*.f32 cosTheta (PI.f32))>
#<alt (*.f32 cosTheta (PI.f32))>
#<alt (*.f32 cosTheta (PI.f32))>
#<alt (*.f32 cosTheta (PI.f32))>
#<alt (*.f32 cosTheta (PI.f32))>

Calls

96 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(+ (/ (sqrt (/ 1 (PI))) (* cosTheta c)) (/ 1 c))
2.0ms	cosTheta	@	-inf	(/ 1 (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (* (sqrt (- (/ 1 (* (PI) cosTheta)) (/ 2 (PI)))) (sqrt cosTheta))))))
2.0ms	cosTheta	@	-inf	(* (sqrt (- (/ 1 (* (PI) cosTheta)) (/ 2 (PI)))) (sqrt cosTheta))
2.0ms	cosTheta	@	inf	(/ 1 (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (* (sqrt (- (/ 1 (* (PI) cosTheta)) (/ 2 (PI)))) (sqrt cosTheta))))))
1.0ms	cosTheta	@	-inf	(/ (sqrt (* cosTheta (- (/ (/ 1 cosTheta) (PI)) (/ 2 (PI))))) cosTheta)

rewrite193.0ms (1.4%)

Memory

33.3MiB live, 270.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

441×	`log1p-expm1-u`
441×	`expm1-log1p-u`
425×	`add-exp-log`
425×	`add-cube-cbrt`
422×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	975
1	1075	951

Stop Event

1×	node limit

Counts

22 → 449

Calls

Call 1

Inputs
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))
(+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c))))
(+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))
(fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c))
(.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta)))
(sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))
(*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)))
(.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))))))
(*.f32 (PI.f32) cosTheta)

Outputs
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (cbrt.f32 (pow.f32 cosTheta #s(literal 4 binary32)))) (cbrt.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(log.f32 (exp.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(cbrt.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(+.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))) (log.f32 (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (log.f32 (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 #s(literal 0 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(-.f32 (exp.f32 (log1p.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))
(log.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (log.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (neg.f32 (/.f32 #s(literal 2 binary32) (PI.f32))))
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (neg.f32 (.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (neg.f32 (.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32)))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32)))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta (PI.f32)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (.f32 cosTheta (PI.f32)))) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta (PI.f32)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (.f32 cosTheta (PI.f32)))) (neg.f32 (.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta (PI.f32)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (.f32 cosTheta (PI.f32)))) (neg.f32 (.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32)))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (neg.f32 (.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (neg.f32 (.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32)))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (-.f32 (PI.f32) (.f32 (.f32 cosTheta (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta (PI.f32)) (PI.f32)))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta (PI.f32)) #s(literal -3 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 cosTheta (PI.f32)) #s(literal -2 binary32)) (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta (PI.f32)) #s(literal -2 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))
(pow.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log.f32 (exp.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)) #s(literal 3/2 binary32)) (pow.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))
(exp.f32 (log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (neg.f32 (/.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (/.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta (PI.f32)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (.f32 cosTheta (PI.f32)))) (neg.f32 (/.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (neg.f32 (/.f32 #s(literal 2 binary32) (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))) #s(literal 1 binary32))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)))))))
(cbrt.f32 (pow.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))))))
(log1p.f32 (expm1.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))))))
(exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))))
(exp.f32 (.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)) #s(literal -1 binary32)))
(exp.f32 (.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 cosTheta) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (PI.f32))))
(exp.f32 (log.f32 (*.f32 cosTheta (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta (PI.f32))) #s(literal 1 binary32)))

simplify523.0ms (3.7%)

Memory

-22.2MiB live, 1 011.8MiB allocated

Algorithm

1×	egg-herbie

Rules

1 566×	`fma-define`
1 060×	`times-frac`
832×	`*-commutative`
422×	`sub-neg`
422×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1621	53958
1	4158	49703

Stop Event

1×	node limit

Counts

825 → 981

Calls

Call 1

Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))
(/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 #s(literal -2 binary32) (PI.f32))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 #s(literal -2 binary32) (PI.f32))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(+.f32 (.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(+.f32 (.f32 c (-.f32 (.f32 c (+.f32 (.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c))) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)
(/.f32 #s(literal 1 binary32) c)
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c))
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32))) c))) c)) #s(literal 1 binary32)) c))
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (pow.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 binary32)) #s(literal 2 binary32))) c)) c))) c)) #s(literal 1 binary32)) c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 c (.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 (.f32 (pow.f32 c #s(literal 2 binary32)) (.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 c (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (.f32 cosTheta (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))))) (.f32 #s(literal -1 binary32) (.f32 (.f32 (pow.f32 c #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))))) (.f32 c (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32))))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(-.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 4 binary32)) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 4 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32))))))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 4 binary32)) (.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 4 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))))) cosTheta)) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 c #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
c
(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
(.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
c
(.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))
(.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))
(.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
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(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 c (.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))) cosTheta)
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(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal -1/2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (PI.f32))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (PI.f32))) #s(literal 1/2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (PI.f32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c)))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c) #s(literal 3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c))))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c))))
(exp.f32 (log.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))) #s(literal 2 binary32))
(sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))
(log.f32 (exp.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))) #s(literal 3/2 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)) #s(literal 3/2 binary32)) (pow.f32 cosTheta #s(literal 3/2 binary32))))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3/2 binary32)) (pow.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))))
(exp.f32 (log.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) #s(literal 1/2 binary32)))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)))))
(.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)))))
(.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))))) (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))) #s(literal -1 binary32)))
(.f32 (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)) #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)))))))
(cbrt.f32 (pow.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))))))
(log1p.f32 (expm1.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))))))
(exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))))
(exp.f32 (.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)) #s(literal -1 binary32)))
(exp.f32 (.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 cosTheta) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (PI.f32))))
(exp.f32 (log.f32 (*.f32 cosTheta (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta (PI.f32))) #s(literal 1 binary32)))

Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal -1 binary32))))
(fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal -1 binary32))))
(fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))
(/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 #s(literal -2 binary32) (PI.f32))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32))
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c
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c
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(exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)))) c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)))) cosTheta) c)))
(exp.f32 (.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c)) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)))) c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)))) cosTheta) c)))
(exp.f32 (.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32)))) c))) #s(literal 1 binary32)))
(exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)))) c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)))) cosTheta) c)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (PI.f32)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (PI.f32))))
(pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 1 binary32))
(*.f32 cosTheta (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (PI.f32))) #s(literal 3 binary32))
(*.f32 cosTheta (PI.f32))
(pow.f32 (pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 cosTheta (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) #s(literal 2 binary32))
(*.f32 cosTheta (PI.f32))
(log.f32 (pow.f32 (exp.f32 cosTheta) (PI.f32)))
(*.f32 cosTheta (PI.f32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (PI.f32)))))
(*.f32 cosTheta (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 3 binary32)))
(*.f32 cosTheta (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(*.f32 cosTheta (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(*.f32 cosTheta (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (PI.f32))))
(*.f32 cosTheta (PI.f32))
(exp.f32 (log.f32 (*.f32 cosTheta (PI.f32))))
(*.f32 cosTheta (PI.f32))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta (PI.f32))) #s(literal 1 binary32)))
(*.f32 cosTheta (PI.f32))

eval339.0ms (2.4%)

Memory: 12.9MiB live, 442.0MiB allocated
Compiler: Compiled 39 065 to 6 304 computations (83.9% saved)

prune339.0ms (2.4%)

Memory

5.6MiB live, 535.0MiB allocated

Pruning

51 alts after pruning (48 fresh and 3 done)

	Pruned	Kept	Total
New	1 105	15	1 120
Fresh	10	33	43
Picked	3	2	5
Done	0	1	1
Total	1 118	51	1 169

Accuracy

100.0%

Counts

1 169 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	96.9%	(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) #s(literal 1 binary32))) #s(literal -2 binary32))
	48.8%	(pow.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))) #s(literal 2 binary32))
	96.6%	(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 2 binary32))
	98.0%	(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)))) cosTheta) c))) #s(literal -2 binary32))
	96.3%	(pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 3 binary32))
	49.2%	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)))) c)
	92.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
	10.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
	91.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	44.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	97.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
	95.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))))))
	95.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
	95.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
	97.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 cosTheta)) cosTheta)))))
	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (PI.f32) (.f32 (.f32 cosTheta (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta (PI.f32)) (PI.f32))))) cosTheta)))))
	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (/.f32 (+.f32 (/.f32 (PI.f32) cosTheta) (*.f32 (PI.f32) #s(literal -2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))) cosTheta)))))
	95.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
	96.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	97.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (log.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
	97.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	96.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
	51.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)) cosTheta)))))
✓	10.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
	92.2%	(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
	46.5%	(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
✓	49.3%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
	10.5%	(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
	49.3%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 cosTheta (neg.f32 c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
	49.0%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)))))))
	51.6%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
	49.1%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
	46.5%	(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
	10.6%	(-.f32 #s(literal 1 binary32) c)
	96.1%	(.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))))
	46.2%	(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) c))))
	48.9%	(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (/.f32 #s(literal 1 binary32) c)))))
	95.9%	(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
	92.4%	(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
	93.0%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
	46.3%	(.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
	84.5%	(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))))
✓	10.5%	#s(literal 1 binary32)

Compiler

Compiled 3 343 to 1 293 computations (61.3% saved)

regimes224.0ms (1.6%)

Memory

-0.8MiB live, 268.9MiB allocated

Counts

102 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
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(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 cosTheta (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)))) cosTheta) c))) #s(literal -2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))))) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))))) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) c)))) #s(literal 3 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))) #s(literal -2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32)))) (.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (PI.f32)))))))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))) (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))) #s(literal 2 binary32))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))))) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))))) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))

Calls

6 calls:

74.0ms	cosTheta
29.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
29.0ms	c
27.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
27.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta`
98.6%	1	`c`
98.6%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.6%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.6%	1	`(+.f32 #s(literal 1 binary32) c)`
98.6%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`

Compiler

Compiled 84 to 58 computations (31% saved)

regimes134.0ms (0.9%)

Memory

9.3MiB live, 216.3MiB allocated

Counts

74 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) c))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)))) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 cosTheta (neg.f32 c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (/.f32 (-.f32 (PI.f32) (.f32 (.f32 cosTheta (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta (PI.f32)) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) c)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (exp.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 cosTheta)) cosTheta)))))
(pow.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (/.f32 (+.f32 (/.f32 (PI.f32) cosTheta) (*.f32 (PI.f32) #s(literal -2 binary32))) (pow.f32 (PI.f32) #s(literal 2 binary32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (*.f32 (sqrt.f32 cosTheta) (sqrt.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (exp.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (.f32 cosTheta c)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))

Calls

6 calls:

22.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
22.0ms	c
21.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
21.0ms	(+.f32 #s(literal 1 binary32) c)
21.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.2%	1	`cosTheta`
98.2%	1	`c`
98.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.2%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 84 to 58 computations (31% saved)

regimes110.0ms (0.8%)

Memory

-18.8MiB live, 213.9MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) c))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)))) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 cosTheta (neg.f32 c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 cosTheta c)) cosTheta) (/.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))

Calls

6 calls:

20.0ms	c
18.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
18.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
17.0ms	cosTheta
16.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
98.1%	1	`cosTheta`
98.1%	1	`c`
98.1%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.1%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.1%	1	`(+.f32 #s(literal 1 binary32) c)`
98.1%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`

Compiler

Compiled 84 to 58 computations (31% saved)

regimes39.0ms (0.3%)

Memory

20.5MiB live, 101.9MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) c))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)))) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))

Calls

3 calls:

14.0ms	cosTheta
12.0ms	c
9.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
97.1%	1	`cosTheta`
97.1%	1	`c`
97.1%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes32.0ms (0.2%)

Memory

-8.6MiB live, 69.8MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) c))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)))) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))

Calls

3 calls:

11.0ms	c
11.0ms	cosTheta
8.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
96.4%	1	`c`
96.4%	1	`(+.f32 #s(literal 1 binary32) c)`
96.4%	1	`cosTheta`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes29.0ms (0.2%)

Memory

27.6MiB live, 66.8MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) c))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)))) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))

Outputs
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))

Calls

3 calls:

10.0ms	c
9.0ms	cosTheta
7.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
96.0%	1	`cosTheta`
96.0%	1	`c`
96.0%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes33.0ms (0.2%)

Memory

-21.4MiB live, 66.3MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) c))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)))) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))

Outputs
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))

Calls

3 calls:

10.0ms	cosTheta
9.0ms	c
7.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
95.9%	1	`cosTheta`
95.9%	1	`c`
95.9%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes27.0ms (0.2%)

Memory

-19.6MiB live, 59.4MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) c))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)))) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 cosTheta c)))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))

Calls

3 calls:

9.0ms	c
8.0ms	cosTheta
7.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
95.6%	1	`cosTheta`
95.6%	1	`c`
95.6%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes25.0ms (0.2%)

Memory

13.3MiB live, 53.9MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) c))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)))) c)

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))

Calls

3 calls:

10.0ms	cosTheta
7.0ms	c
6.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
95.4%	1	`cosTheta`
95.4%	1	`c`
95.4%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes19.0ms (0.1%)

Memory

6.7MiB live, 46.1MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))

Calls

3 calls:

7.0ms	c
6.0ms	cosTheta
5.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
95.2%	1	`cosTheta`
95.2%	1	`c`
95.2%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes17.0ms (0.1%)

Memory

0.2MiB live, 39.8MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))

Calls

3 calls:

6.0ms	c
5.0ms	cosTheta
4.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
95.2%	1	`cosTheta`
95.2%	1	`c`
95.2%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes81.0ms (0.6%)

Memory

-14.3MiB live, 25.0MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))

Calls

3 calls:

71.0ms	cosTheta
5.0ms	c
4.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
95.1%	1	`cosTheta`
95.1%	1	`c`
95.1%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.1%)

Memory

27.9MiB live, 27.9MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (.f32 c (.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))

Outputs
(*.f32 cosTheta (sqrt.f32 (PI.f32)))

Calls

3 calls:

5.0ms	cosTheta
5.0ms	c
4.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
93.0%	1	`cosTheta`
93.0%	1	`c`
93.0%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory

-25.4MiB live, 16.2MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))

Outputs
(-.f32 #s(literal 1 binary32) c)

Calls

3 calls:

4.0ms	cosTheta
2.0ms	c
2.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
10.6%	1	`c`
10.6%	1	`(+.f32 #s(literal 1 binary32) c)`
10.6%	1	`cosTheta`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

2 calls:

1.0ms	c
1.0ms	cosTheta

Results

Accuracy	Segments	Branch
10.5%	1	`cosTheta`
10.5%	1	`c`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify117.0ms (0.8%)

Memory

4.1MiB live, 82.4MiB allocated

Algorithm

1×	egg-herbie

Rules

586×	`distribute-lft-neg-in`
530×	`unsub-neg`
358×	`neg-mul-1`
274×	`neg-sub0`
226×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	862
1	166	862
2	219	862
3	251	862
4	290	862
5	333	862
6	359	862
7	447	862
8	561	862
9	592	862
10	652	862
11	796	862
12	1044	862
13	1296	862
14	1519	862
15	1687	862
16	1789	862
17	1866	862
18	1911	862
19	1943	862
20	1959	862
21	1964	862
22	1964	862

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(-.f32 #s(literal 1 binary32) c)
#s(literal 1 binary32)

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 (exp.f32 (.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c)))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal -1 binary32) c)))))
(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 1 binary32)))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 #s(literal -1 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(-.f32 #s(literal 1 binary32) c)
#s(literal 1 binary32)

soundness1.9s (13.1%)

Memory

43.9MiB live, 1 931.7MiB allocated

Rules

1 888×	`times-frac`
1 482×	`associate-r`
1 290×	`*-commutative`
1 240×	`div-sub`
1 222×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	1250	47542
1	3117	45080
0	1968	64864
1	5364	63486
0	52	998
1	1028	937
0	1959	65481
1	5656	62848
0	65	1185
1	1361	1117
0	52	687
1	149	596
2	435	592
3	1471	560
4	4275	560
5	5908	560
6	7649	560

Stop Event

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

Compiler

Compiled 1 533 to 528 computations (65.6% saved)

preprocess134.0ms (0.9%)

Memory: -25.8MiB live, 128.2MiB allocated
Compiler: Compiled 526 to 208 computations (60.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze25.0ms (0.2%)

sample2.6s (18.6%)

preprocess147.0ms (1%)

explain301.0ms (2.1%)

eval1.0ms (0%)

prune4.0ms (0%)

simplify341.0ms (2.4%)

localize327.0ms (2.3%)

series137.0ms (1%)

rewrite308.0ms (2.2%)

simplify436.0ms (3.1%)

eval117.0ms (0.8%)

prune209.0ms (1.5%)

simplify124.0ms (0.9%)

localize234.0ms (1.6%)

series156.0ms (1.1%)

rewrite189.0ms (1.3%)

simplify878.0ms (6.2%)

eval315.0ms (2.2%)

prune338.0ms (2.4%)

simplify109.0ms (0.8%)

localize201.0ms (1.4%)

series128.0ms (0.9%)

rewrite211.0ms (1.5%)

simplify550.0ms (3.9%)

eval631.0ms (4.4%)

prune283.0ms (2%)

simplify101.0ms (0.7%)

localize430.0ms (3%)

series57.0ms (0.4%)

rewrite193.0ms (1.4%)

simplify523.0ms (3.7%)

eval339.0ms (2.4%)

prune339.0ms (2.4%)

regimes224.0ms (1.6%)

regimes134.0ms (0.9%)

regimes110.0ms (0.8%)

regimes39.0ms (0.3%)

regimes32.0ms (0.2%)

regimes29.0ms (0.2%)

regimes33.0ms (0.2%)

regimes27.0ms (0.2%)

regimes25.0ms (0.2%)

regimes19.0ms (0.1%)

regimes17.0ms (0.1%)

regimes81.0ms (0.6%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

simplify117.0ms (0.8%)

soundness1.9s (13.1%)

preprocess134.0ms (0.9%)

end0.0ms (0%)

Profiling